TSTP Solution File: SYO314^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO314^5 : 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 : n006.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 09:10:54 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYO314^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n006.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 09:23:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (30722)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (30728)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (30729)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 % (30723)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (30724)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: % (30725)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 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (30726)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 % (30727)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (30725)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% (30726)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 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
% 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
% 0.14/0.38 % (30728)First to succeed.
% 0.14/0.38 % (30725)Also succeeded, but the first one will report.
% 0.14/0.39 % (30728)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30722"
% 0.14/0.39 % (30728)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% 0.14/0.39 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.14/0.39 thf(func_def_4, type, sK0: $i > $o).
% 0.14/0.39 thf(func_def_5, type, sK1: $i > $o).
% 0.14/0.39 thf(func_def_8, type, sK4: $i > $o).
% 0.14/0.39 thf(func_def_9, type, sK5: $i > $o).
% 0.14/0.39 thf(func_def_13, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.14/0.39 thf(func_def_14, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.39 thf(func_def_15, type, vAND: $o > $o > $o).
% 0.14/0.39 thf(func_def_16, type, vOR: $o > $o > $o).
% 0.14/0.39 thf(func_def_17, type, vIMP: $o > $o > $o).
% 0.14/0.39 thf(func_def_18, type, vNOT: $o > $o).
% 0.14/0.39 thf(func_def_19, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.39 thf(f333,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(avatar_sat_refutation,[],[f34,f43,f48,f53,f58,f63,f64,f65,f66,f71,f72,f73,f74,f79,f80,f81,f82,f205,f293,f329])).
% 0.14/0.39 thf(f329,plain,(
% 0.14/0.39 spl8_3 | ~spl8_7 | ~spl8_14),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f328])).
% 0.14/0.39 thf(f328,plain,(
% 0.14/0.39 $false | (spl8_3 | ~spl8_7 | ~spl8_14)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f327])).
% 0.14/0.39 thf(f327,plain,(
% 0.14/0.39 ($true = $false) | (spl8_3 | ~spl8_7 | ~spl8_14)),
% 0.14/0.39 inference(forward_demodulation,[],[f324,f143])).
% 0.14/0.39 thf(f143,plain,(
% 0.14/0.39 ($false = vAPP($i,$o,sK0,sK3)) | spl8_3),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f142])).
% 0.14/0.39 thf(f142,plain,(
% 0.14/0.39 ($true != $true) | ($false = vAPP($i,$o,sK0,sK3)) | spl8_3),
% 0.14/0.39 inference(superposition,[],[f42,f4])).
% 0.14/0.39 thf(f4,plain,(
% 0.14/0.39 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.14/0.39 introduced(fool_axiom,[])).
% 0.14/0.39 thf(f42,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK0,sK3)) | spl8_3),
% 0.14/0.39 inference(avatar_component_clause,[],[f40])).
% 0.14/0.39 thf(f40,plain,(
% 0.14/0.39 spl8_3 <=> ($true = vAPP($i,$o,sK0,sK3))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])).
% 0.14/0.39 thf(f324,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK0,sK3)) | (~spl8_7 | ~spl8_14)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f309])).
% 0.14/0.39 thf(f309,plain,(
% 0.14/0.39 ($true != $true) | ($true = vAPP($i,$o,sK0,sK3)) | (~spl8_7 | ~spl8_14)),
% 0.14/0.39 inference(superposition,[],[f165,f62])).
% 0.14/0.39 thf(f62,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK0,sK2)) | ~spl8_7),
% 0.14/0.39 inference(avatar_component_clause,[],[f60])).
% 0.14/0.39 thf(f60,plain,(
% 0.14/0.39 spl8_7 <=> ($true = vAPP($i,$o,sK0,sK2))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_7])])).
