TSTP Solution File: PUZ031^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ031^5 : 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 : n019.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 02:29:05 EDT 2024
% Result : Theorem 1.32s 0.58s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : PUZ031^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 11:01:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (14928)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (14929)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (14931)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)
% 0.15/0.39 % (14930)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (14933)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (14932)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (14934)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (14935)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)
% 0.15/0.39 % (14931)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % (14932)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.40 % (14936)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)
% 0.15/0.40 % (14938)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)
% 0.15/0.40 % (14937)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)
% 0.15/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.41 % (14939)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)
% 0.15/0.41 % (14937)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.41 % (14938)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.41 % Exception at run slice level% Exception at run slice level
% 0.15/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.41
% 0.15/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.42 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.42 % (14940)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 1.32/0.58 % (14934)First to succeed.
% 1.32/0.58 % (14940)Also succeeded, but the first one will report.
% 1.32/0.58 % (14934)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14928"
% 1.32/0.58 % (14934)Refutation found. Thanks to Tanya!
% 1.32/0.58 % SZS status Theorem for theBenchmark
% 1.32/0.58 % SZS output start Proof for theBenchmark
% 1.32/0.58 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 1.32/0.58 thf(func_def_0, type, eats: $i > $i > $o).
% 1.32/0.58 thf(func_def_1, type, grain: $i > $o).
% 1.32/0.58 thf(func_def_2, type, animal: $i > $o).
% 1.32/0.58 thf(func_def_3, type, snail: $i > $o).
% 1.32/0.58 thf(func_def_4, type, sf: $i > $i).
% 1.32/0.58 thf(func_def_5, type, plant: $i > $o).
% 1.32/0.58 thf(func_def_6, type, caterpillar: $i > $o).
% 1.32/0.58 thf(func_def_7, type, cf: $i > $i).
% 1.32/0.58 thf(func_def_8, type, bird: $i > $o).
% 1.32/0.58 thf(func_def_9, type, wolf: $i > $o).
% 1.32/0.58 thf(func_def_10, type, fox: $i > $o).
% 1.32/0.58 thf(func_def_11, type, msmaller: $i > $i > $o).
% 1.32/0.58 thf(func_def_22, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 1.32/0.58 thf(func_def_23, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 1.32/0.58 thf(func_def_24, type, vAND: $o > $o > $o).
% 1.32/0.58 thf(func_def_25, type, vOR: $o > $o > $o).
% 1.32/0.58 thf(func_def_26, type, vIMP: $o > $o > $o).
% 1.32/0.58 thf(func_def_27, type, vNOT: $o > $o).
% 1.32/0.58 thf(func_def_28, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 1.32/0.58 thf(f6814,plain,(
% 1.32/0.58 $false),
% 1.32/0.58 inference(avatar_sat_refutation,[],[f357,f364,f371,f1603,f2943,f3460,f3596,f3866,f4800,f5896,f6009,f6033,f6773,f6812])).
% 1.32/0.58 thf(f6812,plain,(
% 1.32/0.58 ~spl0_9 | ~spl0_117),
% 1.32/0.58 inference(avatar_contradiction_clause,[],[f6811])).
% 1.32/0.58 thf(f6811,plain,(
% 1.32/0.58 $false | (~spl0_9 | ~spl0_117)),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f6810])).
% 1.32/0.58 thf(f6810,plain,(
% 1.32/0.58 ($true = $false) | (~spl0_9 | ~spl0_117)),
% 1.32/0.58 inference(forward_demodulation,[],[f6805,f2986])).
% 1.32/0.58 thf(f2986,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),vAPP($i,$i,sf,a_snail))) | ~spl0_117),
% 1.32/0.58 inference(avatar_component_clause,[],[f2984])).
% 1.32/0.58 thf(f2984,plain,(
% 1.32/0.58 spl0_117 <=> ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),vAPP($i,$i,sf,a_snail)))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_117])])).
% 1.32/0.58 thf(f6805,plain,(
% 1.32/0.58 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),vAPP($i,$i,sf,a_snail))) | ~spl0_9),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f6800])).
% 1.32/0.58 thf(f6800,plain,(
% 1.32/0.58 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),vAPP($i,$i,sf,a_snail))) | ~spl0_9),
% 1.32/0.58 inference(superposition,[],[f360,f89])).
% 1.32/0.58 thf(f89,plain,(
% 1.32/0.58 ($true = vAPP($i,$o,plant,vAPP($i,$i,sf,a_snail)))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f86])).
% 1.32/0.58 thf(f86,plain,(
% 1.32/0.58 ($true != $true) | ($true = vAPP($i,$o,plant,vAPP($i,$i,sf,a_snail)))),
% 1.32/0.58 inference(superposition,[],[f31,f17])).
% 1.32/0.58 thf(f17,plain,(
% 1.32/0.58 (vAPP($i,$o,snail,a_snail) = $true)),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f7,plain,(
% 1.32/0.58 ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1)) | ($true != vAPP($i,$o,grain,X2)) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,animal,X0) != $true)) & ! [X3] : ((vAPP($i,$o,snail,X3) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),vAPP($i,$i,sf,X3)) = $true)) & ! [X4] : (($true != vAPP($i,$o,snail,X4)) | ($true = vAPP($i,$o,plant,vAPP($i,$i,sf,X4)))) & ! [X5] : ((vAPP($i,$o,caterpillar,X5) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X5),vAPP($i,$i,cf,X5)) = $true)) & ! [X6] : (($true != vAPP($i,$o,caterpillar,X6)) | ($true = vAPP($i,$o,plant,vAPP($i,$i,cf,X6)))) & ! [X7,X8] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X8)) | ($true != vAPP($i,$o,snail,X8)) | ($true != vAPP($i,$o,bird,X7))) & ! [X9,X10] : (($true != vAPP($i,$o,caterpillar,X10)) | ($true != vAPP($i,$o,bird,X9)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X9),X10))) & ! [X11,X12] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X11),X12)) | ($true != vAPP($i,$o,grain,X12)) | ($true != vAPP($i,$o,wolf,X11))) & ! [X13,X14] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X14),X13)) | ($true != vAPP($i,$o,fox,X13)) | ($true != vAPP($i,$o,wolf,X14))) & ! [X15,X16] : (($true != vAPP($i,$o,wolf,X16)) | ($true != vAPP($i,$o,fox,X15)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X15),X16))) & ! [X17,X18] : (($true != vAPP($i,$o,fox,X18)) | ($true != vAPP($i,$o,bird,X17)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X17),X18))) & ! [X19,X20] : (($true != vAPP($i,$o,bird,X20)) | ($true != vAPP($i,$o,snail,X19)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X19),X20))) & ! [X21,X22] : (($true != vAPP($i,$o,bird,X22)) | ($true != vAPP($i,$o,caterpillar,X21)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X21),X22))) & ! [X23,X24,X25,X26] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X25),X26)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X25),X23)) | ($true != vAPP($i,$o,plant,X26)) | ($true != vAPP($i,$o,animal,X25)) | ($true != vAPP($i,$o,plant,X24)) | ($true != vAPP($i,$o,animal,X23)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X23),X25)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X23),X24))) & ! [X27] : (($true != vAPP($i,$o,grain,X27)) | ($true = vAPP($i,$o,plant,X27))) & (vAPP($i,$o,grain,a_grain) = $true) & (vAPP($i,$o,snail,a_snail) = $true) & (vAPP($i,$o,caterpillar,a_caterpillar) = $true) & (vAPP($i,$o,bird,a_bird) = $true) & (vAPP($i,$o,fox,a_fox) = $true) & (vAPP($i,$o,wolf,a_wolf) = $true) & ! [X28] : (($true != vAPP($i,$o,snail,X28)) | ($true = vAPP($i,$o,animal,X28))) & ! [X29] : (($true != vAPP($i,$o,caterpillar,X29)) | ($true = vAPP($i,$o,animal,X29))) & ! [X30] : (($true != vAPP($i,$o,bird,X30)) | ($true = vAPP($i,$o,animal,X30))) & ! [X31] : (($true != vAPP($i,$o,fox,X31)) | ($true = vAPP($i,$o,animal,X31))) & ! [X32] : (($true != vAPP($i,$o,wolf,X32)) | ($true = vAPP($i,$o,animal,X32)))),
% 1.32/0.58 inference(flattening,[],[f6])).
