TSTP Solution File: SYO179^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO179^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:10:30 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO179^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 10:06:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (23199)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (23201)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (23200)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (23203)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (23205)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (23202)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (23204)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (23206)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (23203)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % (23202)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % Exception at run slice level% Exception at run slice level
% 0.14/0.38
% 0.14/0.38 User error: User error: % Exception at run slice levelFinite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.40 % (23207)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.40 % (23208)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.40 % (23209)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.40 % (23210)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.40 % (23208)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.40 % (23209)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.40 % Exception at run slice level
% 0.14/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.40 % Exception at run slice level
% 0.14/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.42 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.21/0.42 % (23211)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.43 % (23202)First to succeed.
% 0.21/0.44 % (23205)Also succeeded, but the first one will report.
% 0.21/0.44 % (23202)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23199"
% 0.21/0.44 % (23202)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% 0.21/0.44 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.44 thf(func_def_0, type, cG: $i > $i > $o).
% 0.21/0.44 thf(func_def_1, type, cR: $i > $i > $o).
% 0.21/0.44 thf(func_def_12, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.21/0.44 thf(func_def_13, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.21/0.44 thf(func_def_14, type, vAND: $o > $o > $o).
% 0.21/0.44 thf(func_def_15, type, vOR: $o > $o > $o).
% 0.21/0.44 thf(func_def_16, type, vIMP: $o > $o > $o).
% 0.21/0.44 thf(func_def_17, type, vNOT: $o > $o).
% 0.21/0.44 thf(func_def_18, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.21/0.44 thf(f1173,plain,(
% 0.21/0.44 $false),
% 0.21/0.44 inference(avatar_sat_refutation,[],[f62,f71,f80,f89,f98,f107,f116,f125,f134,f143,f152,f161,f170,f179,f188,f255,f268,f275,f288,f295,f306,f326,f357,f366,f369,f396,f413,f430,f475,f486,f529,f540,f557,f574,f611,f640,f647,f676,f723,f779,f782,f811,f838,f855,f882,f915,f960,f974,f1008,f1037,f1119,f1172])).
% 0.21/0.44 thf(f1172,plain,(
% 0.21/0.44 ~spl0_4 | ~spl0_10 | ~spl0_24),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f1171])).
% 0.21/0.44 thf(f1171,plain,(
% 0.21/0.44 $false | (~spl0_4 | ~spl0_10 | ~spl0_24)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f1168])).
% 0.21/0.44 thf(f1168,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_4 | ~spl0_10 | ~spl0_24)),
% 0.21/0.44 inference(superposition,[],[f1133,f97])).
% 0.21/0.44 thf(f97,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) = $true) | ~spl0_10),
% 0.21/0.44 inference(avatar_component_clause,[],[f95])).
% 0.21/0.44 thf(f95,plain,(
% 0.21/0.44 spl0_10 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.21/0.44 thf(f1133,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) != $true) | (~spl0_4 | ~spl0_24)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f1130])).
% 0.21/0.44 thf(f1130,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) != $true) | (~spl0_4 | ~spl0_24)),
% 0.21/0.44 inference(superposition,[],[f1024,f70])).
% 0.21/0.44 thf(f70,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) = $true) | ~spl0_4),
% 0.21/0.44 inference(avatar_component_clause,[],[f68])).
% 0.21/0.44 thf(f68,plain,(
% 0.21/0.44 spl0_4 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.21/0.44 thf(f1024,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF))) ) | ~spl0_24),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f1023])).
% 0.21/0.44 thf(f1023,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC))) ) | ~spl0_24),
% 0.21/0.44 inference(superposition,[],[f25,f160])).
% 0.21/0.44 thf(f160,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) = $true) | ~spl0_24),
% 0.21/0.44 inference(avatar_component_clause,[],[f158])).
% 0.21/0.44 thf(f158,plain,(
% 0.21/0.44 spl0_24 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 0.21/0.44 thf(f25,plain,(
% 0.21/0.44 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X1) != $true)) )),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f8,plain,(
% 0.21/0.44 ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X1) != $true)) & ! [X3,X4,X5] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X4),X5)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X3),X5)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X3),X4))) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cE),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cE),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cD) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cC) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cC) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cB) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cB) = $true))),
% 0.21/0.44 inference(flattening,[],[f7])).
% 0.21/0.44 thf(f7,plain,(
% 0.21/0.44 (! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X1) != $true)) & ! [X3,X4,X5] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X4),X5)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X3),X5)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X3),X4)))) & (((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cE),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cE),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cD) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cC) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cC) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cB) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cB) = $true)))),
% 0.21/0.44 inference(ennf_transformation,[],[f6])).
% 0.21/0.44 thf(f6,plain,(
% 0.21/0.44 ~((((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cE),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cE),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cD) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cC) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cC) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC) = $true)) & ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cB) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cB) = $true))) => (? [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X1),X2) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X2) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X1) = $true)) | ? [X3,X4,X5] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X4),X5)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X3),X5)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X3),X4)))))),
% 0.21/0.44 inference(fool_elimination,[],[f5])).
% 0.21/0.44 thf(f5,plain,(
% 0.21/0.44 ~(((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cE),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cE),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cD) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cD)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cC) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cC)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cB) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cB))) => (? [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X1)) | ? [X3,X4,X5] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X4),X5) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X3),X5) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X3),X4))))),
% 0.21/0.44 inference(rectify,[],[f2])).
% 0.21/0.44 thf(f2,negated_conjecture,(
% 0.21/0.44 ~(((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cE),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cE),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cD) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cD)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cC) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cC)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cB) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cB))) => (? [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X1)) | ? [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X1))))),
% 0.21/0.44 inference(negated_conjecture,[],[f1])).
% 0.21/0.44 thf(f1,conjecture,(
% 0.21/0.44 ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cE),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cE),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cD) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cD)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cC) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cC)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cB) | vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cB))) => (? [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),X1)) | ? [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X1)))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSIX_THEOREM_B)).
% 0.21/0.44 thf(f1119,plain,(
% 0.21/0.44 ~spl0_2 | ~spl0_6 | ~spl0_14),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f1118])).
% 0.21/0.44 thf(f1118,plain,(
% 0.21/0.44 $false | (~spl0_2 | ~spl0_6 | ~spl0_14)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f1115])).
% 0.21/0.44 thf(f1115,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_2 | ~spl0_6 | ~spl0_14)),
% 0.21/0.44 inference(superposition,[],[f1111,f79])).
% 0.21/0.44 thf(f79,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) = $true) | ~spl0_6),
% 0.21/0.44 inference(avatar_component_clause,[],[f77])).