% 0.14/0.39 thf(f165,plain,(
% 0.14/0.39 ( ! [X0 : $i > $o,X1 : $i] : (($true != vAPP($i,$o,X0,X1)) | ($true = vAPP($i,$o,X0,sK3))) ) | ~spl8_14),
% 0.14/0.39 inference(avatar_component_clause,[],[f164])).
% 0.14/0.39 thf(f164,plain,(
% 0.14/0.39 spl8_14 <=> ! [X0 : $i > $o,X1] : (($true != vAPP($i,$o,X0,X1)) | ($true = vAPP($i,$o,X0,sK3)))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_14])])).
% 0.14/0.39 thf(f293,plain,(
% 0.14/0.39 spl8_14 | ~spl8_1 | ~spl8_8 | spl8_9),
% 0.14/0.39 inference(avatar_split_clause,[],[f292,f76,f68,f32,f164])).
% 0.14/0.39 thf(f32,plain,(
% 0.14/0.39 spl8_1 <=> ! [X5 : $i > $o,X4 : $i > $o,X7,X6] : (($true = vAPP($i,$o,X5,z)) | ($true != vAPP($i,$o,X4,X6)) | ($true = vAPP($i,$o,X4,X7)) | ($true != vAPP($i,$o,X5,X7)))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_1])])).
% 0.14/0.39 thf(f68,plain,(
% 0.14/0.39 spl8_8 <=> ($true = vAPP($i,$o,sK1,sK3))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_8])])).
% 0.14/0.39 thf(f76,plain,(
% 0.14/0.39 spl8_9 <=> ($true = vAPP($i,$o,sK1,z))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_9])])).
% 0.14/0.39 thf(f292,plain,(
% 0.14/0.39 ( ! [X0 : $i > $o,X1 : $i] : (($true != vAPP($i,$o,X0,X1)) | ($true = vAPP($i,$o,X0,sK3))) ) | (~spl8_1 | ~spl8_8 | spl8_9)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f291])).
% 0.14/0.39 thf(f291,plain,(
% 0.14/0.39 ( ! [X0 : $i > $o,X1 : $i] : (($true = $false) | ($true != vAPP($i,$o,X0,X1)) | ($true = vAPP($i,$o,X0,sK3))) ) | (~spl8_1 | ~spl8_8 | spl8_9)),
% 0.14/0.39 inference(forward_demodulation,[],[f290,f215])).
% 0.14/0.39 thf(f215,plain,(
% 0.14/0.39 ($false = vAPP($i,$o,sK1,z)) | spl8_9),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f214])).
% 0.14/0.39 thf(f214,plain,(
% 0.14/0.39 ($true != $true) | ($false = vAPP($i,$o,sK1,z)) | spl8_9),
% 0.14/0.39 inference(superposition,[],[f78,f4])).
% 0.14/0.39 thf(f78,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK1,z)) | spl8_9),
% 0.14/0.39 inference(avatar_component_clause,[],[f76])).
% 0.14/0.39 thf(f290,plain,(
% 0.14/0.39 ( ! [X0 : $i > $o,X1 : $i] : (($true != vAPP($i,$o,X0,X1)) | ($true = vAPP($i,$o,X0,sK3)) | ($true = vAPP($i,$o,sK1,z))) ) | (~spl8_1 | ~spl8_8)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f289])).
% 0.14/0.39 thf(f289,plain,(
% 0.14/0.39 ( ! [X0 : $i > $o,X1 : $i] : (($true != $true) | ($true != vAPP($i,$o,X0,X1)) | ($true = vAPP($i,$o,X0,sK3)) | ($true = vAPP($i,$o,sK1,z))) ) | (~spl8_1 | ~spl8_8)),
% 0.14/0.39 inference(superposition,[],[f33,f70])).
% 0.14/0.39 thf(f70,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK1,sK3)) | ~spl8_8),
% 0.14/0.39 inference(avatar_component_clause,[],[f68])).