% 1.32/0.58 thf(f6,plain,(
% 1.32/0.58 ~~(! [X0,X1,X2] : (~(vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) = $true) | ~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1)) | ~($true = vAPP($i,$o,grain,X2)) | ~(vAPP($i,$o,animal,X1) = $true) | ~(vAPP($i,$o,animal,X0) = $true)) & ! [X3] : (~(vAPP($i,$o,snail,X3) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),vAPP($i,$i,sf,X3)) = $true)) & ! [X4] : (~($true = vAPP($i,$o,snail,X4)) | ($true = vAPP($i,$o,plant,vAPP($i,$i,sf,X4)))) & ! [X5] : (~(vAPP($i,$o,caterpillar,X5) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X5),vAPP($i,$i,cf,X5)) = $true)) & ! [X6] : (~($true = vAPP($i,$o,caterpillar,X6)) | ($true = vAPP($i,$o,plant,vAPP($i,$i,cf,X6)))) & ! [X7,X8] : (~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X8)) | ~($true = vAPP($i,$o,snail,X8)) | ~($true = vAPP($i,$o,bird,X7))) & ! [X9,X10] : (~($true = vAPP($i,$o,caterpillar,X10)) | ~($true = vAPP($i,$o,bird,X9)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X9),X10))) & ! [X11,X12] : (~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X11),X12)) | ~($true = vAPP($i,$o,grain,X12)) | ~($true = vAPP($i,$o,wolf,X11))) & ! [X13,X14] : (~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X14),X13)) | ~($true = vAPP($i,$o,fox,X13)) | ~($true = vAPP($i,$o,wolf,X14))) & ! [X15,X16] : (~($true = vAPP($i,$o,wolf,X16)) | ~($true = vAPP($i,$o,fox,X15)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X15),X16))) & ! [X17,X18] : (~($true = vAPP($i,$o,fox,X18)) | ~($true = vAPP($i,$o,bird,X17)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X17),X18))) & ! [X19,X20] : (~($true = vAPP($i,$o,bird,X20)) | ~($true = vAPP($i,$o,snail,X19)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X19),X20))) & ! [X21,X22] : (~($true = vAPP($i,$o,bird,X22)) | ~($true = vAPP($i,$o,caterpillar,X21)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X21),X22))) & ! [X23,X24,X25,X26] : (~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X25),X26)) | ~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X25),X23)) | ~($true = vAPP($i,$o,plant,X26)) | ~($true = vAPP($i,$o,animal,X25)) | ~($true = vAPP($i,$o,plant,X24)) | ~($true = vAPP($i,$o,animal,X23)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X23),X25)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X23),X24))) & ! [X27] : (~($true = vAPP($i,$o,grain,X27)) | ($true = vAPP($i,$o,plant,X27))) & (vAPP($i,$o,grain,a_grain) = $true) & (vAPP($i,$o,snail,a_snail) = $true) & (vAPP($i,$o,caterpillar,a_caterpillar) = $true) & (vAPP($i,$o,bird,a_bird) = $true) & (vAPP($i,$o,fox,a_fox) = $true) & (vAPP($i,$o,wolf,a_wolf) = $true) & ! [X28] : (~($true = vAPP($i,$o,snail,X28)) | ($true = vAPP($i,$o,animal,X28))) & ! [X29] : (~($true = vAPP($i,$o,caterpillar,X29)) | ($true = vAPP($i,$o,animal,X29))) & ! [X30] : (~($true = vAPP($i,$o,bird,X30)) | ($true = vAPP($i,$o,animal,X30))) & ! [X31] : (~($true = vAPP($i,$o,fox,X31)) | ($true = vAPP($i,$o,animal,X31))) & ! [X32] : (~($true = vAPP($i,$o,wolf,X32)) | ($true = vAPP($i,$o,animal,X32))))),
% 1.32/0.58 inference(fool_elimination,[],[f5])).
