%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP531-1 : TPTP v9.3.1. Released v2.6.0.
% 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 10:18:02 AM UTC 2026
% Result : Unsatisfiable 1.13s 0.67s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f9,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[],[f3,f5]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(divide(X1,inverse(X0)),divide(X1,divide(X2,X2))) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f13,plain,
! [X2,X0,X1] : divide(X0,divide(divide(X1,divide(X2,X0)),X1)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f17,plain,
! [X2,X0,X1] : divide(divide(X0,divide(inverse(X1),X2)),multiply(X0,X1)) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f19,plain,
! [X0,X1] : inverse(divide(divide(X1,X0),X1)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : divide(multiply(X1,X0),divide(X1,divide(X2,X2))) = X0,
inference(forward_demodulation,[],[f10,f5]) ).
fof(f28,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f19,f3]) ).
fof(f31,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(backward_demodulation,[],[f9,f28]) ).
fof(f34,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X0),X1),
inference(superposition,[],[f28,f19]) ).
fof(f38,plain,
! [X2,X0] : divide(X0,inverse(divide(X2,X0))) = X2,
inference(backward_demodulation,[],[f13,f34]) ).
fof(f39,plain,
! [X2,X0] : multiply(X0,divide(X2,X0)) = X2,
inference(forward_demodulation,[],[f38,f5]) ).
fof(f41,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X0)) = multiply(divide(X1,X2),X0),
inference(superposition,[],[f39,f1]) ).
fof(f44,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f31,f39]) ).
fof(f45,plain,
! [X0,X1] : divide(multiply(X1,X0),X1) = X0,
inference(backward_demodulation,[],[f22,f44]) ).
fof(f48,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[],[f31,f41]) ).
fof(f60,plain,
! [X0,X1] : inverse(X1) = divide(X0,multiply(X0,X1)),
inference(superposition,[],[f48,f5]) ).
fof(f61,plain,
! [X0,X1] : divide(multiply(X1,X0),X0) = X1,
inference(superposition,[],[f48,f45]) ).
fof(f180,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f39,f61]) ).
fof(f206,plain,
! [X2,X0,X1] : divide(X1,divide(inverse(X2),X0)) = multiply(multiply(X1,X2),X0),
inference(superposition,[],[f39,f17]) ).
fof(f445,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(superposition,[],[f34,f60]) ).
fof(f464,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = divide(X1,inverse(multiply(X0,X2))),
inference(backward_demodulation,[],[f206,f445]) ).
fof(f473,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[],[f464,f5]) ).
fof(f479,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(backward_demodulation,[],[f4,f473]) ).
fof(f482,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[],[f479,f180]) ).
fof(f483,plain,
$false,
inference(trivial_inequality_removal,[],[f482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP531-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.42 % Computer : n008.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 10:07:24 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.48 Running first-order model finding
% 0.17/0.48 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
% 1.13/0.67 % (1000052)Will run a generic schedule for satisfiability detection.
% 1.13/0.67 % (1000063)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=635744929:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.13/0.67 % (1000057)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3980620619_2999 on theBenchmark for (2999ds/0Mi)
% 1.13/0.67 % TRYING [1]
% 1.13/0.67 % TRYING [2]
% 1.13/0.67 % TRYING [3]
% 1.13/0.67 % TRYING [4]
% 1.13/0.67 % (1000058)% WARNING: option uhcvi not known.
% 1.13/0.67 % (1000058)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1823737870:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.13/0.67 % (1000061)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1673849579:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.13/0.67 % (1000060)dis+10_1_sil=32000:sp=arity:random_seed=2768349268:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.13/0.67 % (1000059)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3953825249:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.13/0.67 % (1000062)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2539940098:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.13/0.67 % TRYING [5]
% 1.13/0.67 % (1000063)Instruction limit reached!
% 1.13/0.67 % (1000063)------------------------------
% 1.13/0.67 % (1000063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.67 % (1000063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.67 % (1000063)CaDiCaL version: 2.1.3
% 1.13/0.67 % (1000063)Termination reason: Instruction limit
% 1.13/0.67 % (1000063)Termination phase: Saturation
% 1.13/0.67 % (1000063)Time elapsed: 0.080 s
% 1.13/0.67 % (1000063)Peak memory usage: 12 MB
% 1.13/0.67 % (1000063)Instructions burned: 160 (million)
% 1.13/0.67 % TRYING [6]
% 1.13/0.67 % (1000071)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=354079581:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.13/0.67 % TRYING [1]
% 1.13/0.67 % TRYING [2]
% 1.13/0.67 % TRYING [3]
% 1.13/0.67 % TRYING [4]
% 1.13/0.67 % (1000060)Instruction limit reached!
% 1.13/0.67 % (1000060)------------------------------
% 1.13/0.67 % (1000060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.67 % (1000060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.67 % (1000060)CaDiCaL version: 2.1.3
% 1.13/0.67 % (1000060)Termination reason: Instruction limit
% 1.13/0.67 % (1000060)Termination phase: Saturation
% 1.13/0.67 % (1000060)Time elapsed: 0.099 s
% 1.13/0.67 % (1000060)Peak memory usage: 12 MB
% 1.13/0.67 % (1000060)Instructions burned: 103 (million)
% 1.13/0.67 % (1000061)Instruction limit reached!
% 1.13/0.67 % (1000061)------------------------------
% 1.13/0.67 % (1000061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.67 % (1000061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.67 % (1000061)CaDiCaL version: 2.1.3
% 1.13/0.67 % (1000061)Termination reason: Instruction limit
% 1.13/0.67 % (1000061)Termination phase: Saturation
% 1.13/0.67 % (1000061)Time elapsed: 0.112 s
% 1.13/0.67 % (1000061)Peak memory usage: 12 MB
% 1.13/0.67 % (1000061)Instructions burned: 118 (million)
% 1.13/0.67 % (1000073)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1144298318:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.13/0.67 % TRYING [5]
% 1.13/0.67 % (1000062)Instruction limit reached!
% 1.13/0.67 % (1000062)------------------------------
% 1.13/0.67 % (1000062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.67 % (1000062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.67 % (1000062)CaDiCaL version: 2.1.3
% 1.13/0.67 % (1000062)Termination reason: Instruction limit
% 1.13/0.67 % (1000062)Termination phase: Saturation
% 1.13/0.67 % (1000062)Time elapsed: 0.128 s
% 1.13/0.67 % (1000062)Peak memory usage: 12 MB
% 1.13/0.67 % (1000062)Instructions burned: 131 (million)
% 1.13/0.67 % (1000073) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1000052-1000073"...
% 1.13/0.67 % (1000073)...printing done.
% 1.13/0.67 % (1000073)Refutation found. Thanks to Tanya!
% 1.13/0.67 % SZS status Unsatisfiable for theBenchmark
% 1.13/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.13/0.67 % (1000073)------------------------------
% 1.13/0.67 % (1000073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.67 % (1000073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.67 % (1000073)CaDiCaL version: 2.1.3
% 1.13/0.67 % (1000073)Termination reason: Refutation
% 1.13/0.67 % (1000073)Time elapsed: 0.011 s
% 1.13/0.67 % (1000073)Peak memory usage: 12 MB
% 1.13/0.67 % (1000073)Instructions burned: 19 (million)
% 1.13/0.67 % (1000052)Success in time 0.168 s
% 1.13/0.67 % Vampire exiting
%------------------------------------------------------------------------------