% 0.14/0.39 thf(f33,plain,(
% 0.14/0.39 ( ! [X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i > $o] : (($true != vAPP($i,$o,X5,X7)) | ($true != vAPP($i,$o,X4,X6)) | ($true = vAPP($i,$o,X4,X7)) | ($true = vAPP($i,$o,X5,z))) ) | ~spl8_1),
% 0.14/0.39 inference(avatar_component_clause,[],[f32])).
% 0.14/0.39 thf(f205,plain,(
% 0.14/0.39 ~spl8_1 | spl8_2 | ~spl8_4 | spl8_5 | ~spl8_6),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f204])).
% 0.14/0.39 thf(f204,plain,(
% 0.14/0.39 $false | (~spl8_1 | spl8_2 | ~spl8_4 | spl8_5 | ~spl8_6)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f203])).
% 0.14/0.39 thf(f203,plain,(
% 0.14/0.39 ($true = $false) | (~spl8_1 | spl8_2 | ~spl8_4 | spl8_5 | ~spl8_6)),
% 0.14/0.39 inference(forward_demodulation,[],[f198,f114])).
% 0.14/0.39 thf(f114,plain,(
% 0.14/0.39 ($false = vAPP($i,$o,sK4,sK7)) | spl8_5),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f113])).
% 0.14/0.39 thf(f113,plain,(
% 0.14/0.39 ($true != $true) | ($false = vAPP($i,$o,sK4,sK7)) | spl8_5),
% 0.14/0.39 inference(superposition,[],[f52,f4])).
% 0.14/0.39 thf(f52,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK4,sK7)) | spl8_5),
% 0.14/0.39 inference(avatar_component_clause,[],[f50])).
% 0.14/0.39 thf(f50,plain,(
% 0.14/0.39 spl8_5 <=> ($true = vAPP($i,$o,sK4,sK7))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])).
% 0.14/0.39 thf(f198,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK4,sK7)) | (~spl8_1 | spl8_2 | ~spl8_4 | ~spl8_6)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f190])).
% 0.14/0.39 thf(f190,plain,(
% 0.14/0.39 ($true != $true) | ($true = vAPP($i,$o,sK4,sK7)) | (~spl8_1 | spl8_2 | ~spl8_4 | ~spl8_6)),
% 0.14/0.39 inference(superposition,[],[f133,f57])).
% 0.14/0.39 thf(f57,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK4,sK6)) | ~spl8_6),
% 0.14/0.39 inference(avatar_component_clause,[],[f55])).
% 0.14/0.39 thf(f55,plain,(
% 0.14/0.39 spl8_6 <=> ($true = vAPP($i,$o,sK4,sK6))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_6])])).
% 0.14/0.39 thf(f133,plain,(
% 0.14/0.39 ( ! [X0 : $i > $o,X1 : $i] : (($true != vAPP($i,$o,X0,X1)) | ($true = vAPP($i,$o,X0,sK7))) ) | (~spl8_1 | spl8_2 | ~spl8_4)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f132])).
% 0.14/0.39 thf(f132,plain,(
% 0.14/0.39 ( ! [X0 : $i > $o,X1 : $i] : (($true = $false) | ($true != vAPP($i,$o,X0,X1)) | ($true = vAPP($i,$o,X0,sK7))) ) | (~spl8_1 | spl8_2 | ~spl8_4)),
% 0.14/0.39 inference(forward_demodulation,[],[f129,f112])).
% 0.14/0.39 thf(f112,plain,(
% 0.14/0.39 ($false = vAPP($i,$o,sK5,z)) | spl8_2),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f111])).
% 0.14/0.39 thf(f111,plain,(
% 0.14/0.39 ($true != $true) | ($false = vAPP($i,$o,sK5,z)) | spl8_2),
% 0.14/0.39 inference(superposition,[],[f38,f4])).
% 0.14/0.39 thf(f38,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK5,z)) | spl8_2),
% 0.14/0.39 inference(avatar_component_clause,[],[f36])).