% 1.32/0.58 thf(f5,plain,(
% 1.32/0.58 ~~(! [X0,X1,X2] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1) | ~vAPP($i,$o,grain,X2) | ~vAPP($i,$o,animal,X1) | ~vAPP($i,$o,animal,X0)) & ! [X3] : (~vAPP($i,$o,snail,X3) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),vAPP($i,$i,sf,X3))) & ! [X4] : (~vAPP($i,$o,snail,X4) | vAPP($i,$o,plant,vAPP($i,$i,sf,X4))) & ! [X5] : (~vAPP($i,$o,caterpillar,X5) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X5),vAPP($i,$i,cf,X5))) & ! [X6] : (~vAPP($i,$o,caterpillar,X6) | vAPP($i,$o,plant,vAPP($i,$i,cf,X6))) & ! [X7,X8] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X8) | ~vAPP($i,$o,snail,X8) | ~vAPP($i,$o,bird,X7)) & ! [X9,X10] : (~vAPP($i,$o,caterpillar,X10) | ~vAPP($i,$o,bird,X9) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X9),X10)) & ! [X11,X12] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X11),X12) | ~vAPP($i,$o,grain,X12) | ~vAPP($i,$o,wolf,X11)) & ! [X13,X14] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X14),X13) | ~vAPP($i,$o,fox,X13) | ~vAPP($i,$o,wolf,X14)) & ! [X15,X16] : (~vAPP($i,$o,wolf,X16) | ~vAPP($i,$o,fox,X15) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X15),X16)) & ! [X17,X18] : (~vAPP($i,$o,fox,X18) | ~vAPP($i,$o,bird,X17) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X17),X18)) & ! [X19,X20] : (~vAPP($i,$o,bird,X20) | ~vAPP($i,$o,snail,X19) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X19),X20)) & ! [X21,X22] : (~vAPP($i,$o,bird,X22) | ~vAPP($i,$o,caterpillar,X21) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X21),X22)) & ! [X23,X24,X25,X26] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X25),X26) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X25),X23) | ~vAPP($i,$o,plant,X26) | ~vAPP($i,$o,animal,X25) | ~vAPP($i,$o,plant,X24) | ~vAPP($i,$o,animal,X23) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X23),X25) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X23),X24)) & ! [X27] : (~vAPP($i,$o,grain,X27) | vAPP($i,$o,plant,X27)) & vAPP($i,$o,grain,a_grain) & vAPP($i,$o,snail,a_snail) & vAPP($i,$o,caterpillar,a_caterpillar) & vAPP($i,$o,bird,a_bird) & vAPP($i,$o,fox,a_fox) & vAPP($i,$o,wolf,a_wolf) & ! [X28] : (~vAPP($i,$o,snail,X28) | vAPP($i,$o,animal,X28)) & ! [X29] : (~vAPP($i,$o,caterpillar,X29) | vAPP($i,$o,animal,X29)) & ! [X30] : (~vAPP($i,$o,bird,X30) | vAPP($i,$o,animal,X30)) & ! [X31] : (~vAPP($i,$o,fox,X31) | vAPP($i,$o,animal,X31)) & ! [X32] : (~vAPP($i,$o,wolf,X32) | vAPP($i,$o,animal,X32)))),
% 1.32/0.58 inference(rectify,[],[f2])).
% 1.32/0.58 thf(f2,negated_conjecture,(
% 1.32/0.58 ~~(! [X1,X10,X9] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X10),X9) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X10) | ~vAPP($i,$o,grain,X9) | ~vAPP($i,$o,animal,X10) | ~vAPP($i,$o,animal,X1)) & ! [X3] : (~vAPP($i,$o,snail,X3) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),vAPP($i,$i,sf,X3))) & ! [X3] : (~vAPP($i,$o,snail,X3) | vAPP($i,$o,plant,vAPP($i,$i,sf,X3))) & ! [X5] : (~vAPP($i,$o,caterpillar,X5) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X5),vAPP($i,$i,cf,X5))) & ! [X5] : (~vAPP($i,$o,caterpillar,X5) | vAPP($i,$o,plant,vAPP($i,$i,cf,X5))) & ! [X6,X3] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X6),X3) | ~vAPP($i,$o,snail,X3) | ~vAPP($i,$o,bird,X6)) & ! [X6,X5] : (~vAPP($i,$o,caterpillar,X5) | ~vAPP($i,$o,bird,X6) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X6),X5)) & ! [X8,X9] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X9) | ~vAPP($i,$o,grain,X9) | ~vAPP($i,$o,wolf,X8)) & ! [X7,X8] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X7) | ~vAPP($i,$o,fox,X7) | ~vAPP($i,$o,wolf,X8)) & ! [X7,X8] : (~vAPP($i,$o,wolf,X8) | ~vAPP($i,$o,fox,X7) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X7),X8)) & ! [X6,X7] : (~vAPP($i,$o,fox,X7) | ~vAPP($i,$o,bird,X6) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X6),X7)) & ! [X3,X6] : (~vAPP($i,$o,bird,X6) | ~vAPP($i,$o,snail,X3) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X3),X6)) & ! [X5,X6] : (~vAPP($i,$o,bird,X6) | ~vAPP($i,$o,caterpillar,X5) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X5),X6)) & ! [X1,X2,X3,X4] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),X4) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X3),X1) | ~vAPP($i,$o,plant,X4) | ~vAPP($i,$o,animal,X3) | ~vAPP($i,$o,plant,X2) | ~vAPP($i,$o,animal,X1) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2)) & ! [X0] : (~vAPP($i,$o,grain,X0) | vAPP($i,$o,plant,X0)) & vAPP($i,$o,grain,a_grain) & vAPP($i,$o,snail,a_snail) & vAPP($i,$o,caterpillar,a_caterpillar) & vAPP($i,$o,bird,a_bird) & vAPP($i,$o,fox,a_fox) & vAPP($i,$o,wolf,a_wolf) & ! [X0] : (~vAPP($i,$o,snail,X0) | vAPP($i,$o,animal,X0)) & ! [X0] : (~vAPP($i,$o,caterpillar,X0) | vAPP($i,$o,animal,X0)) & ! [X0] : (~vAPP($i,$o,bird,X0) | vAPP($i,$o,animal,X0)) & ! [X0] : (~vAPP($i,$o,fox,X0) | vAPP($i,$o,animal,X0)) & ! [X0] : (~vAPP($i,$o,wolf,X0) | vAPP($i,$o,animal,X0)))),
% 1.32/0.58 inference(negated_conjecture,[],[f1])).
