%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP685-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:18:33 AM UTC 2026
% Result : Unsatisfiable 1.31s 0.73s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,negated_conjecture,
rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f9,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f11,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f3,f9]) ).
fof(f13,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(superposition,[],[f4,f2]) ).
fof(f14,plain,
rd(mult(x6,x8),x8) != mult(rd(x6,ld(x7,x8)),ld(x7,x8)),
inference(superposition,[],[f8,f4]) ).
fof(f16,plain,
mult(rd(x6,ld(x7,x8)),ld(x7,x8)) != mult(rd(x6,x8),x8),
inference(forward_demodulation,[],[f14,f4]) ).
fof(f17,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f4,f13]) ).
fof(f23,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[],[f7,f4]) ).
fof(f24,plain,
! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f23,f3]) ).
fof(f26,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(rd(X0,X0),rd(X0,X0)))),
inference(superposition,[],[f24,f13]) ).
fof(f27,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f17,f24]) ).
fof(f31,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f27,f11]) ).
fof(f33,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(superposition,[],[f24,f31]) ).
fof(f35,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f13,f31]) ).
fof(f50,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(forward_demodulation,[],[f26,f31]) ).
fof(f72,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[],[f5,f3]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : mult(mult(X0,ld(X0,X2)),X3) = mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))),
inference(forward_demodulation,[],[f72,f3]) ).
fof(f74,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[],[f6,f4]) ).
fof(f75,plain,
! [X2,X3,X0,X1] : mult(X0,mult(rd(X1,X3),X3)) = mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)),
inference(forward_demodulation,[],[f74,f4]) ).
fof(f76,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[],[f73,f1]) ).
fof(f106,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f76,f9]) ).
fof(f107,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X0,X0),X1))),
inference(superposition,[],[f76,f11]) ).
fof(f131,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f106,f3]) ).
fof(f233,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(superposition,[],[f107,f50]) ).
fof(f250,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f233,f50]) ).
fof(f486,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(superposition,[],[f75,f9]) ).
fof(f516,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(rd(mult(X1,X2),X0),X0),
inference(superposition,[],[f75,f2]) ).
fof(f544,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X2,X1)),rd(X2,X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f486,f33]) ).
fof(f553,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(forward_demodulation,[],[f544,f131]) ).
fof(f557,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,mult(rd(ld(X0,X0),X1),X1)),
inference(superposition,[],[f516,f9]) ).
fof(f587,plain,
! [X0,X1] : mult(X0,mult(rd(X1,X1),X1)) = mult(mult(rd(X0,X1),X1),X1),
inference(superposition,[],[f516,f4]) ).
fof(f602,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(rd(X0,X1),X1),X1),
inference(forward_demodulation,[],[f587,f13]) ).
fof(f625,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f557,f33]) ).
fof(f639,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f625,f131]) ).
fof(f644,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(mult(X0,ld(X0,ld(X1,X1))),X1),
inference(superposition,[],[f602,f24]) ).
fof(f660,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X1,X1),X1))),
inference(forward_demodulation,[],[f644,f76]) ).
fof(f664,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(rd(X0,X0),X1),
inference(forward_demodulation,[],[f660,f35]) ).
fof(f665,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(ld(X0,X0),X1),
inference(forward_demodulation,[],[f664,f31]) ).
fof(f667,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(superposition,[],[f639,f4]) ).
fof(f686,plain,
mult(rd(x6,x8),x8) != mult(x6,ld(ld(x7,x8),ld(x7,x8))),
inference(superposition,[],[f16,f639]) ).
fof(f700,plain,
mult(x6,ld(ld(x7,x8),ld(x7,x8))) != mult(x6,ld(x8,x8)),
inference(forward_demodulation,[],[f686,f639]) ).
fof(f710,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f667,f602]) ).
fof(f1048,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,X1)) = mult(rd(mult(X0,X1),ld(X1,X1)),ld(X1,X1)),
inference(superposition,[],[f4,f710]) ).
fof(f1050,plain,
! [X0,X1] : mult(mult(X0,X1),ld(ld(X1,X1),ld(X1,X1))) = rd(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f1048,f639]) ).
fof(f1071,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = rd(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f1050,f250]) ).
fof(f1079,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f1071,f710]) ).
fof(f1527,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(X0,ld(rd(X2,X1),rd(X2,X1))),
inference(forward_demodulation,[],[f553,f639]) ).