% 0.14/0.39 thf(f36,plain,(
% 0.14/0.39 spl8_2 <=> ($true = vAPP($i,$o,sK5,z))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_2])])).
% 0.14/0.39 thf(f129,plain,(
% 0.14/0.39 ( ! [X0 : $i > $o,X1 : $i] : (($true != vAPP($i,$o,X0,X1)) | ($true = vAPP($i,$o,X0,sK7)) | ($true = vAPP($i,$o,sK5,z))) ) | (~spl8_1 | ~spl8_4)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f123])).
% 0.14/0.39 thf(f123,plain,(
% 0.14/0.39 ( ! [X0 : $i > $o,X1 : $i] : (($true != $true) | ($true != vAPP($i,$o,X0,X1)) | ($true = vAPP($i,$o,X0,sK7)) | ($true = vAPP($i,$o,sK5,z))) ) | (~spl8_1 | ~spl8_4)),
% 0.14/0.39 inference(superposition,[],[f33,f47])).
% 0.14/0.39 thf(f47,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK5,sK7)) | ~spl8_4),
% 0.14/0.39 inference(avatar_component_clause,[],[f45])).
% 0.14/0.39 thf(f45,plain,(
% 0.14/0.39 spl8_4 <=> ($true = vAPP($i,$o,sK5,sK7))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_4])])).
% 0.14/0.39 thf(f82,plain,(
% 0.14/0.39 spl8_6 | ~spl8_9),
% 0.14/0.39 inference(avatar_split_clause,[],[f14,f76,f55])).
% 0.14/0.39 thf(f14,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK1,z)) | ($true = vAPP($i,$o,sK4,sK6))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f13,plain,(
% 0.14/0.39 (! [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((vAPP($i,$o,X0,X3) = $true) | (vAPP($i,$o,X0,X2) != $true) | (vAPP($i,$o,X1,X3) != $true) | (vAPP($i,$o,X1,z) = $true)) | ! [X4 : $i > $o,X5 : $i > $o,X6,X7] : (($true = vAPP($i,$o,X5,z)) | ($true != vAPP($i,$o,X5,X7)) | ($true = vAPP($i,$o,X4,X7)) | ($true != vAPP($i,$o,X4,X6)))) & ((($true != vAPP($i,$o,sK0,sK3)) & ($true = vAPP($i,$o,sK0,sK2)) & ($true = vAPP($i,$o,sK1,sK3)) & ($true != vAPP($i,$o,sK1,z))) | (($true != vAPP($i,$o,sK5,z)) & ($true = vAPP($i,$o,sK5,sK7)) & ($true != vAPP($i,$o,sK4,sK7)) & ($true = vAPP($i,$o,sK4,sK6))))),
% 0.14/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f10,f12,f11])).