% 1.32/0.58 thf(f1,conjecture,(
% 1.32/0.58 ~(! [X1,X10,X9] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X10),X9) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X10) | ~vAPP($i,$o,grain,X9) | ~vAPP($i,$o,animal,X10) | ~vAPP($i,$o,animal,X1)) & ! [X3] : (~vAPP($i,$o,snail,X3) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),vAPP($i,$i,sf,X3))) & ! [X3] : (~vAPP($i,$o,snail,X3) | vAPP($i,$o,plant,vAPP($i,$i,sf,X3))) & ! [X5] : (~vAPP($i,$o,caterpillar,X5) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X5),vAPP($i,$i,cf,X5))) & ! [X5] : (~vAPP($i,$o,caterpillar,X5) | vAPP($i,$o,plant,vAPP($i,$i,cf,X5))) & ! [X6,X3] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X6),X3) | ~vAPP($i,$o,snail,X3) | ~vAPP($i,$o,bird,X6)) & ! [X6,X5] : (~vAPP($i,$o,caterpillar,X5) | ~vAPP($i,$o,bird,X6) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X6),X5)) & ! [X8,X9] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X9) | ~vAPP($i,$o,grain,X9) | ~vAPP($i,$o,wolf,X8)) & ! [X7,X8] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X7) | ~vAPP($i,$o,fox,X7) | ~vAPP($i,$o,wolf,X8)) & ! [X7,X8] : (~vAPP($i,$o,wolf,X8) | ~vAPP($i,$o,fox,X7) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X7),X8)) & ! [X6,X7] : (~vAPP($i,$o,fox,X7) | ~vAPP($i,$o,bird,X6) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X6),X7)) & ! [X3,X6] : (~vAPP($i,$o,bird,X6) | ~vAPP($i,$o,snail,X3) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X3),X6)) & ! [X5,X6] : (~vAPP($i,$o,bird,X6) | ~vAPP($i,$o,caterpillar,X5) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X5),X6)) & ! [X1,X2,X3,X4] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),X4) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X3),X1) | ~vAPP($i,$o,plant,X4) | ~vAPP($i,$o,animal,X3) | ~vAPP($i,$o,plant,X2) | ~vAPP($i,$o,animal,X1) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2)) & ! [X0] : (~vAPP($i,$o,grain,X0) | vAPP($i,$o,plant,X0)) & vAPP($i,$o,grain,a_grain) & vAPP($i,$o,snail,a_snail) & vAPP($i,$o,caterpillar,a_caterpillar) & vAPP($i,$o,bird,a_bird) & vAPP($i,$o,fox,a_fox) & vAPP($i,$o,wolf,a_wolf) & ! [X0] : (~vAPP($i,$o,snail,X0) | vAPP($i,$o,animal,X0)) & ! [X0] : (~vAPP($i,$o,caterpillar,X0) | vAPP($i,$o,animal,X0)) & ! [X0] : (~vAPP($i,$o,bird,X0) | vAPP($i,$o,animal,X0)) & ! [X0] : (~vAPP($i,$o,fox,X0) | vAPP($i,$o,animal,X0)) & ! [X0] : (~vAPP($i,$o,wolf,X0) | vAPP($i,$o,animal,X0)))),
% 1.32/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPUZ031_1)).
% 1.32/0.58 thf(f31,plain,(
% 1.32/0.58 ( ! [X4 : $i] : (($true != vAPP($i,$o,snail,X4)) | ($true = vAPP($i,$o,plant,vAPP($i,$i,sf,X4)))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f360,plain,(
% 1.32/0.58 ( ! [X2 : $i] : ((vAPP($i,$o,plant,X2) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X2))) ) | ~spl0_9),
% 1.32/0.58 inference(avatar_component_clause,[],[f359])).
% 1.32/0.58 thf(f359,plain,(
% 1.32/0.58 spl0_9 <=> ! [X2] : ((vAPP($i,$o,plant,X2) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X2)))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 1.32/0.58 thf(f6773,plain,(
% 1.32/0.58 spl0_164 | ~spl0_114),
% 1.32/0.58 inference(avatar_split_clause,[],[f6772,f2777,f4767])).
% 1.32/0.58 thf(f4767,plain,(
% 1.32/0.58 spl0_164 <=> ! [X0] : (vAPP($i,$o,snail,X0) = $false)),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_164])])).
% 1.32/0.58 thf(f2777,plain,(
% 1.32/0.58 spl0_114 <=> ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),vAPP($i,$i,sf,a_snail)))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_114])])).
% 1.32/0.58 thf(f6772,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,snail,X0) = $false)) ) | ~spl0_114),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f6771])).
% 1.32/0.58 thf(f6771,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true = $false) | (vAPP($i,$o,snail,X0) = $false)) ) | ~spl0_114),
% 1.32/0.58 inference(forward_demodulation,[],[f6770,f2779])).
% 1.32/0.58 thf(f2779,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),vAPP($i,$i,sf,a_snail))) | ~spl0_114),
% 1.32/0.58 inference(avatar_component_clause,[],[f2777])).
% 1.32/0.58 thf(f6770,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),vAPP($i,$i,sf,a_snail))) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(subsumption_resolution,[],[f6769,f235])).
% 1.32/0.58 thf(f235,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_bird)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f231])).
% 1.32/0.58 thf(f231,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_bird)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(superposition,[],[f125,f15])).
% 1.32/0.58 thf(f15,plain,(
% 1.32/0.58 (vAPP($i,$o,bird,a_bird) = $true)),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f125,plain,(
% 1.32/0.58 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,bird,X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X1)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f124])).
% 1.32/0.58 thf(f124,plain,(
% 1.32/0.58 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != vAPP($i,$o,bird,X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X1)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(superposition,[],[f22,f4])).
% 1.32/0.58 thf(f4,plain,(
% 1.32/0.58 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 1.32/0.58 introduced(fool_axiom,[])).
% 1.32/0.58 thf(f22,plain,(
% 1.32/0.58 ( ! [X19 : $i,X20 : $i] : (($true != vAPP($i,$o,snail,X19)) | ($true != vAPP($i,$o,bird,X20)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X19),X20))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f6769,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),vAPP($i,$i,sf,a_snail))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_bird)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(subsumption_resolution,[],[f6766,f218])).
% 1.32/0.58 thf(f218,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f217])).
% 1.32/0.58 thf(f217,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(superposition,[],[f175,f4])).
% 1.32/0.58 thf(f175,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,snail,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0))) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f171])).
% 1.32/0.58 thf(f171,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,snail,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0))) )),
% 1.32/0.58 inference(superposition,[],[f28,f15])).
% 1.32/0.58 thf(f28,plain,(
% 1.32/0.58 ( ! [X8 : $i,X7 : $i] : (($true != vAPP($i,$o,bird,X7)) | ($true != vAPP($i,$o,snail,X8)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X8))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f6766,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),vAPP($i,$i,sf,a_snail))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_bird)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f6757])).
% 1.32/0.58 thf(f6757,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),vAPP($i,$i,sf,a_snail))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_bird)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(superposition,[],[f1533,f73])).
% 1.32/0.58 thf(f73,plain,(
% 1.32/0.58 ($true = vAPP($i,$o,animal,a_bird))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f70])).
% 1.32/0.58 thf(f70,plain,(
% 1.32/0.58 ($true != $true) | ($true = vAPP($i,$o,animal,a_bird))),
% 1.32/0.58 inference(superposition,[],[f10,f15])).