% 0.21/0.44 thf(f77,plain,(
% 0.21/0.44 spl0_6 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.21/0.44 thf(f1111,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) != $true) | (~spl0_2 | ~spl0_14)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f1108])).
% 0.21/0.44 thf(f1108,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) != $true) | (~spl0_2 | ~spl0_14)),
% 0.21/0.44 inference(superposition,[],[f1053,f61])).
% 0.21/0.44 thf(f61,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cB) = $true) | ~spl0_2),
% 0.21/0.44 inference(avatar_component_clause,[],[f59])).
% 0.21/0.44 thf(f59,plain,(
% 0.21/0.44 spl0_2 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cB) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.21/0.44 thf(f1053,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cB)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD))) ) | ~spl0_14),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f1052])).
% 0.21/0.44 thf(f1052,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cB))) ) | ~spl0_14),
% 0.21/0.44 inference(superposition,[],[f25,f115])).
% 0.21/0.44 thf(f115,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) = $true) | ~spl0_14),
% 0.21/0.44 inference(avatar_component_clause,[],[f113])).
% 0.21/0.44 thf(f113,plain,(
% 0.21/0.44 spl0_14 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
% 0.21/0.44 thf(f1037,plain,(
% 0.21/0.44 ~spl0_19 | ~spl0_21 | ~spl0_25),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f1036])).
% 0.21/0.44 thf(f1036,plain,(
% 0.21/0.44 $false | (~spl0_19 | ~spl0_21 | ~spl0_25)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f1033])).
% 0.21/0.44 thf(f1033,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_19 | ~spl0_21 | ~spl0_25)),
% 0.21/0.44 inference(superposition,[],[f1020,f147])).
% 0.21/0.44 thf(f147,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE) = $true) | ~spl0_21),
% 0.21/0.44 inference(avatar_component_clause,[],[f145])).
% 0.21/0.44 thf(f145,plain,(
% 0.21/0.44 spl0_21 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
% 0.21/0.44 thf(f1020,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE) != $true) | (~spl0_19 | ~spl0_25)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f1017])).
% 0.21/0.44 thf(f1017,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE) != $true) | (~spl0_19 | ~spl0_25)),
% 0.21/0.44 inference(superposition,[],[f902,f138])).
% 0.21/0.44 thf(f138,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cD) = $true) | ~spl0_19),
% 0.21/0.44 inference(avatar_component_clause,[],[f136])).
% 0.21/0.44 thf(f136,plain,(
% 0.21/0.44 spl0_19 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cD) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
% 0.21/0.44 thf(f902,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE))) ) | ~spl0_25),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f901])).
% 0.21/0.44 thf(f901,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD))) ) | ~spl0_25),
% 0.21/0.44 inference(superposition,[],[f24,f165])).
% 0.21/0.44 thf(f165,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cE) = $true) | ~spl0_25),
% 0.21/0.44 inference(avatar_component_clause,[],[f163])).
% 0.21/0.44 thf(f163,plain,(
% 0.21/0.44 spl0_25 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cE) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 0.21/0.44 thf(f24,plain,(
% 0.21/0.44 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X4),X5)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X3),X5)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X3),X4))) )),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f1008,plain,(
% 0.21/0.44 ~spl0_1 | ~spl0_3 | ~spl0_11),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f1007])).
% 0.21/0.44 thf(f1007,plain,(
% 0.21/0.44 $false | (~spl0_1 | ~spl0_3 | ~spl0_11)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f1004])).
% 0.21/0.44 thf(f1004,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_1 | ~spl0_3 | ~spl0_11)),
% 0.21/0.44 inference(superposition,[],[f980,f66])).
% 0.21/0.44 thf(f66,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC) = $true) | ~spl0_3),
% 0.21/0.44 inference(avatar_component_clause,[],[f64])).
% 0.21/0.44 thf(f64,plain,(
% 0.21/0.44 spl0_3 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.21/0.44 thf(f980,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC) != $true) | (~spl0_1 | ~spl0_11)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f975])).
% 0.21/0.44 thf(f975,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC) != $true) | (~spl0_1 | ~spl0_11)),
% 0.21/0.44 inference(superposition,[],[f894,f57])).
% 0.21/0.44 thf(f57,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cB) = $true) | ~spl0_1),
% 0.21/0.44 inference(avatar_component_clause,[],[f55])).
% 0.21/0.44 thf(f55,plain,(
% 0.21/0.44 spl0_1 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cB) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.21/0.44 thf(f894,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cB)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC))) ) | ~spl0_11),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f893])).
% 0.21/0.44 thf(f893,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cB))) ) | ~spl0_11),
% 0.21/0.44 inference(superposition,[],[f24,f102])).
% 0.21/0.44 thf(f102,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cC) = $true) | ~spl0_11),
% 0.21/0.44 inference(avatar_component_clause,[],[f100])).
% 0.21/0.44 thf(f100,plain,(
% 0.21/0.44 spl0_11 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cC) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 0.21/0.44 thf(f974,plain,(
% 0.21/0.44 ~spl0_5 | ~spl0_7 | ~spl0_25),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f973])).
% 0.21/0.44 thf(f973,plain,(
% 0.21/0.44 $false | (~spl0_5 | ~spl0_7 | ~spl0_25)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f970])).
% 0.21/0.44 thf(f970,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_5 | ~spl0_7 | ~spl0_25)),
% 0.21/0.44 inference(superposition,[],[f967,f84])).
% 0.21/0.44 thf(f84,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) = $true) | ~spl0_7),
% 0.21/0.44 inference(avatar_component_clause,[],[f82])).
% 0.21/0.44 thf(f82,plain,(
% 0.21/0.44 spl0_7 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.21/0.44 thf(f967,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) != $true) | (~spl0_5 | ~spl0_25)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f964])).
% 0.21/0.44 thf(f964,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) != $true) | (~spl0_5 | ~spl0_25)),
% 0.21/0.44 inference(superposition,[],[f902,f75])).
% 0.21/0.44 thf(f75,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD) = $true) | ~spl0_5),
% 0.21/0.44 inference(avatar_component_clause,[],[f73])).
% 0.21/0.44 thf(f73,plain,(
% 0.21/0.44 spl0_5 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.21/0.44 thf(f960,plain,(
% 0.21/0.44 ~spl0_11 | ~spl0_17 | ~spl0_23),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f959])).
% 0.21/0.44 thf(f959,plain,(
% 0.21/0.44 $false | (~spl0_11 | ~spl0_17 | ~spl0_23)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f956])).
% 0.21/0.44 thf(f956,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_11 | ~spl0_17 | ~spl0_23)),
% 0.21/0.44 inference(superposition,[],[f955,f129])).