% 0.14/0.39 thf(f11,plain,(
% 0.14/0.39 ? [X8 : $i > $o,X9 : $i > $o,X10,X11] : (($true != vAPP($i,$o,X8,X11)) & ($true = vAPP($i,$o,X8,X10)) & ($true = vAPP($i,$o,X9,X11)) & ($true != vAPP($i,$o,X9,z))) => (($true != vAPP($i,$o,sK0,sK3)) & ($true = vAPP($i,$o,sK0,sK2)) & ($true = vAPP($i,$o,sK1,sK3)) & ($true != vAPP($i,$o,sK1,z)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f12,plain,(
% 0.14/0.39 ? [X12 : $i > $o,X13 : $i > $o,X14,X15] : (($true != vAPP($i,$o,X13,z)) & ($true = vAPP($i,$o,X13,X15)) & ($true != vAPP($i,$o,X12,X15)) & ($true = vAPP($i,$o,X12,X14))) => (($true != vAPP($i,$o,sK5,z)) & ($true = vAPP($i,$o,sK5,sK7)) & ($true != vAPP($i,$o,sK4,sK7)) & ($true = vAPP($i,$o,sK4,sK6)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f10,plain,(
% 0.14/0.39 (! [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((vAPP($i,$o,X0,X3) = $true) | (vAPP($i,$o,X0,X2) != $true) | (vAPP($i,$o,X1,X3) != $true) | (vAPP($i,$o,X1,z) = $true)) | ! [X4 : $i > $o,X5 : $i > $o,X6,X7] : (($true = vAPP($i,$o,X5,z)) | ($true != vAPP($i,$o,X5,X7)) | ($true = vAPP($i,$o,X4,X7)) | ($true != vAPP($i,$o,X4,X6)))) & (? [X8 : $i > $o,X9 : $i > $o,X10,X11] : (($true != vAPP($i,$o,X8,X11)) & ($true = vAPP($i,$o,X8,X10)) & ($true = vAPP($i,$o,X9,X11)) & ($true != vAPP($i,$o,X9,z))) | ? [X12 : $i > $o,X13 : $i > $o,X14,X15] : (($true != vAPP($i,$o,X13,z)) & ($true = vAPP($i,$o,X13,X15)) & ($true != vAPP($i,$o,X12,X15)) & ($true = vAPP($i,$o,X12,X14))))),
% 0.14/0.39 inference(rectify,[],[f9])).
% 0.14/0.39 thf(f9,plain,(
% 0.14/0.39 (! [X4 : $i > $o,X5 : $i > $o,X6,X7] : (($true = vAPP($i,$o,X4,X7)) | ($true != vAPP($i,$o,X4,X6)) | ($true != vAPP($i,$o,X5,X7)) | ($true = vAPP($i,$o,X5,z))) | ! [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((vAPP($i,$o,X1,z) = $true) | (vAPP($i,$o,X1,X3) != $true) | (vAPP($i,$o,X0,X3) = $true) | (vAPP($i,$o,X0,X2) != $true))) & (? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (($true != vAPP($i,$o,X4,X7)) & ($true = vAPP($i,$o,X4,X6)) & ($true = vAPP($i,$o,X5,X7)) & ($true != vAPP($i,$o,X5,z))) | ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((vAPP($i,$o,X1,z) != $true) & (vAPP($i,$o,X1,X3) = $true) & (vAPP($i,$o,X0,X3) != $true) & (vAPP($i,$o,X0,X2) = $true)))),
% 0.14/0.39 inference(nnf_transformation,[],[f8])).
% 0.14/0.39 thf(f8,plain,(
% 0.14/0.39 ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((vAPP($i,$o,X1,z) != $true) & (vAPP($i,$o,X1,X3) = $true) & (vAPP($i,$o,X0,X3) != $true) & (vAPP($i,$o,X0,X2) = $true)) <~> ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (($true != vAPP($i,$o,X4,X7)) & ($true = vAPP($i,$o,X4,X6)) & ($true = vAPP($i,$o,X5,X7)) & ($true != vAPP($i,$o,X5,z)))),
% 0.14/0.39 inference(ennf_transformation,[],[f7])).
% 0.14/0.39 thf(f7,plain,(
% 0.14/0.39 ~(? [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((vAPP($i,$o,X1,z) != $true) & (vAPP($i,$o,X1,X3) = $true) & (vAPP($i,$o,X0,X3) != $true) & (vAPP($i,$o,X0,X2) = $true)) <=> ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (($true != vAPP($i,$o,X4,X7)) & ($true = vAPP($i,$o,X4,X6)) & ($true = vAPP($i,$o,X5,X7)) & ($true != vAPP($i,$o,X5,z))))),
% 0.14/0.39 inference(flattening,[],[f6])).