% 1.32/0.58 thf(f10,plain,(
% 1.32/0.58 ( ! [X30 : $i] : (($true != vAPP($i,$o,bird,X30)) | ($true = vAPP($i,$o,animal,X30))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f1533,plain,(
% 1.32/0.58 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,animal,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),vAPP($i,$i,sf,a_snail))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),X0)) | ($false = vAPP($i,$o,snail,X1))) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f1527])).
% 1.32/0.58 thf(f1527,plain,(
% 1.32/0.58 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (vAPP($i,$o,animal,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),vAPP($i,$i,sf,a_snail))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),X0)) | ($false = vAPP($i,$o,snail,X1))) )),
% 1.32/0.58 inference(superposition,[],[f317,f89])).
% 1.32/0.58 thf(f317,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,plant,X1)) | ($true != vAPP($i,$o,animal,X2)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X2)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f316])).
% 1.32/0.58 thf(f316,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true != vAPP($i,$o,plant,X1)) | ($true != vAPP($i,$o,animal,X2)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X2)) | (vAPP($i,$o,snail,X0) = $false)) )),
% 1.32/0.58 inference(superposition,[],[f196,f4])).
% 1.32/0.58 thf(f196,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,snail,X0) != $true) | (vAPP($i,$o,plant,X2) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) = $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X1))) )),
% 1.32/0.58 inference(subsumption_resolution,[],[f195,f31])).
% 1.32/0.58 thf(f195,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X1)) | ($true != vAPP($i,$o,plant,vAPP($i,$i,sf,X0))) | (vAPP($i,$o,plant,X2) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) = $true) | (vAPP($i,$o,snail,X0) != $true)) )),
% 1.32/0.58 inference(subsumption_resolution,[],[f191,f12])).
% 1.32/0.58 thf(f12,plain,(
% 1.32/0.58 ( ! [X28 : $i] : (($true != vAPP($i,$o,snail,X28)) | ($true = vAPP($i,$o,animal,X28))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f191,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X1)) | ($true != vAPP($i,$o,plant,vAPP($i,$i,sf,X0))) | (vAPP($i,$o,animal,X0) != $true) | (vAPP($i,$o,plant,X2) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) = $true) | (vAPP($i,$o,snail,X0) != $true)) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f188])).
% 1.32/0.58 thf(f188,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X1)) | ($true != vAPP($i,$o,plant,vAPP($i,$i,sf,X0))) | (vAPP($i,$o,animal,X0) != $true) | (vAPP($i,$o,plant,X2) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) = $true) | (vAPP($i,$o,snail,X0) != $true)) )),
% 1.32/0.58 inference(superposition,[],[f20,f32])).
% 1.32/0.58 thf(f32,plain,(
% 1.32/0.58 ( ! [X3 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),vAPP($i,$i,sf,X3)) = $true) | (vAPP($i,$o,snail,X3) != $true)) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f20,plain,(
% 1.32/0.58 ( ! [X26 : $i,X24 : $i,X25 : $i,X23 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X25),X26)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X25),X23)) | ($true != vAPP($i,$o,plant,X26)) | ($true != vAPP($i,$o,animal,X25)) | ($true != vAPP($i,$o,plant,X24)) | ($true != vAPP($i,$o,animal,X23)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X23),X25)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X23),X24))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f6033,plain,(
% 1.32/0.58 spl0_61 | spl0_114 | ~spl0_10),
% 1.32/0.58 inference(avatar_split_clause,[],[f6032,f362,f2777,f2051])).
% 1.32/0.58 thf(f2051,plain,(
% 1.32/0.58 spl0_61 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_61])])).
% 1.32/0.58 thf(f362,plain,(
% 1.32/0.58 spl0_10 <=> ! [X0,X1] : ((vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_fox)))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 1.32/0.58 thf(f6032,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird)) | ~spl0_10),
% 1.32/0.58 inference(subsumption_resolution,[],[f3109,f165])).
% 1.32/0.58 thf(f165,plain,(
% 1.32/0.58 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_bird),a_fox))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f161])).
% 1.32/0.58 thf(f161,plain,(
% 1.32/0.58 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_bird),a_fox))),
% 1.32/0.58 inference(superposition,[],[f141,f15])).
% 1.32/0.58 thf(f141,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,bird,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_fox))) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f137])).
% 1.32/0.58 thf(f137,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,bird,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_fox))) )),
% 1.32/0.58 inference(superposition,[],[f23,f14])).
% 1.32/0.58 thf(f14,plain,(
% 1.32/0.58 (vAPP($i,$o,fox,a_fox) = $true)),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f23,plain,(
% 1.32/0.58 ( ! [X18 : $i,X17 : $i] : (($true != vAPP($i,$o,fox,X18)) | ($true != vAPP($i,$o,bird,X17)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X17),X18))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f3109,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_bird),a_fox)) | ~spl0_10),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f3100])).
% 1.32/0.58 thf(f3100,plain,(
% 1.32/0.58 ($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_bird),a_fox)) | ~spl0_10),
% 1.32/0.58 inference(superposition,[],[f1451,f73])).
% 1.32/0.58 thf(f1451,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,animal,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_fox))) ) | ~spl0_10),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f1445])).
% 1.32/0.58 thf(f1445,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,animal,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_fox))) ) | ~spl0_10),
% 1.32/0.58 inference(superposition,[],[f363,f89])).
% 1.32/0.58 thf(f363,plain,(
% 1.32/0.58 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_fox))) ) | ~spl0_10),
% 1.32/0.58 inference(avatar_component_clause,[],[f362])).
% 1.32/0.58 thf(f6009,plain,(
% 1.32/0.58 ~spl0_61 | ~spl0_15),
% 1.32/0.58 inference(avatar_split_clause,[],[f5995,f399,f2051])).
% 1.32/0.58 thf(f399,plain,(
% 1.32/0.58 spl0_15 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_bird)) | (vAPP($i,$o,animal,X0) != $true))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 1.32/0.58 thf(f5995,plain,(
% 1.32/0.58 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird)) | ~spl0_15),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f5988])).
% 1.32/0.58 thf(f5988,plain,(
% 1.32/0.58 ($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird)) | ~spl0_15),
% 1.32/0.58 inference(superposition,[],[f400,f69])).
% 1.32/0.58 thf(f69,plain,(
% 1.32/0.58 ($true = vAPP($i,$o,animal,a_fox))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f66])).