% 0.21/0.44 thf(f129,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) = $true) | ~spl0_17),
% 0.21/0.44 inference(avatar_component_clause,[],[f127])).
% 0.21/0.44 thf(f127,plain,(
% 0.21/0.44 spl0_17 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
% 0.21/0.44 thf(f955,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) != $true) | (~spl0_11 | ~spl0_23)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f952])).
% 0.21/0.44 thf(f952,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) != $true) | (~spl0_11 | ~spl0_23)),
% 0.21/0.44 inference(superposition,[],[f900,f102])).
% 0.21/0.44 thf(f900,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF))) ) | ~spl0_23),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f899])).
% 0.21/0.44 thf(f899,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC))) ) | ~spl0_23),
% 0.21/0.44 inference(superposition,[],[f24,f156])).
% 0.21/0.44 thf(f156,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF) = $true) | ~spl0_23),
% 0.21/0.44 inference(avatar_component_clause,[],[f154])).
% 0.21/0.44 thf(f154,plain,(
% 0.21/0.44 spl0_23 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])).
% 0.21/0.44 thf(f915,plain,(
% 0.21/0.44 ~spl0_2 | ~spl0_8 | ~spl0_16),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f914])).
% 0.21/0.44 thf(f914,plain,(
% 0.21/0.44 $false | (~spl0_2 | ~spl0_8 | ~spl0_16)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f911])).
% 0.21/0.44 thf(f911,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_2 | ~spl0_8 | ~spl0_16)),
% 0.21/0.44 inference(superposition,[],[f886,f88])).
% 0.21/0.44 thf(f88,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) = $true) | ~spl0_8),
% 0.21/0.44 inference(avatar_component_clause,[],[f86])).
% 0.21/0.44 thf(f86,plain,(
% 0.21/0.44 spl0_8 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.21/0.44 thf(f886,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) != $true) | (~spl0_2 | ~spl0_16)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f883])).
% 0.21/0.44 thf(f883,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) != $true) | (~spl0_2 | ~spl0_16)),
% 0.21/0.44 inference(superposition,[],[f798,f61])).
% 0.21/0.44 thf(f798,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cB)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cE))) ) | ~spl0_16),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f797])).
% 0.21/0.44 thf(f797,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cB))) ) | ~spl0_16),
% 0.21/0.44 inference(superposition,[],[f25,f124])).
% 0.21/0.44 thf(f124,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) = $true) | ~spl0_16),
% 0.21/0.44 inference(avatar_component_clause,[],[f122])).
% 0.21/0.44 thf(f122,plain,(
% 0.21/0.44 spl0_16 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 0.21/0.44 thf(f882,plain,(
% 0.21/0.44 ~spl0_6 | ~spl0_10 | ~spl0_28),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f881])).
% 0.21/0.44 thf(f881,plain,(
% 0.21/0.44 $false | (~spl0_6 | ~spl0_10 | ~spl0_28)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f878])).
% 0.21/0.44 thf(f878,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_6 | ~spl0_10 | ~spl0_28)),
% 0.21/0.44 inference(superposition,[],[f865,f97])).
% 0.21/0.44 thf(f865,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) != $true) | (~spl0_6 | ~spl0_28)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f860])).
% 0.21/0.44 thf(f860,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) != $true) | (~spl0_6 | ~spl0_28)),
% 0.21/0.44 inference(superposition,[],[f802,f79])).
% 0.21/0.44 thf(f802,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF))) ) | ~spl0_28),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f801])).
% 0.21/0.44 thf(f801,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD))) ) | ~spl0_28),
% 0.21/0.44 inference(superposition,[],[f25,f178])).
% 0.21/0.44 thf(f178,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) = $true) | ~spl0_28),
% 0.21/0.44 inference(avatar_component_clause,[],[f176])).
% 0.21/0.44 thf(f176,plain,(
% 0.21/0.44 spl0_28 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])).
% 0.21/0.44 thf(f855,plain,(
% 0.21/0.44 ~spl0_20 | ~spl0_24 | ~spl0_28),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f854])).
% 0.21/0.44 thf(f854,plain,(
% 0.21/0.44 $false | (~spl0_20 | ~spl0_24 | ~spl0_28)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f851])).
% 0.21/0.44 thf(f851,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_20 | ~spl0_24 | ~spl0_28)),
% 0.21/0.44 inference(superposition,[],[f850,f160])).
% 0.21/0.44 thf(f850,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) != $true) | (~spl0_20 | ~spl0_28)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f847])).
% 0.21/0.44 thf(f847,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) != $true) | (~spl0_20 | ~spl0_28)),
% 0.21/0.44 inference(superposition,[],[f802,f142])).
% 0.21/0.44 thf(f142,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cD) = $true) | ~spl0_20),
% 0.21/0.44 inference(avatar_component_clause,[],[f140])).
% 0.21/0.44 thf(f140,plain,(
% 0.21/0.44 spl0_20 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cD) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])).
% 0.21/0.44 thf(f838,plain,(
% 0.21/0.44 ~spl0_21 | ~spl0_23 | ~spl0_29),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f837])).
% 0.21/0.44 thf(f837,plain,(
% 0.21/0.44 $false | (~spl0_21 | ~spl0_23 | ~spl0_29)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f834])).
% 0.21/0.44 thf(f834,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_21 | ~spl0_23 | ~spl0_29)),
% 0.21/0.44 inference(superposition,[],[f827,f156])).
% 0.21/0.44 thf(f827,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF) != $true) | (~spl0_21 | ~spl0_29)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f824])).
% 0.21/0.44 thf(f824,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF) != $true) | (~spl0_21 | ~spl0_29)),
% 0.21/0.44 inference(superposition,[],[f684,f147])).
% 0.21/0.44 thf(f684,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF))) ) | ~spl0_29),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f683])).
% 0.21/0.44 thf(f683,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE))) ) | ~spl0_29),
% 0.21/0.44 inference(superposition,[],[f24,f183])).
% 0.21/0.44 thf(f183,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cE),cF) = $true) | ~spl0_29),
% 0.21/0.44 inference(avatar_component_clause,[],[f181])).
% 0.21/0.44 thf(f181,plain,(
% 0.21/0.44 spl0_29 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cE),cF) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])).
% 0.21/0.44 thf(f811,plain,(
% 0.21/0.44 ~spl0_12 | ~spl0_16 | ~spl0_22),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f810])).
% 0.21/0.44 thf(f810,plain,(
% 0.21/0.44 $false | (~spl0_12 | ~spl0_16 | ~spl0_22)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f807])).