% 0.14/0.39 thf(f6,plain,(
% 0.14/0.39 ~(? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~(vAPP($i,$o,X1,z) = $true) & (vAPP($i,$o,X1,X3) = $true) & ~(vAPP($i,$o,X0,X3) = $true) & (vAPP($i,$o,X0,X2) = $true)) <=> ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (~($true = vAPP($i,$o,X4,X7)) & ($true = vAPP($i,$o,X4,X6)) & ($true = vAPP($i,$o,X5,X7)) & ~($true = vAPP($i,$o,X5,z))))),
% 0.14/0.39 inference(fool_elimination,[],[f5])).
% 0.14/0.39 thf(f5,plain,(
% 0.14/0.39 ~(? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~vAPP($i,$o,X1,z) & vAPP($i,$o,X1,X3) & ~vAPP($i,$o,X0,X3) & vAPP($i,$o,X0,X2)) <=> ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (~vAPP($i,$o,X4,X7) & vAPP($i,$o,X4,X6) & vAPP($i,$o,X5,X7) & ~vAPP($i,$o,X5,z)))),
% 0.14/0.39 inference(rectify,[],[f2])).
% 0.14/0.39 thf(f2,negated_conjecture,(
% 0.14/0.39 ~(? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~vAPP($i,$o,X1,z) & vAPP($i,$o,X1,X3) & ~vAPP($i,$o,X0,X3) & vAPP($i,$o,X0,X2)) <=> ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~vAPP($i,$o,X0,X3) & vAPP($i,$o,X0,X2) & vAPP($i,$o,X1,X3) & ~vAPP($i,$o,X1,z)))),
% 0.14/0.39 inference(negated_conjecture,[],[f1])).
% 0.14/0.39 thf(f1,conjecture,(
% 0.14/0.39 ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~vAPP($i,$o,X1,z) & vAPP($i,$o,X1,X3) & ~vAPP($i,$o,X0,X3) & vAPP($i,$o,X0,X2)) <=> ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~vAPP($i,$o,X0,X3) & vAPP($i,$o,X0,X2) & vAPP($i,$o,X1,X3) & ~vAPP($i,$o,X1,z))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSILLYWFF2)).
% 0.14/0.39 thf(f81,plain,(
% 0.14/0.39 ~spl8_5 | ~spl8_9),
% 0.14/0.39 inference(avatar_split_clause,[],[f15,f76,f50])).
% 0.14/0.39 thf(f15,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK1,z)) | ($true != vAPP($i,$o,sK4,sK7))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f80,plain,(
% 0.14/0.39 spl8_4 | ~spl8_9),
% 0.14/0.39 inference(avatar_split_clause,[],[f16,f76,f45])).
% 0.14/0.39 thf(f16,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK1,z)) | ($true = vAPP($i,$o,sK5,sK7))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f79,plain,(
% 0.14/0.39 ~spl8_2 | ~spl8_9),
% 0.14/0.39 inference(avatar_split_clause,[],[f17,f76,f36])).
% 0.14/0.39 thf(f17,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK1,z)) | ($true != vAPP($i,$o,sK5,z))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f74,plain,(
% 0.14/0.39 spl8_6 | spl8_8),
% 0.14/0.39 inference(avatar_split_clause,[],[f18,f68,f55])).
% 0.14/0.39 thf(f18,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK1,sK3)) | ($true = vAPP($i,$o,sK4,sK6))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f73,plain,(
% 0.14/0.39 ~spl8_5 | spl8_8),
% 0.14/0.39 inference(avatar_split_clause,[],[f19,f68,f50])).
% 0.14/0.39 thf(f19,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK1,sK3)) | ($true != vAPP($i,$o,sK4,sK7))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f72,plain,(
% 0.14/0.39 spl8_4 | spl8_8),
% 0.14/0.39 inference(avatar_split_clause,[],[f20,f68,f45])).
% 0.14/0.39 thf(f20,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK1,sK3)) | ($true = vAPP($i,$o,sK5,sK7))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f71,plain,(
% 0.14/0.39 ~spl8_2 | spl8_8),
% 0.14/0.39 inference(avatar_split_clause,[],[f21,f68,f36])).