% 1.32/0.58 thf(f66,plain,(
% 1.32/0.58 ($true != $true) | ($true = vAPP($i,$o,animal,a_fox))),
% 1.32/0.58 inference(superposition,[],[f9,f14])).
% 1.32/0.58 thf(f9,plain,(
% 1.32/0.58 ( ! [X31 : $i] : (($true != vAPP($i,$o,fox,X31)) | ($true = vAPP($i,$o,animal,X31))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f400,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,animal,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_bird))) ) | ~spl0_15),
% 1.32/0.58 inference(avatar_component_clause,[],[f399])).
% 1.32/0.58 thf(f5896,plain,(
% 1.32/0.58 ~spl0_120),
% 1.32/0.58 inference(avatar_contradiction_clause,[],[f5895])).
% 1.32/0.58 thf(f5895,plain,(
% 1.32/0.58 $false | ~spl0_120),
% 1.32/0.58 inference(subsumption_resolution,[],[f5887,f17])).
% 1.32/0.58 thf(f5887,plain,(
% 1.32/0.58 (vAPP($i,$o,snail,a_snail) != $true) | ~spl0_120),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f5878])).
% 1.32/0.58 thf(f5878,plain,(
% 1.32/0.58 ($true = $false) | (vAPP($i,$o,snail,a_snail) != $true) | ~spl0_120),
% 1.32/0.58 inference(superposition,[],[f32,f3116])).
% 1.32/0.58 thf(f3116,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),vAPP($i,$i,sf,a_snail))) | ~spl0_120),
% 1.32/0.58 inference(avatar_component_clause,[],[f3114])).
% 1.32/0.58 thf(f3114,plain,(
% 1.32/0.58 spl0_120 <=> ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),vAPP($i,$i,sf,a_snail)))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_120])])).
% 1.32/0.58 thf(f4800,plain,(
% 1.32/0.58 ~spl0_164),
% 1.32/0.58 inference(avatar_contradiction_clause,[],[f4799])).
% 1.32/0.58 thf(f4799,plain,(
% 1.32/0.58 $false | ~spl0_164),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f4796])).
% 1.32/0.58 thf(f4796,plain,(
% 1.32/0.58 ($true = $false) | ~spl0_164),
% 1.32/0.58 inference(backward_demodulation,[],[f17,f4768])).
% 1.32/0.58 thf(f4768,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,snail,X0) = $false)) ) | ~spl0_164),
% 1.32/0.58 inference(avatar_component_clause,[],[f4767])).
% 1.32/0.58 thf(f3866,plain,(
% 1.32/0.58 spl0_117 | ~spl0_12),
% 1.32/0.58 inference(avatar_split_clause,[],[f3865,f369,f2984])).
% 1.32/0.58 thf(f369,plain,(
% 1.32/0.58 spl0_12 <=> ! [X0,X1] : ((vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_wolf)))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 1.32/0.58 thf(f3865,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),vAPP($i,$i,sf,a_snail))) | ~spl0_12),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f3864])).
% 1.32/0.58 thf(f3864,plain,(
% 1.32/0.58 ($true = $false) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),vAPP($i,$i,sf,a_snail))) | ~spl0_12),
% 1.32/0.58 inference(forward_demodulation,[],[f3863,f285])).
% 1.32/0.58 thf(f285,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),a_fox))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f281])).
% 1.32/0.58 thf(f281,plain,(
% 1.32/0.58 ($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),a_fox))),
% 1.32/0.58 inference(superposition,[],[f186,f13])).
% 1.32/0.58 thf(f13,plain,(
% 1.32/0.58 (vAPP($i,$o,wolf,a_wolf) = $true)),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f186,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,wolf,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_fox))) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f185])).
% 1.32/0.58 thf(f185,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,wolf,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_fox))) )),
% 1.32/0.58 inference(superposition,[],[f156,f4])).
% 1.32/0.58 thf(f156,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_fox)) | (vAPP($i,$o,wolf,X0) != $true)) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f152])).
% 1.32/0.58 thf(f152,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_fox)) | (vAPP($i,$o,wolf,X0) != $true)) )),
% 1.32/0.58 inference(superposition,[],[f25,f14])).
% 1.32/0.58 thf(f25,plain,(
% 1.32/0.58 ( ! [X14 : $i,X13 : $i] : (($true != vAPP($i,$o,fox,X13)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X14),X13)) | ($true != vAPP($i,$o,wolf,X14))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f3863,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),a_fox)) | ~spl0_12),
% 1.32/0.58 inference(subsumption_resolution,[],[f3853,f180])).
% 1.32/0.58 thf(f180,plain,(
% 1.32/0.58 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_fox),a_wolf))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f176])).
% 1.32/0.58 thf(f176,plain,(
% 1.32/0.58 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_fox),a_wolf))),
% 1.32/0.58 inference(superposition,[],[f146,f13])).
% 1.32/0.58 thf(f146,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,wolf,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_fox),X0))) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f142])).
% 1.32/0.58 thf(f142,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,wolf,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_fox),X0))) )),
% 1.32/0.58 inference(superposition,[],[f24,f14])).
% 1.32/0.58 thf(f24,plain,(
% 1.32/0.58 ( ! [X16 : $i,X15 : $i] : (($true != vAPP($i,$o,fox,X15)) | ($true != vAPP($i,$o,wolf,X16)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X15),X16))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f3853,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),a_fox)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_fox),a_wolf)) | ~spl0_12),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f3846])).
% 1.32/0.58 thf(f3846,plain,(
% 1.32/0.58 ($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),a_fox)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_fox),a_wolf)) | ~spl0_12),
% 1.32/0.58 inference(superposition,[],[f3511,f69])).
% 1.32/0.58 thf(f3511,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,animal,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_wolf))) ) | ~spl0_12),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f3506])).
% 1.32/0.58 thf(f3506,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,animal,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_wolf))) ) | ~spl0_12),
% 1.32/0.58 inference(superposition,[],[f370,f89])).
% 1.32/0.58 thf(f370,plain,(
% 1.32/0.58 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_wolf))) ) | ~spl0_12),
% 1.32/0.58 inference(avatar_component_clause,[],[f369])).
% 1.32/0.58 thf(f3596,plain,(
% 1.32/0.58 spl0_120 | ~spl0_8),
% 1.32/0.58 inference(avatar_split_clause,[],[f3595,f355,f3114])).
% 1.32/0.58 thf(f355,plain,(
% 1.32/0.58 spl0_8 <=> ! [X0,X1] : ((vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_bird)))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 1.32/0.58 thf(f3595,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),vAPP($i,$i,sf,a_snail))) | ~spl0_8),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f3594])).