% 0.21/0.44 thf(f807,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_12 | ~spl0_16 | ~spl0_22)),
% 0.21/0.44 inference(superposition,[],[f794,f124])).
% 0.21/0.44 thf(f794,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) != $true) | (~spl0_12 | ~spl0_22)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f791])).
% 0.21/0.44 thf(f791,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) != $true) | (~spl0_12 | ~spl0_22)),
% 0.21/0.44 inference(superposition,[],[f733,f106])).
% 0.21/0.44 thf(f106,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cC) = $true) | ~spl0_12),
% 0.21/0.44 inference(avatar_component_clause,[],[f104])).
% 0.21/0.44 thf(f104,plain,(
% 0.21/0.44 spl0_12 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cC) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 0.21/0.44 thf(f733,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cE))) ) | ~spl0_22),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f732])).
% 0.21/0.44 thf(f732,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC))) ) | ~spl0_22),
% 0.21/0.44 inference(superposition,[],[f25,f151])).
% 0.21/0.44 thf(f151,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) = $true) | ~spl0_22),
% 0.21/0.44 inference(avatar_component_clause,[],[f149])).
% 0.21/0.44 thf(f149,plain,(
% 0.21/0.44 spl0_22 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])).
% 0.21/0.44 thf(f782,plain,(
% 0.21/0.44 ~spl0_14 | ~spl0_16 | ~spl0_26),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f781])).
% 0.21/0.44 thf(f781,plain,(
% 0.21/0.44 $false | (~spl0_14 | ~spl0_16 | ~spl0_26)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f780])).
% 0.21/0.44 thf(f780,plain,(
% 0.21/0.44 ($true = $false) | (~spl0_14 | ~spl0_16 | ~spl0_26)),
% 0.21/0.44 inference(forward_demodulation,[],[f124,f600])).
% 0.21/0.44 thf(f600,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) = $false) | (~spl0_14 | ~spl0_26)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f599])).
% 0.21/0.44 thf(f599,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) = $false) | (~spl0_14 | ~spl0_26)),
% 0.21/0.44 inference(superposition,[],[f597,f4])).
% 0.21/0.44 thf(f4,plain,(
% 0.21/0.44 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.21/0.44 introduced(fool_axiom,[])).
% 0.21/0.44 thf(f597,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) != $true) | (~spl0_14 | ~spl0_26)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f594])).
% 0.21/0.44 thf(f594,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) != $true) | (~spl0_14 | ~spl0_26)),
% 0.21/0.44 inference(superposition,[],[f491,f115])).
% 0.21/0.44 thf(f491,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cE))) ) | ~spl0_26),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f490])).
% 0.21/0.44 thf(f490,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD))) ) | ~spl0_26),
% 0.21/0.44 inference(superposition,[],[f25,f169])).
% 0.21/0.44 thf(f169,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cE) = $true) | ~spl0_26),
% 0.21/0.44 inference(avatar_component_clause,[],[f167])).
% 0.21/0.44 thf(f167,plain,(
% 0.21/0.44 spl0_26 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cE) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
% 0.21/0.44 thf(f779,plain,(
% 0.21/0.44 ~spl0_4 | ~spl0_8 | ~spl0_22),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f778])).
% 0.21/0.44 thf(f778,plain,(
% 0.21/0.44 $false | (~spl0_4 | ~spl0_8 | ~spl0_22)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f775])).
% 0.21/0.44 thf(f775,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_4 | ~spl0_8 | ~spl0_22)),
% 0.21/0.44 inference(superposition,[],[f774,f88])).
% 0.21/0.44 thf(f774,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) != $true) | (~spl0_4 | ~spl0_22)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f771])).
% 0.21/0.44 thf(f771,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) != $true) | (~spl0_4 | ~spl0_22)),
% 0.21/0.44 inference(superposition,[],[f733,f70])).
% 0.21/0.44 thf(f723,plain,(
% 0.21/0.44 ~spl0_12 | ~spl0_14 | ~spl0_20),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f722])).
% 0.21/0.44 thf(f722,plain,(
% 0.21/0.44 $false | (~spl0_12 | ~spl0_14 | ~spl0_20)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f719])).
% 0.21/0.44 thf(f719,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_12 | ~spl0_14 | ~spl0_20)),
% 0.21/0.44 inference(superposition,[],[f718,f115])).
% 0.21/0.44 thf(f718,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) != $true) | (~spl0_12 | ~spl0_20)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f715])).
% 0.21/0.44 thf(f715,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) != $true) | (~spl0_12 | ~spl0_20)),
% 0.21/0.44 inference(superposition,[],[f658,f106])).
% 0.21/0.44 thf(f658,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD))) ) | ~spl0_20),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f657])).
% 0.21/0.44 thf(f657,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC))) ) | ~spl0_20),
% 0.21/0.44 inference(superposition,[],[f25,f142])).
% 0.21/0.44 thf(f676,plain,(
% 0.21/0.44 ~spl0_8 | ~spl0_10 | ~spl0_30),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f675])).
% 0.21/0.44 thf(f675,plain,(
% 0.21/0.44 $false | (~spl0_8 | ~spl0_10 | ~spl0_30)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f672])).
% 0.21/0.44 thf(f672,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_8 | ~spl0_10 | ~spl0_30)),
% 0.21/0.44 inference(superposition,[],[f655,f97])).
% 0.21/0.44 thf(f655,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) != $true) | (~spl0_8 | ~spl0_30)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f652])).
% 0.21/0.44 thf(f652,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) != $true) | (~spl0_8 | ~spl0_30)),
% 0.21/0.44 inference(superposition,[],[f402,f88])).
% 0.21/0.44 thf(f402,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF))) ) | ~spl0_30),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f401])).
% 0.21/0.44 thf(f401,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cE))) ) | ~spl0_30),
% 0.21/0.44 inference(superposition,[],[f25,f187])).
% 0.21/0.44 thf(f187,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cE),cF) = $true) | ~spl0_30),
% 0.21/0.44 inference(avatar_component_clause,[],[f185])).
% 0.21/0.44 thf(f185,plain,(
% 0.21/0.44 spl0_30 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cE),cF) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
% 0.21/0.44 thf(f647,plain,(
% 0.21/0.44 ~spl0_19 | ~spl0_23 | ~spl0_27),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f646])).
% 0.21/0.44 thf(f646,plain,(
% 0.21/0.44 $false | (~spl0_19 | ~spl0_23 | ~spl0_27)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f643])).
% 0.21/0.44 thf(f643,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_19 | ~spl0_23 | ~spl0_27)),
% 0.21/0.44 inference(superposition,[],[f621,f156])).
