TSTP Solution File: NUN023^2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN023^2 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 02:17:42 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN023^2 : TPTP v8.2.0. Released v6.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 14:50:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (25556)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (25559)WARNING: value z3 for option sas not known
% 0.22/0.39 % (25558)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (25557)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (25560)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (25559)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (25561)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39 % (25562)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 % (25563)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39 % Exception at run slice level% (25563)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.39
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.40 % (25559)Also succeeded, but the first one will report.
% 0.22/0.40 % (25562)First to succeed.
% 0.22/0.40 % (25562)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25556"
% 0.22/0.40 % (25563)Also succeeded, but the first one will report.
% 0.22/0.40 % (25562)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% 0.22/0.40 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.40 thf(func_def_1, type, s: $i > $i).
% 0.22/0.40 thf(func_def_2, type, ite: $o > $i > $i > $i).
% 0.22/0.40 thf(func_def_3, type, h: $i > $i).
% 0.22/0.40 thf(func_def_7, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.40 thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.22/0.40 thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.22/0.40 thf(func_def_10, type, vAND: $o > $o > $o).
% 0.22/0.40 thf(func_def_11, type, vOR: $o > $o > $o).
% 0.22/0.40 thf(func_def_12, type, vIMP: $o > $o > $o).
% 0.22/0.40 thf(func_def_13, type, vNOT: $o > $o).
% 0.22/0.40 thf(f110,plain,(
% 0.22/0.40 $false),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f108])).
% 0.22/0.40 thf(f108,plain,(
% 0.22/0.40 (zero != zero)),
% 0.22/0.40 inference(superposition,[],[f104,f103])).
% 0.22/0.40 thf(f103,plain,(
% 0.22/0.40 (zero = vAPP($i,$i,h,zero))),
% 0.22/0.40 inference(backward_demodulation,[],[f89,f95])).
% 0.22/0.40 thf(f95,plain,(
% 0.22/0.40 (zero = vAPP($i,$i,s,zero))),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f94])).
% 0.22/0.40 thf(f94,plain,(
% 0.22/0.40 (zero != zero) | (zero = vAPP($i,$i,s,zero))),
% 0.22/0.40 inference(superposition,[],[f93,f82])).
% 0.22/0.40 thf(f82,plain,(
% 0.22/0.40 ( ! [X0 : $i] : ((zero = vAPP($i,$i,h,X0)) | (zero = X0)) )),
% 0.22/0.40 inference(equality_proxy_clausification,[],[f67])).
% 0.22/0.40 thf(f67,plain,(
% 0.22/0.40 ( ! [X0 : $i] : ((zero = vAPP($i,$i,h,X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),zero),X0))) )),
% 0.22/0.40 inference(superposition,[],[f13,f12])).
% 0.22/0.40 thf(f12,plain,(
% 0.22/0.40 ( ! [X2 : $o,X3 : $i,X4 : $i] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X2),X3),X4) = X4) | ($true = X2)) )),
% 0.22/0.40 inference(cnf_transformation,[],[f10])).
% 0.22/0.40 thf(f10,plain,(
% 0.22/0.40 ! [X0 : $i > $i] : ((zero != vAPP($i,$i,X0,vAPP($i,$i,s,zero))) | (vAPP($i,$i,s,zero) != vAPP($i,$i,X0,zero))) & ! [X1] : (vAPP($i,$i,h,X1) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),zero),X1)),vAPP($i,$i,s,zero)),zero)) & ! [X2 : $o,X3,X4] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X2),X3),X4) = X4) | ($true = X2)) & ! [X5 : $o,X6,X7] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X5),X6),X7) = X6) | ($true != X5))),
% 0.22/0.40 inference(rectify,[],[f9])).
% 0.22/0.40 thf(f9,plain,(
% 0.22/0.40 ! [X7 : $i > $i] : ((zero != vAPP($i,$i,X7,vAPP($i,$i,s,zero))) | (vAPP($i,$i,s,zero) != vAPP($i,$i,X7,zero))) & ! [X0] : (vAPP($i,$i,h,X0) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),zero),X0)),vAPP($i,$i,s,zero)),zero)) & ! [X1 : $o,X2,X3] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X1),X2),X3) = X3) | ($true = X1)) & ! [X4 : $o,X5,X6] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X4),X5),X6) = X5) | ($true != X4))),
% 0.22/0.40 inference(flattening,[],[f8])).