% 0.14/0.39 thf(f21,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK1,sK3)) | ($true != vAPP($i,$o,sK5,z))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f66,plain,(
% 0.14/0.39 spl8_6 | spl8_7),
% 0.14/0.39 inference(avatar_split_clause,[],[f22,f60,f55])).
% 0.14/0.39 thf(f22,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK0,sK2)) | ($true = vAPP($i,$o,sK4,sK6))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f65,plain,(
% 0.14/0.39 ~spl8_5 | spl8_7),
% 0.14/0.39 inference(avatar_split_clause,[],[f23,f60,f50])).
% 0.14/0.39 thf(f23,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK0,sK2)) | ($true != vAPP($i,$o,sK4,sK7))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f64,plain,(
% 0.14/0.39 spl8_4 | spl8_7),
% 0.14/0.39 inference(avatar_split_clause,[],[f24,f60,f45])).
% 0.14/0.39 thf(f24,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK0,sK2)) | ($true = vAPP($i,$o,sK5,sK7))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f63,plain,(
% 0.14/0.39 ~spl8_2 | spl8_7),
% 0.14/0.39 inference(avatar_split_clause,[],[f25,f60,f36])).
% 0.14/0.39 thf(f25,plain,(
% 0.14/0.39 ($true = vAPP($i,$o,sK0,sK2)) | ($true != vAPP($i,$o,sK5,z))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f58,plain,(
% 0.14/0.39 spl8_6 | ~spl8_3),
% 0.14/0.39 inference(avatar_split_clause,[],[f26,f40,f55])).
% 0.14/0.39 thf(f26,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK0,sK3)) | ($true = vAPP($i,$o,sK4,sK6))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f53,plain,(
% 0.14/0.39 ~spl8_5 | ~spl8_3),
% 0.14/0.39 inference(avatar_split_clause,[],[f27,f40,f50])).
% 0.14/0.39 thf(f27,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK0,sK3)) | ($true != vAPP($i,$o,sK4,sK7))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f48,plain,(
% 0.14/0.39 spl8_4 | ~spl8_3),
% 0.14/0.39 inference(avatar_split_clause,[],[f28,f40,f45])).
% 0.14/0.39 thf(f28,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK0,sK3)) | ($true = vAPP($i,$o,sK5,sK7))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f43,plain,(
% 0.14/0.39 ~spl8_2 | ~spl8_3),
% 0.14/0.39 inference(avatar_split_clause,[],[f29,f40,f36])).
% 0.14/0.39 thf(f29,plain,(
% 0.14/0.39 ($true != vAPP($i,$o,sK0,sK3)) | ($true != vAPP($i,$o,sK5,z))),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 thf(f34,plain,(
% 0.14/0.39 spl8_1 | spl8_1),
% 0.14/0.39 inference(avatar_split_clause,[],[f30,f32,f32])).
% 0.14/0.39 thf(f30,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i > $o,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i > $o] : ((vAPP($i,$o,X0,X3) = $true) | (vAPP($i,$o,X0,X2) != $true) | (vAPP($i,$o,X1,X3) != $true) | (vAPP($i,$o,X1,z) = $true) | ($true = vAPP($i,$o,X5,z)) | ($true != vAPP($i,$o,X5,X7)) | ($true = vAPP($i,$o,X4,X7)) | ($true != vAPP($i,$o,X4,X6))) )),
% 0.14/0.39 inference(cnf_transformation,[],[f13])).
% 0.14/0.39 % SZS output end Proof for theBenchmark
% 0.14/0.39 % (30728)------------------------------
% 0.14/0.39 % (30728)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (30728)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (30728)Memory used [KB]: 894
% 0.14/0.39 % (30728)Time elapsed: 0.011 s
% 0.14/0.39 % (30728)Instructions burned: 18 (million)
% 0.14/0.39 % (30722)Success in time 0.011 s
%------------------------------------------------------------------------------