% 1.32/0.58 thf(f3594,plain,(
% 1.32/0.58 ($true = $false) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),vAPP($i,$i,sf,a_snail))) | ~spl0_8),
% 1.32/0.58 inference(forward_demodulation,[],[f3593,f259])).
% 1.32/0.58 thf(f259,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f258])).
% 1.32/0.58 thf(f258,plain,(
% 1.32/0.58 ($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail))),
% 1.32/0.58 inference(superposition,[],[f219,f4])).
% 1.32/0.58 thf(f219,plain,(
% 1.32/0.58 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f215])).
% 1.32/0.58 thf(f215,plain,(
% 1.32/0.58 ($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail))),
% 1.32/0.58 inference(superposition,[],[f175,f17])).
% 1.32/0.58 thf(f3593,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail)) | ~spl0_8),
% 1.32/0.58 inference(subsumption_resolution,[],[f3592,f151])).
% 1.32/0.58 thf(f151,plain,(
% 1.32/0.58 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_snail),a_bird))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f147])).
% 1.32/0.58 thf(f147,plain,(
% 1.32/0.58 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_snail),a_bird))),
% 1.32/0.58 inference(superposition,[],[f126,f15])).
% 1.32/0.58 thf(f126,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,bird,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_snail),X0))) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f123])).
% 1.32/0.58 thf(f123,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,bird,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_snail),X0))) )),
% 1.32/0.58 inference(superposition,[],[f22,f17])).
% 1.32/0.58 thf(f3592,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_snail),a_bird)) | ~spl0_8),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f3579])).
% 1.32/0.58 thf(f3579,plain,(
% 1.32/0.58 ($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_snail),a_bird)) | ~spl0_8),
% 1.32/0.58 inference(superposition,[],[f1649,f81])).
% 1.32/0.58 thf(f81,plain,(
% 1.32/0.58 ($true = vAPP($i,$o,animal,a_snail))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f78])).
% 1.32/0.58 thf(f78,plain,(
% 1.32/0.58 ($true != $true) | ($true = vAPP($i,$o,animal,a_snail))),
% 1.32/0.58 inference(superposition,[],[f12,f17])).
% 1.32/0.58 thf(f1649,plain,(
% 1.32/0.58 ( ! [X0 : $i] : ((vAPP($i,$o,animal,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_bird))) ) | ~spl0_8),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f1643])).
% 1.32/0.58 thf(f1643,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,animal,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),vAPP($i,$i,sf,a_snail))) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_bird))) ) | ~spl0_8),
% 1.32/0.58 inference(superposition,[],[f356,f89])).
% 1.32/0.58 thf(f356,plain,(
% 1.32/0.58 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_bird))) ) | ~spl0_8),
% 1.32/0.58 inference(avatar_component_clause,[],[f355])).
% 1.32/0.58 thf(f3460,plain,(
% 1.32/0.58 ~spl0_11 | spl0_49),
% 1.32/0.58 inference(avatar_contradiction_clause,[],[f3459])).
% 1.32/0.58 thf(f3459,plain,(
% 1.32/0.58 $false | (~spl0_11 | spl0_49)),
% 1.32/0.58 inference(subsumption_resolution,[],[f3458,f1601])).
% 1.32/0.58 thf(f1601,plain,(
% 1.32/0.58 ($false != vAPP($i,$o,plant,a_grain)) | spl0_49),
% 1.32/0.58 inference(avatar_component_clause,[],[f1600])).
% 1.32/0.58 thf(f1600,plain,(
% 1.32/0.58 spl0_49 <=> ($false = vAPP($i,$o,plant,a_grain))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_49])])).
% 1.32/0.58 thf(f3458,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,plant,a_grain)) | ~spl0_11),
% 1.32/0.58 inference(subsumption_resolution,[],[f3383,f13])).
% 1.32/0.58 thf(f3383,plain,(
% 1.32/0.58 (vAPP($i,$o,wolf,a_wolf) != $true) | ($false = vAPP($i,$o,plant,a_grain)) | ~spl0_11),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f3374])).
% 1.32/0.58 thf(f3374,plain,(
% 1.32/0.58 ($true != $true) | (vAPP($i,$o,wolf,a_wolf) != $true) | ($false = vAPP($i,$o,plant,a_grain)) | ~spl0_11),
% 1.32/0.58 inference(superposition,[],[f160,f3324])).
% 1.32/0.58 thf(f3324,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X0)) | (vAPP($i,$o,plant,X0) = $false)) ) | ~spl0_11),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f3323])).
% 1.32/0.58 thf(f3323,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X0)) | (vAPP($i,$o,plant,X0) = $false)) ) | ~spl0_11),
% 1.32/0.58 inference(superposition,[],[f367,f4])).
% 1.32/0.58 thf(f367,plain,(
% 1.32/0.58 ( ! [X2 : $i] : ((vAPP($i,$o,plant,X2) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X2))) ) | ~spl0_11),
% 1.32/0.58 inference(avatar_component_clause,[],[f366])).
% 1.32/0.58 thf(f366,plain,(
% 1.32/0.58 spl0_11 <=> ! [X2] : ((vAPP($i,$o,plant,X2) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X2)))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 1.32/0.58 thf(f160,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_grain)) | (vAPP($i,$o,wolf,X0) != $true)) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f157])).
% 1.32/0.58 thf(f157,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_grain)) | (vAPP($i,$o,wolf,X0) != $true)) )),
% 1.32/0.58 inference(superposition,[],[f26,f18])).
% 1.32/0.58 thf(f18,plain,(
% 1.32/0.58 (vAPP($i,$o,grain,a_grain) = $true)),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f26,plain,(
% 1.32/0.58 ( ! [X11 : $i,X12 : $i] : (($true != vAPP($i,$o,grain,X12)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X11),X12)) | ($true != vAPP($i,$o,wolf,X11))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f2943,plain,(
% 1.32/0.58 ~spl0_49),
% 1.32/0.58 inference(avatar_contradiction_clause,[],[f2942])).
% 1.32/0.58 thf(f2942,plain,(
% 1.32/0.58 $false | ~spl0_49),
% 1.32/0.58 inference(subsumption_resolution,[],[f2937,f18])).
% 1.32/0.58 thf(f2937,plain,(
% 1.32/0.58 (vAPP($i,$o,grain,a_grain) != $true) | ~spl0_49),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f2925])).