% 0.22/0.40 thf(f8,plain,(
% 0.22/0.40 ! [X7 : $i > $i] : ((zero != vAPP($i,$i,X7,vAPP($i,$i,s,zero))) | (vAPP($i,$i,s,zero) != vAPP($i,$i,X7,zero))) & (! [X0] : (vAPP($i,$i,h,X0) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),zero),X0)),vAPP($i,$i,s,zero)),zero)) & ! [X1 : $o,X2,X3] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X1),X2),X3) = X3) | ($true = X1)) & ! [X4 : $o,X5,X6] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X4),X5),X6) = X5) | ($true != X4)))),
% 0.22/0.40 inference(ennf_transformation,[],[f7])).
% 0.22/0.40 thf(f7,plain,(
% 0.22/0.40 ~((! [X0] : (vAPP($i,$i,h,X0) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),zero),X0)),vAPP($i,$i,s,zero)),zero)) & ! [X1 : $o,X2,X3] : (($true != X1) => (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X1),X2),X3) = X3)) & ! [X4 : $o,X5,X6] : (($true = X4) => (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X4),X5),X6) = X5))) => ? [X7 : $i > $i] : ((zero = vAPP($i,$i,X7,vAPP($i,$i,s,zero))) & (vAPP($i,$i,s,zero) = vAPP($i,$i,X7,zero))))),
% 0.22/0.40 inference(flattening,[],[f6])).
% 0.22/0.40 thf(f6,plain,(
% 0.22/0.40 ~((! [X0] : (vAPP($i,$i,h,X0) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),zero),X0)),vAPP($i,$i,s,zero)),zero)) & ! [X1 : $o,X2,X3] : (~($true = X1) => (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X1),X2),X3) = X3)) & ! [X4 : $o,X5,X6] : (($true = X4) => (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X4),X5),X6) = X5))) => ? [X7 : $i > $i] : ((zero = vAPP($i,$i,X7,vAPP($i,$i,s,zero))) & (vAPP($i,$i,s,zero) = vAPP($i,$i,X7,zero))))),
% 0.22/0.40 inference(fool_elimination,[],[f5])).
% 0.22/0.40 thf(f5,plain,(
% 0.22/0.40 ~((! [X0] : (vAPP($i,$i,h,X0) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,(zero = X0)),vAPP($i,$i,s,zero)),zero)) & ! [X1 : $o,X2,X3] : (~X1 => (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X1),X2),X3) = X3)) & ! [X4 : $o,X5,X6] : (X4 => (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X4),X5),X6) = X5))) => ? [X7 : $i > $i] : ((zero = vAPP($i,$i,X7,vAPP($i,$i,s,zero))) & (vAPP($i,$i,s,zero) = vAPP($i,$i,X7,zero))))),
% 0.22/0.40 inference(rectify,[],[f2])).
% 0.22/0.40 thf(f2,negated_conjecture,(
% 0.22/0.40 ~((! [X3] : (vAPP($i,$i,h,X3) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,(zero = X3)),vAPP($i,$i,s,zero)),zero)) & ! [X0 : $o,X1,X2] : (~X0 => (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X0),X1),X2) = X2)) & ! [X0 : $o,X1,X2] : (X0 => (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X0),X1),X2) = X1))) => ? [X4 : $i > $i] : ((zero = vAPP($i,$i,X4,vAPP($i,$i,s,zero))) & (vAPP($i,$i,s,zero) = vAPP($i,$i,X4,zero))))),
% 0.22/0.40 inference(negated_conjecture,[],[f1])).