% 0.21/0.44 thf(f621,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF) != $true) | (~spl0_19 | ~spl0_27)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f618])).
% 0.21/0.44 thf(f618,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF) != $true) | (~spl0_19 | ~spl0_27)),
% 0.21/0.44 inference(superposition,[],[f494,f138])).
% 0.21/0.44 thf(f494,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF))) ) | ~spl0_27),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f493])).
% 0.21/0.44 thf(f493,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD))) ) | ~spl0_27),
% 0.21/0.44 inference(superposition,[],[f24,f174])).
% 0.21/0.44 thf(f174,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cF) = $true) | ~spl0_27),
% 0.21/0.44 inference(avatar_component_clause,[],[f172])).
% 0.21/0.44 thf(f172,plain,(
% 0.21/0.44 spl0_27 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cF) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_27])])).
% 0.21/0.44 thf(f640,plain,(
% 0.21/0.44 ~spl0_22 | ~spl0_24 | ~spl0_30),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f639])).
% 0.21/0.44 thf(f639,plain,(
% 0.21/0.44 $false | (~spl0_22 | ~spl0_24 | ~spl0_30)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f636])).
% 0.21/0.44 thf(f636,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_22 | ~spl0_24 | ~spl0_30)),
% 0.21/0.44 inference(superposition,[],[f625,f160])).
% 0.21/0.44 thf(f625,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) != $true) | (~spl0_22 | ~spl0_30)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f622])).
% 0.21/0.44 thf(f622,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) != $true) | (~spl0_22 | ~spl0_30)),
% 0.21/0.44 inference(superposition,[],[f402,f151])).
% 0.21/0.44 thf(f611,plain,(
% 0.21/0.44 ~spl0_5 | ~spl0_9 | ~spl0_27),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f610])).
% 0.21/0.44 thf(f610,plain,(
% 0.21/0.44 $false | (~spl0_5 | ~spl0_9 | ~spl0_27)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f607])).
% 0.21/0.44 thf(f607,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_5 | ~spl0_9 | ~spl0_27)),
% 0.21/0.44 inference(superposition,[],[f604,f93])).
% 0.21/0.44 thf(f93,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) = $true) | ~spl0_9),
% 0.21/0.44 inference(avatar_component_clause,[],[f91])).
% 0.21/0.44 thf(f91,plain,(
% 0.21/0.44 spl0_9 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.21/0.44 thf(f604,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) != $true) | (~spl0_5 | ~spl0_27)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f601])).
% 0.21/0.44 thf(f601,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) != $true) | (~spl0_5 | ~spl0_27)),
% 0.21/0.44 inference(superposition,[],[f494,f75])).
% 0.21/0.44 thf(f574,plain,(
% 0.21/0.44 ~spl0_1 | ~spl0_5 | ~spl0_13),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f573])).
% 0.21/0.44 thf(f573,plain,(
% 0.21/0.44 $false | (~spl0_1 | ~spl0_5 | ~spl0_13)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f570])).
% 0.21/0.44 thf(f570,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_1 | ~spl0_5 | ~spl0_13)),
% 0.21/0.44 inference(superposition,[],[f569,f75])).
% 0.21/0.44 thf(f569,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD) != $true) | (~spl0_1 | ~spl0_13)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f566])).
% 0.21/0.44 thf(f566,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD) != $true) | (~spl0_1 | ~spl0_13)),
% 0.21/0.44 inference(superposition,[],[f488,f57])).
% 0.21/0.44 thf(f488,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cB)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD))) ) | ~spl0_13),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f487])).
% 0.21/0.44 thf(f487,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cB))) ) | ~spl0_13),
% 0.21/0.44 inference(superposition,[],[f24,f111])).
% 0.21/0.44 thf(f111,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD) = $true) | ~spl0_13),
% 0.21/0.44 inference(avatar_component_clause,[],[f109])).
% 0.21/0.44 thf(f109,plain,(
% 0.21/0.44 spl0_13 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
% 0.21/0.44 thf(f557,plain,(
% 0.21/0.44 ~spl0_1 | ~spl0_7 | ~spl0_15),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f556])).
% 0.21/0.44 thf(f556,plain,(
% 0.21/0.44 $false | (~spl0_1 | ~spl0_7 | ~spl0_15)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f553])).
% 0.21/0.44 thf(f553,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_1 | ~spl0_7 | ~spl0_15)),
% 0.21/0.44 inference(superposition,[],[f544,f84])).
% 0.21/0.44 thf(f544,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) != $true) | (~spl0_1 | ~spl0_15)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f541])).
% 0.21/0.44 thf(f541,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) != $true) | (~spl0_1 | ~spl0_15)),
% 0.21/0.44 inference(superposition,[],[f211,f57])).
% 0.21/0.44 thf(f211,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cB)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE))) ) | ~spl0_15),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f196])).
% 0.21/0.44 thf(f196,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cB))) ) | ~spl0_15),
% 0.21/0.44 inference(superposition,[],[f24,f120])).
% 0.21/0.44 thf(f120,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE) = $true) | ~spl0_15),
% 0.21/0.44 inference(avatar_component_clause,[],[f118])).
% 0.21/0.44 thf(f118,plain,(
% 0.21/0.44 spl0_15 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 0.21/0.44 thf(f540,plain,(
% 0.21/0.44 ~spl0_11 | ~spl0_15 | ~spl0_21),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f539])).
% 0.21/0.44 thf(f539,plain,(
% 0.21/0.44 $false | (~spl0_11 | ~spl0_15 | ~spl0_21)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f536])).
% 0.21/0.44 thf(f536,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_11 | ~spl0_15 | ~spl0_21)),
% 0.21/0.44 inference(superposition,[],[f535,f120])).
% 0.21/0.44 thf(f535,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE) != $true) | (~spl0_11 | ~spl0_21)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f532])).
% 0.21/0.44 thf(f532,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE) != $true) | (~spl0_11 | ~spl0_21)),
% 0.21/0.44 inference(superposition,[],[f438,f102])).
% 0.21/0.44 thf(f438,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE))) ) | ~spl0_21),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f437])).
% 0.21/0.44 thf(f437,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC))) ) | ~spl0_21),
% 0.21/0.44 inference(superposition,[],[f24,f147])).
% 0.21/0.44 thf(f529,plain,(
% 0.21/0.44 ~spl0_4 | ~spl0_6 | ~spl0_20),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f528])).
% 0.21/0.44 thf(f528,plain,(
% 0.21/0.44 $false | (~spl0_4 | ~spl0_6 | ~spl0_20)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f525])).