% 1.32/0.58 thf(f2925,plain,(
% 1.32/0.58 ($true = $false) | (vAPP($i,$o,grain,a_grain) != $true) | ~spl0_49),
% 1.32/0.58 inference(superposition,[],[f19,f1602])).
% 1.32/0.58 thf(f1602,plain,(
% 1.32/0.58 ($false = vAPP($i,$o,plant,a_grain)) | ~spl0_49),
% 1.32/0.58 inference(avatar_component_clause,[],[f1600])).
% 1.32/0.58 thf(f19,plain,(
% 1.32/0.58 ( ! [X27 : $i] : (($true = vAPP($i,$o,plant,X27)) | ($true != vAPP($i,$o,grain,X27))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f1603,plain,(
% 1.32/0.58 spl0_49 | spl0_15 | ~spl0_7),
% 1.32/0.58 inference(avatar_split_clause,[],[f1598,f352,f399,f1600])).
% 1.32/0.58 thf(f352,plain,(
% 1.32/0.58 spl0_7 <=> ! [X2] : ((vAPP($i,$o,plant,X2) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X2)))),
% 1.32/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 1.32/0.58 thf(f1598,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_bird)) | (vAPP($i,$o,animal,X0) != $true) | ($false = vAPP($i,$o,plant,a_grain))) ) | ~spl0_7),
% 1.32/0.58 inference(subsumption_resolution,[],[f1562,f73])).
% 1.32/0.58 thf(f1562,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_bird)) | ($true != vAPP($i,$o,animal,a_bird)) | (vAPP($i,$o,animal,X0) != $true) | ($false = vAPP($i,$o,plant,a_grain))) ) | ~spl0_7),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f1551])).
% 1.32/0.58 thf(f1551,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_bird)) | ($true != vAPP($i,$o,animal,a_bird)) | (vAPP($i,$o,animal,X0) != $true) | ($false = vAPP($i,$o,plant,a_grain))) ) | ~spl0_7),
% 1.32/0.58 inference(superposition,[],[f184,f785])).
% 1.32/0.58 thf(f785,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | (vAPP($i,$o,plant,X0) = $false)) ) | ~spl0_7),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f784])).
% 1.32/0.58 thf(f784,plain,(
% 1.32/0.58 ( ! [X0 : $i] : (($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | (vAPP($i,$o,plant,X0) = $false)) ) | ~spl0_7),
% 1.32/0.58 inference(superposition,[],[f353,f4])).
% 1.32/0.58 thf(f353,plain,(
% 1.32/0.58 ( ! [X2 : $i] : ((vAPP($i,$o,plant,X2) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X2))) ) | ~spl0_7),
% 1.32/0.58 inference(avatar_component_clause,[],[f352])).
% 1.32/0.58 thf(f184,plain,(
% 1.32/0.58 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),a_grain)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1)) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,animal,X0) != $true)) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f181])).
% 1.32/0.58 thf(f181,plain,(
% 1.32/0.58 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),a_grain)) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,animal,X0) != $true)) )),
% 1.32/0.58 inference(superposition,[],[f33,f18])).
% 1.32/0.58 thf(f33,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,grain,X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) != $true) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,animal,X0) != $true)) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f371,plain,(
% 1.32/0.58 spl0_11 | spl0_12),
% 1.32/0.58 inference(avatar_split_clause,[],[f332,f369,f366])).
% 1.32/0.58 thf(f332,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,plant,X2) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_wolf)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X2)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0))) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f329])).
% 1.32/0.58 thf(f329,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | (vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,plant,X2) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_wolf)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X2)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0))) )),
% 1.32/0.58 inference(superposition,[],[f190,f65])).
% 1.32/0.58 thf(f65,plain,(
% 1.32/0.58 ($true = vAPP($i,$o,animal,a_wolf))),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f62])).
% 1.32/0.58 thf(f62,plain,(
% 1.32/0.58 ($true != $true) | ($true = vAPP($i,$o,animal,a_wolf))),
% 1.32/0.58 inference(superposition,[],[f8,f13])).
% 1.32/0.58 thf(f8,plain,(
% 1.32/0.58 ( ! [X32 : $i] : (($true != vAPP($i,$o,wolf,X32)) | ($true = vAPP($i,$o,animal,X32))) )),
% 1.32/0.58 inference(cnf_transformation,[],[f7])).
% 1.32/0.58 thf(f190,plain,(
% 1.32/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,animal,X2)) | ($true != vAPP($i,$o,plant,X1)) | (vAPP($i,$o,animal,X0) != $true) | ($true != vAPP($i,$o,plant,X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X2)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X3)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1))) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f189])).
% 1.32/0.58 thf(f189,plain,(
% 1.32/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X2)) | ($true != vAPP($i,$o,plant,X1)) | (vAPP($i,$o,animal,X0) != $true) | ($true != vAPP($i,$o,plant,X3)) | ($true != vAPP($i,$o,animal,X2)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X3)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1))) )),
% 1.32/0.58 inference(superposition,[],[f20,f4])).
% 1.32/0.58 thf(f364,plain,(
% 1.32/0.58 spl0_9 | spl0_10),
% 1.32/0.58 inference(avatar_split_clause,[],[f333,f362,f359])).
% 1.32/0.58 thf(f333,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,plant,X2) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_fox)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X2)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0))) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f328])).
% 1.32/0.58 thf(f328,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | (vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,plant,X2) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_fox)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X2)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0))) )),
% 1.32/0.58 inference(superposition,[],[f190,f69])).
% 1.32/0.58 thf(f357,plain,(
% 1.32/0.58 spl0_7 | spl0_8),
% 1.32/0.58 inference(avatar_split_clause,[],[f334,f355,f352])).
% 1.32/0.58 thf(f334,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,plant,X2) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_bird)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X2)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0))) )),
% 1.32/0.58 inference(trivial_inequality_removal,[],[f327])).
% 1.32/0.58 thf(f327,plain,(
% 1.32/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | (vAPP($i,$o,plant,X0) != $true) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,plant,X2) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X1),a_bird)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X2)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0))) )),
% 1.32/0.58 inference(superposition,[],[f190,f73])).
% 1.32/0.58 % SZS output end Proof for theBenchmark
% 1.32/0.58 % (14934)------------------------------
% 1.32/0.58 % (14934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.58 % (14934)Termination reason: Refutation
% 1.32/0.58
% 1.32/0.58 % (14934)Memory used [KB]: 2232
% 1.32/0.58 % (14934)Time elapsed: 0.194 s
% 1.32/0.58 % (14934)Instructions burned: 469 (million)
% 1.32/0.58 % (14928)Success in time 0.196 s
%------------------------------------------------------------------------------