fof(f1536,plain,
! [X2,X0,X1] : mult(X2,ld(ld(X1,X1),ld(X1,X1))) = mult(X2,ld(mult(X0,X1),mult(X0,X1))),
inference(superposition,[],[f1527,f1079]) ).
fof(f1647,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f1536,f250]) ).
fof(f3262,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1)))),
inference(superposition,[],[f1647,f665]) ).
fof(f3429,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(ld(X0,X1),ld(X0,X1))),
inference(forward_demodulation,[],[f3262,f1647]) ).
fof(f4561,plain,
mult(x6,ld(x8,x8)) != mult(x6,ld(x8,x8)),
inference(superposition,[],[f700,f3429]) ).
fof(f4562,plain,
$false,
inference(trivial_inequality_removal,[],[f4561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP685-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.45 % Computer : n008.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 10:36:39 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.50 Running first-order model finding
% 0.19/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.31/0.73 % (1030623)Will run a generic schedule for satisfiability detection.
% 1.31/0.73 % (1030629)% WARNING: option uhcvi not known.
% 1.31/0.73 % (1030629)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2558427908:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.31/0.73 % (1030630)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3963433424:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.31/0.73 % (1030628)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=890102524_2999 on theBenchmark for (2999ds/0Mi)
% 1.31/0.73 % (1030633)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2133484140:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.31/0.73 % TRYING [1]
% 1.31/0.73 % TRYING [2]
% 1.31/0.73 % TRYING [3]
% 1.31/0.73 % (1030631)dis+10_1_sil=32000:sp=arity:random_seed=783727025:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.31/0.73 % (1030634)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2764292913:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.31/0.73 % (1030632)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=92905653:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.31/0.73 % TRYING [4]
% 1.31/0.73 % (1030633)Instruction limit reached!
% 1.31/0.73 % (1030633)------------------------------
% 1.31/0.73 % (1030633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.73 % (1030633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.73 % (1030633)CaDiCaL version: 2.1.3
% 1.31/0.73 % (1030633)Termination reason: Instruction limit
% 1.31/0.73 % (1030633)Termination phase: Saturation
% 1.31/0.73 % (1030633)Time elapsed: 0.123 s
% 1.31/0.73 % (1030633)Peak memory usage: 12 MB
% 1.31/0.73 % (1030633)Instructions burned: 131 (million)
% 1.31/0.73 % (1030632)Instruction limit reached!
% 1.31/0.73 % (1030632)------------------------------
% 1.31/0.73 % (1030632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.73 % (1030632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.73 % (1030632)CaDiCaL version: 2.1.3
% 1.31/0.73 % (1030632)Termination reason: Instruction limit
% 1.31/0.73 % (1030632)Termination phase: Saturation
% 1.31/0.73 % (1030632)Time elapsed: 0.114 s
% 1.31/0.73 % (1030632)Peak memory usage: 12 MB
% 1.31/0.73 % (1030632)Instructions burned: 116 (million)
% 1.31/0.73 % (1030631)Instruction limit reached!
% 1.31/0.73 % (1030631)------------------------------
% 1.31/0.73 % (1030631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.73 % (1030631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.73 % (1030631)CaDiCaL version: 2.1.3
% 1.31/0.73 % (1030630) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1030623-1030630"...
% 1.31/0.73 % (1030631)Termination reason: Instruction limit
% 1.31/0.73 % (1030631)Termination phase: Saturation
% 1.31/0.73 % (1030631)Time elapsed: 0.150 s
% 1.31/0.73 % (1030631)Peak memory usage: 12 MB
% 1.31/0.73 % (1030631)Instructions burned: 107 (million)
% 1.31/0.73 % (1030630)...printing done.
% 1.31/0.73 % (1030630)Refutation found. Thanks to Tanya!
% 1.31/0.73 % SZS status Unsatisfiable for theBenchmark
% 1.31/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.73 % (1030630)------------------------------
% 1.31/0.73 % (1030630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.73 % (1030630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.73 % (1030630)CaDiCaL version: 2.1.3
% 1.31/0.73 % (1030630)Termination reason: Refutation
% 1.31/0.73 % (1030630)Time elapsed: 0.158 s
% 1.31/0.73 % (1030630)Peak memory usage: 13 MB
% 1.31/0.73 % (1030630)Instructions burned: 175 (million)
% 1.31/0.73 % (1030623)Success in time 0.213 s
% 1.31/0.73 % Vampire exiting
%------------------------------------------------------------------------------