% 0.22/0.40 thf(f1,conjecture,(
% 0.22/0.40 (! [X3] : (vAPP($i,$i,h,X3) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,(zero = X3)),vAPP($i,$i,s,zero)),zero)) & ! [X0 : $o,X1,X2] : (~X0 => (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X0),X1),X2) = X2)) & ! [X0 : $o,X1,X2] : (X0 => (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X0),X1),X2) = X1))) => ? [X4 : $i > $i] : ((zero = vAPP($i,$i,X4,vAPP($i,$i,s,zero))) & (vAPP($i,$i,s,zero) = vAPP($i,$i,X4,zero)))),
% 0.22/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',n10)).
% 0.22/0.40 thf(f13,plain,(
% 0.22/0.40 ( ! [X1 : $i] : ((vAPP($i,$i,h,X1) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),zero),X1)),vAPP($i,$i,s,zero)),zero))) )),
% 0.22/0.40 inference(cnf_transformation,[],[f10])).
% 0.22/0.40 thf(f93,plain,(
% 0.22/0.40 (zero != vAPP($i,$i,h,vAPP($i,$i,s,zero)))),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f92])).
% 0.22/0.40 thf(f92,plain,(
% 0.22/0.40 (vAPP($i,$i,s,zero) != vAPP($i,$i,s,zero)) | (zero != vAPP($i,$i,h,vAPP($i,$i,s,zero)))),
% 0.22/0.40 inference(superposition,[],[f14,f89])).
% 0.22/0.40 thf(f14,plain,(
% 0.22/0.40 ( ! [X0 : $i > $i] : ((vAPP($i,$i,s,zero) != vAPP($i,$i,X0,zero)) | (zero != vAPP($i,$i,X0,vAPP($i,$i,s,zero)))) )),
% 0.22/0.40 inference(cnf_transformation,[],[f10])).
% 0.22/0.40 thf(f89,plain,(
% 0.22/0.40 (vAPP($i,$i,s,zero) = vAPP($i,$i,h,zero))),
% 0.22/0.40 inference(equality_resolution,[],[f86])).
% 0.22/0.40 thf(f86,plain,(
% 0.22/0.40 ( ! [X0 : $i] : ((zero != X0) | (vAPP($i,$i,s,zero) = vAPP($i,$i,h,X0))) )),
% 0.22/0.40 inference(forward_demodulation,[],[f85,f15])).
% 0.22/0.40 thf(f15,plain,(
% 0.22/0.40 ( ! [X6 : $i,X7 : $i] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,$true),X6),X7) = X6)) )),
% 0.22/0.40 inference(equality_resolution,[],[f11])).
% 0.22/0.40 thf(f11,plain,(
% 0.22/0.40 ( ! [X6 : $i,X7 : $i,X5 : $o] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,X5),X6),X7) = X6) | ($true != X5)) )),
% 0.22/0.40 inference(cnf_transformation,[],[f10])).
% 0.22/0.40 thf(f85,plain,(
% 0.22/0.40 ( ! [X0 : $i] : ((vAPP($i,$i,h,X0) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,$true),vAPP($i,$i,s,zero)),zero)) | (zero != X0)) )),
% 0.22/0.40 inference(equality_proxy_clausification,[],[f64])).
% 0.22/0.40 thf(f64,plain,(
% 0.22/0.40 ( ! [X0 : $i] : ((vAPP($i,$i,h,X0) = vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),ite,$true),vAPP($i,$i,s,zero)),zero)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),zero),X0))) )),
% 0.22/0.40 inference(superposition,[],[f13,f4])).
% 0.22/0.40 thf(f4,plain,(
% 0.22/0.40 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.22/0.40 introduced(fool_axiom,[])).
% 0.22/0.40 thf(f104,plain,(
% 0.22/0.40 (zero != vAPP($i,$i,h,zero))),
% 0.22/0.40 inference(backward_demodulation,[],[f93,f95])).
% 0.22/0.40 % SZS output end Proof for theBenchmark
% 0.22/0.40 % (25562)------------------------------
% 0.22/0.40 % (25562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40 % (25562)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (25562)Memory used [KB]: 857
% 0.22/0.40 % (25562)Time elapsed: 0.014 s
% 0.22/0.40 % (25562)Instructions burned: 11 (million)
% 0.22/0.40 % (25556)Success in time 0.04 s
%------------------------------------------------------------------------------