% 0.21/0.44 thf(f525,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_4 | ~spl0_6 | ~spl0_20)),
% 0.21/0.44 inference(superposition,[],[f524,f79])).
% 0.21/0.44 thf(f524,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) != $true) | (~spl0_4 | ~spl0_20)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f521])).
% 0.21/0.44 thf(f521,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) != $true) | (~spl0_4 | ~spl0_20)),
% 0.21/0.44 inference(superposition,[],[f435,f70])).
% 0.21/0.44 thf(f435,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD))) ) | ~spl0_20),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f434])).
% 0.21/0.44 thf(f434,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC))) ) | ~spl0_20),
% 0.21/0.44 inference(superposition,[],[f25,f142])).
% 0.21/0.44 thf(f486,plain,(
% 0.21/0.44 ~spl0_14 | ~spl0_18 | ~spl0_28),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f485])).
% 0.21/0.44 thf(f485,plain,(
% 0.21/0.44 $false | (~spl0_14 | ~spl0_18 | ~spl0_28)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f482])).
% 0.21/0.44 thf(f482,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_14 | ~spl0_18 | ~spl0_28)),
% 0.21/0.44 inference(superposition,[],[f479,f133])).
% 0.21/0.44 thf(f133,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) = $true) | ~spl0_18),
% 0.21/0.44 inference(avatar_component_clause,[],[f131])).
% 0.21/0.44 thf(f131,plain,(
% 0.21/0.44 spl0_18 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) = $true)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
% 0.21/0.44 thf(f479,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) != $true) | (~spl0_14 | ~spl0_28)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f476])).
% 0.21/0.44 thf(f476,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) != $true) | (~spl0_14 | ~spl0_28)),
% 0.21/0.44 inference(superposition,[],[f391,f115])).
% 0.21/0.44 thf(f391,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF))) ) | ~spl0_28),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f390])).
% 0.21/0.44 thf(f390,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD))) ) | ~spl0_28),
% 0.21/0.44 inference(superposition,[],[f25,f178])).
% 0.21/0.44 thf(f475,plain,(
% 0.21/0.44 ~spl0_26 | ~spl0_28 | ~spl0_30),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f474])).
% 0.21/0.44 thf(f474,plain,(
% 0.21/0.44 $false | (~spl0_26 | ~spl0_28 | ~spl0_30)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f471])).
% 0.21/0.44 thf(f471,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_26 | ~spl0_28 | ~spl0_30)),
% 0.21/0.44 inference(superposition,[],[f470,f178])).
% 0.21/0.44 thf(f470,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) != $true) | (~spl0_26 | ~spl0_30)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f465])).
% 0.21/0.44 thf(f465,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) != $true) | (~spl0_26 | ~spl0_30)),
% 0.21/0.44 inference(superposition,[],[f402,f169])).
% 0.21/0.44 thf(f430,plain,(
% 0.21/0.44 ~spl0_2 | ~spl0_4 | ~spl0_12),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f429])).
% 0.21/0.44 thf(f429,plain,(
% 0.21/0.44 $false | (~spl0_2 | ~spl0_4 | ~spl0_12)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f426])).
% 0.21/0.44 thf(f426,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_2 | ~spl0_4 | ~spl0_12)),
% 0.21/0.44 inference(superposition,[],[f425,f70])).
% 0.21/0.44 thf(f425,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) != $true) | (~spl0_2 | ~spl0_12)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f422])).
% 0.21/0.44 thf(f422,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) != $true) | (~spl0_2 | ~spl0_12)),
% 0.21/0.44 inference(superposition,[],[f383,f61])).
% 0.21/0.44 thf(f383,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cB)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC))) ) | ~spl0_12),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f382])).
% 0.21/0.44 thf(f382,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cB))) ) | ~spl0_12),
% 0.21/0.44 inference(superposition,[],[f25,f106])).
% 0.21/0.44 thf(f413,plain,(
% 0.21/0.44 ~spl0_12 | ~spl0_18 | ~spl0_24),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f412])).
% 0.21/0.44 thf(f412,plain,(
% 0.21/0.44 $false | (~spl0_12 | ~spl0_18 | ~spl0_24)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f409])).
% 0.21/0.44 thf(f409,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_12 | ~spl0_18 | ~spl0_24)),
% 0.21/0.44 inference(superposition,[],[f384,f133])).
% 0.21/0.44 thf(f384,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) != $true) | (~spl0_12 | ~spl0_24)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f381])).
% 0.21/0.44 thf(f381,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) != $true) | (~spl0_12 | ~spl0_24)),
% 0.21/0.44 inference(superposition,[],[f257,f106])).
% 0.21/0.44 thf(f257,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF))) ) | ~spl0_24),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f256])).
% 0.21/0.44 thf(f256,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cC))) ) | ~spl0_24),
% 0.21/0.44 inference(superposition,[],[f25,f160])).
% 0.21/0.44 thf(f396,plain,(
% 0.21/0.44 ~spl0_15 | ~spl0_17 | ~spl0_29),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f395])).
% 0.21/0.44 thf(f395,plain,(
% 0.21/0.44 $false | (~spl0_15 | ~spl0_17 | ~spl0_29)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f392])).
% 0.21/0.44 thf(f392,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_15 | ~spl0_17 | ~spl0_29)),
% 0.21/0.44 inference(superposition,[],[f318,f129])).
% 0.21/0.44 thf(f318,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) != $true) | (~spl0_15 | ~spl0_29)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f313])).
% 0.21/0.44 thf(f313,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) != $true) | (~spl0_15 | ~spl0_29)),
% 0.21/0.44 inference(superposition,[],[f218,f120])).
% 0.21/0.44 thf(f218,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF))) ) | ~spl0_29),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f189])).
% 0.21/0.44 thf(f189,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE))) ) | ~spl0_29),
% 0.21/0.44 inference(superposition,[],[f24,f183])).
% 0.21/0.44 thf(f369,plain,(
% 0.21/0.44 ~spl0_2 | ~spl0_10 | ~spl0_18),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f368])).
% 0.21/0.44 thf(f368,plain,(
% 0.21/0.44 $false | (~spl0_2 | ~spl0_10 | ~spl0_18)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f367])).
% 0.21/0.44 thf(f367,plain,(
% 0.21/0.44 ($true = $false) | (~spl0_2 | ~spl0_10 | ~spl0_18)),
% 0.21/0.44 inference(forward_demodulation,[],[f97,f342])).
% 0.21/0.44 thf(f342,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) = $false) | (~spl0_2 | ~spl0_18)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f341])).
% 0.21/0.44 thf(f341,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) = $false) | (~spl0_2 | ~spl0_18)),
% 0.21/0.44 inference(superposition,[],[f340,f4])).
% 0.21/0.44 thf(f340,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) != $true) | (~spl0_2 | ~spl0_18)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f337])).
% 0.21/0.44 thf(f337,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) != $true) | (~spl0_2 | ~spl0_18)),
% 0.21/0.44 inference(superposition,[],[f297,f61])).
% 0.21/0.44 thf(f297,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cB)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF))) ) | ~spl0_18),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f296])).
% 0.21/0.44 thf(f296,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cB))) ) | ~spl0_18),
% 0.21/0.44 inference(superposition,[],[f25,f133])).
% 0.21/0.44 thf(f366,plain,(
% 0.21/0.44 ~spl0_20 | ~spl0_22 | ~spl0_26),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f365])).
% 0.21/0.44 thf(f365,plain,(
% 0.21/0.44 $false | (~spl0_20 | ~spl0_22 | ~spl0_26)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f362])).
% 0.21/0.44 thf(f362,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_20 | ~spl0_22 | ~spl0_26)),
% 0.21/0.44 inference(superposition,[],[f352,f151])).
% 0.21/0.44 thf(f352,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) != $true) | (~spl0_20 | ~spl0_26)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f347])).
% 0.21/0.44 thf(f347,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) != $true) | (~spl0_20 | ~spl0_26)),
% 0.21/0.44 inference(superposition,[],[f308,f142])).
% 0.21/0.44 thf(f308,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cE))) ) | ~spl0_26),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f307])).
% 0.21/0.44 thf(f307,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,X0),cD))) ) | ~spl0_26),
% 0.21/0.44 inference(superposition,[],[f25,f169])).
% 0.21/0.44 thf(f357,plain,(
% 0.21/0.44 ~spl0_6 | ~spl0_8 | ~spl0_26),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f356])).
% 0.21/0.44 thf(f356,plain,(
% 0.21/0.44 $false | (~spl0_6 | ~spl0_8 | ~spl0_26)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f353])).
% 0.21/0.44 thf(f353,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_6 | ~spl0_8 | ~spl0_26)),
% 0.21/0.44 inference(superposition,[],[f351,f88])).
% 0.21/0.44 thf(f351,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) != $true) | (~spl0_6 | ~spl0_26)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f348])).
% 0.21/0.44 thf(f348,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) != $true) | (~spl0_6 | ~spl0_26)),
% 0.21/0.44 inference(superposition,[],[f308,f79])).
% 0.21/0.44 thf(f326,plain,(
% 0.21/0.44 ~spl0_7 | ~spl0_9 | ~spl0_29),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f325])).
% 0.21/0.44 thf(f325,plain,(
% 0.21/0.44 $false | (~spl0_7 | ~spl0_9 | ~spl0_29)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f322])).
% 0.21/0.44 thf(f322,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_7 | ~spl0_9 | ~spl0_29)),
% 0.21/0.44 inference(superposition,[],[f317,f93])).
% 0.21/0.44 thf(f317,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) != $true) | (~spl0_7 | ~spl0_29)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f314])).
% 0.21/0.44 thf(f314,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) != $true) | (~spl0_7 | ~spl0_29)),
% 0.21/0.44 inference(superposition,[],[f218,f84])).
% 0.21/0.44 thf(f306,plain,(
% 0.21/0.44 ~spl0_13 | ~spl0_15 | ~spl0_25),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f305])).
% 0.21/0.44 thf(f305,plain,(
% 0.21/0.44 $false | (~spl0_13 | ~spl0_15 | ~spl0_25)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f302])).
% 0.21/0.44 thf(f302,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_13 | ~spl0_15 | ~spl0_25)),
% 0.21/0.44 inference(superposition,[],[f301,f120])).
% 0.21/0.44 thf(f301,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE) != $true) | (~spl0_13 | ~spl0_25)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f298])).
% 0.21/0.44 thf(f298,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE) != $true) | (~spl0_13 | ~spl0_25)),
% 0.21/0.44 inference(superposition,[],[f217,f111])).
% 0.21/0.44 thf(f217,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE))) ) | ~spl0_25),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f190])).
% 0.21/0.44 thf(f190,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD))) ) | ~spl0_25),
% 0.21/0.44 inference(superposition,[],[f24,f165])).
% 0.21/0.44 thf(f295,plain,(
% 0.21/0.44 ~spl0_13 | ~spl0_17 | ~spl0_27),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f294])).
% 0.21/0.44 thf(f294,plain,(
% 0.21/0.44 $false | (~spl0_13 | ~spl0_17 | ~spl0_27)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f291])).
% 0.21/0.44 thf(f291,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_13 | ~spl0_17 | ~spl0_27)),
% 0.21/0.44 inference(superposition,[],[f282,f129])).
% 0.21/0.44 thf(f282,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) != $true) | (~spl0_13 | ~spl0_27)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f279])).
% 0.21/0.44 thf(f279,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) != $true) | (~spl0_13 | ~spl0_27)),
% 0.21/0.44 inference(superposition,[],[f216,f111])).
% 0.21/0.44 thf(f216,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF))) ) | ~spl0_27),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f191])).
% 0.21/0.44 thf(f191,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD))) ) | ~spl0_27),
% 0.21/0.44 inference(superposition,[],[f24,f174])).
% 0.21/0.44 thf(f288,plain,(
% 0.21/0.44 ~spl0_11 | ~spl0_13 | ~spl0_19),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f287])).
% 0.21/0.44 thf(f287,plain,(
% 0.21/0.44 $false | (~spl0_11 | ~spl0_13 | ~spl0_19)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f284])).
% 0.21/0.44 thf(f284,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_11 | ~spl0_13 | ~spl0_19)),
% 0.21/0.44 inference(superposition,[],[f263,f111])).
% 0.21/0.44 thf(f263,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD) != $true) | (~spl0_11 | ~spl0_19)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f258])).
% 0.21/0.44 thf(f258,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD) != $true) | (~spl0_11 | ~spl0_19)),
% 0.21/0.44 inference(superposition,[],[f215,f102])).
% 0.21/0.44 thf(f215,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD))) ) | ~spl0_19),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f192])).
% 0.21/0.44 thf(f192,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cD)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC))) ) | ~spl0_19),
% 0.21/0.44 inference(superposition,[],[f24,f138])).
% 0.21/0.44 thf(f275,plain,(
% 0.21/0.44 ~spl0_3 | ~spl0_5 | ~spl0_19),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f274])).
% 0.21/0.44 thf(f274,plain,(
% 0.21/0.44 $false | (~spl0_3 | ~spl0_5 | ~spl0_19)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f271])).
% 0.21/0.44 thf(f271,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_3 | ~spl0_5 | ~spl0_19)),
% 0.21/0.44 inference(superposition,[],[f262,f75])).
% 0.21/0.44 thf(f262,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD) != $true) | (~spl0_3 | ~spl0_19)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f259])).
% 0.21/0.44 thf(f259,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD) != $true) | (~spl0_3 | ~spl0_19)),
% 0.21/0.44 inference(superposition,[],[f215,f66])).
% 0.21/0.44 thf(f268,plain,(
% 0.21/0.44 ~spl0_3 | ~spl0_7 | ~spl0_21),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f267])).
% 0.21/0.44 thf(f267,plain,(
% 0.21/0.44 $false | (~spl0_3 | ~spl0_7 | ~spl0_21)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f264])).
% 0.21/0.44 thf(f264,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_3 | ~spl0_7 | ~spl0_21)),
% 0.21/0.44 inference(superposition,[],[f249,f84])).
% 0.21/0.44 thf(f249,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) != $true) | (~spl0_3 | ~spl0_21)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f246])).
% 0.21/0.44 thf(f246,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) != $true) | (~spl0_3 | ~spl0_21)),
% 0.21/0.44 inference(superposition,[],[f214,f66])).
% 0.21/0.44 thf(f214,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE))) ) | ~spl0_21),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f193])).
% 0.21/0.44 thf(f193,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cE)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC))) ) | ~spl0_21),
% 0.21/0.44 inference(superposition,[],[f24,f147])).
% 0.21/0.44 thf(f255,plain,(
% 0.21/0.44 ~spl0_3 | ~spl0_9 | ~spl0_23),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f254])).
% 0.21/0.44 thf(f254,plain,(
% 0.21/0.44 $false | (~spl0_3 | ~spl0_9 | ~spl0_23)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f251])).
% 0.21/0.44 thf(f251,plain,(
% 0.21/0.44 ($true != $true) | (~spl0_3 | ~spl0_9 | ~spl0_23)),
% 0.21/0.44 inference(superposition,[],[f243,f93])).
% 0.21/0.44 thf(f243,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) != $true) | (~spl0_3 | ~spl0_23)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f240])).
% 0.21/0.44 thf(f240,plain,(
% 0.21/0.44 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) != $true) | (~spl0_3 | ~spl0_23)),
% 0.21/0.44 inference(superposition,[],[f213,f66])).
% 0.21/0.44 thf(f213,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF))) ) | ~spl0_23),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f194])).
% 0.21/0.44 thf(f194,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cF)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),cC))) ) | ~spl0_23),
% 0.21/0.44 inference(superposition,[],[f24,f156])).
% 0.21/0.44 thf(f188,plain,(
% 0.21/0.44 spl0_29 | spl0_30),
% 0.21/0.44 inference(avatar_split_clause,[],[f23,f185,f181])).
% 0.21/0.44 thf(f23,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cE),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cE),cF) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f179,plain,(
% 0.21/0.44 spl0_27 | spl0_28),
% 0.21/0.44 inference(avatar_split_clause,[],[f22,f176,f172])).
% 0.21/0.44 thf(f22,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cF) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f170,plain,(
% 0.21/0.44 spl0_25 | spl0_26),
% 0.21/0.44 inference(avatar_split_clause,[],[f21,f167,f163])).
% 0.21/0.44 thf(f21,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cD),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cD),cE) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f161,plain,(
% 0.21/0.44 spl0_23 | spl0_24),
% 0.21/0.44 inference(avatar_split_clause,[],[f20,f158,f154])).
% 0.21/0.44 thf(f20,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cF) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f152,plain,(
% 0.21/0.44 spl0_21 | spl0_22),
% 0.21/0.44 inference(avatar_split_clause,[],[f19,f149,f145])).
% 0.21/0.44 thf(f19,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cE) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f143,plain,(
% 0.21/0.44 spl0_19 | spl0_20),
% 0.21/0.44 inference(avatar_split_clause,[],[f18,f140,f136])).
% 0.21/0.44 thf(f18,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cC),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cC),cD) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f134,plain,(
% 0.21/0.44 spl0_17 | spl0_18),
% 0.21/0.44 inference(avatar_split_clause,[],[f17,f131,f127])).
% 0.21/0.44 thf(f17,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cF) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f125,plain,(
% 0.21/0.44 spl0_15 | spl0_16),
% 0.21/0.44 inference(avatar_split_clause,[],[f16,f122,f118])).
% 0.21/0.44 thf(f16,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cE) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f116,plain,(
% 0.21/0.44 spl0_13 | spl0_14),
% 0.21/0.44 inference(avatar_split_clause,[],[f15,f113,f109])).
% 0.21/0.44 thf(f15,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cD) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f107,plain,(
% 0.21/0.44 spl0_11 | spl0_12),
% 0.21/0.44 inference(avatar_split_clause,[],[f14,f104,f100])).
% 0.21/0.44 thf(f14,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cB),cC) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cB),cC) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f98,plain,(
% 0.21/0.44 spl0_9 | spl0_10),
% 0.21/0.44 inference(avatar_split_clause,[],[f13,f95,f91])).
% 0.21/0.44 thf(f13,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cF) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cF) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f89,plain,(
% 0.21/0.44 spl0_7 | spl0_8),
% 0.21/0.44 inference(avatar_split_clause,[],[f12,f86,f82])).
% 0.21/0.44 thf(f12,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cE) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cE) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f80,plain,(
% 0.21/0.44 spl0_5 | spl0_6),
% 0.21/0.44 inference(avatar_split_clause,[],[f11,f77,f73])).
% 0.21/0.44 thf(f11,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cD) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cD) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f71,plain,(
% 0.21/0.44 spl0_3 | spl0_4),
% 0.21/0.44 inference(avatar_split_clause,[],[f10,f68,f64])).
% 0.21/0.44 thf(f10,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cC) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cC) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f62,plain,(
% 0.21/0.44 spl0_1 | spl0_2),
% 0.21/0.44 inference(avatar_split_clause,[],[f9,f59,f55])).
% 0.21/0.44 thf(f9,plain,(
% 0.21/0.44 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cG,cA),cB) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,cA),cB) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 % SZS output end Proof for theBenchmark
% 0.21/0.44 % (23202)------------------------------
% 0.21/0.44 % (23202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44 % (23202)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (23202)Memory used [KB]: 1010
% 0.21/0.44 % (23202)Time elapsed: 0.061 s
% 0.21/0.44 % (23202)Instructions burned: 108 (million)
% 0.21/0.44 % (23199)Success in time 0.079 s
%------------------------------------------------------------------------------