%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP611-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 10:18:13 AM UTC 2026
% Result : Unsatisfiable 0.86s 0.61s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 11 ( 3 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 : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(X1,X2) = inverse(double_divide(inverse(double_divide(X0,X3)),double_divide(inverse(double_divide(inverse(double_divide(X1,X0)),X2)),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X0,X1] : inverse(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),double_divide(X1,X2)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(X1,X2),double_divide(X0,double_divide(inverse(double_divide(inverse(double_divide(X1,X0)),X2)),X3)))) = X3,
inference(superposition,[],[f6,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(X1,double_divide(inverse(double_divide(X0,X1)),X2)))) = X2,
inference(superposition,[],[f6,f5]) ).
fof(f31,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X3,double_divide(inverse(double_divide(inverse(double_divide(X1,X2)),X3)),X0))) = double_divide(X1,inverse(double_divide(X2,X0))),
inference(superposition,[],[f22,f22]) ).
fof(f32,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,X1)),double_divide(X0,inverse(double_divide(X1,X2)))) = X2,
inference(superposition,[],[f22,f5]) ).
fof(f34,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(X0),double_divide(X1,inverse(double_divide(X3,double_divide(inverse(double_divide(inverse(double_divide(X1,X2)),X3)),X0)))))) = X2,
inference(superposition,[],[f1,f22]) ).
fof(f43,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(X0),double_divide(X1,double_divide(X1,inverse(double_divide(X2,X0)))))) = X2,
inference(backward_demodulation,[],[f34,f31]) ).
fof(f101,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X1,X3)),inverse(double_divide(X2,X0))) = inverse(double_divide(double_divide(X1,X2),double_divide(X3,X0))),
inference(superposition,[],[f7,f32]) ).
fof(f144,plain,
! [X2,X0,X1] : double_divide(X1,X0) = double_divide(inverse(double_divide(X1,inverse(X2))),inverse(double_divide(X0,X2))),
inference(superposition,[],[f22,f43]) ).
fof(f155,plain,
! [X2,X0,X1] : double_divide(X1,X0) = inverse(double_divide(double_divide(X1,X0),double_divide(inverse(X2),X2))),
inference(forward_demodulation,[],[f144,f101]) ).
fof(f213,plain,
! [X3,X0] : inverse(double_divide(X0,double_divide(inverse(X3),X3))) = X0,
inference(superposition,[],[f155,f32]) ).
fof(f367,plain,
! [X2,X0,X1] : double_divide(X1,X2) = inverse(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),X2))),
inference(superposition,[],[f5,f213]) ).
fof(f408,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X1,X2)),X0) = double_divide(X1,inverse(double_divide(X2,X0))),
inference(backward_demodulation,[],[f31,f367]) ).
fof(f552,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(backward_demodulation,[],[f4,f408]) ).
fof(f553,plain,
$false,
inference(trivial_inequality_removal,[],[f552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP611-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n026.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:12:26 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/0.61 % (2606470)Will run a generic schedule for satisfiability detection.
% 0.86/0.61 % (2606487)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1844499523:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.86/0.61 % (2606483)% WARNING: option uhcvi not known.
% 0.86/0.61 % (2606483)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4055407094:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.86/0.61 % (2606482)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3501058710_2999 on theBenchmark for (2999ds/0Mi)
% 0.86/0.61 % (2606484)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3246006640:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.86/0.61 % (2606486)dis+10_1_sil=32000:sp=arity:random_seed=3691034633:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.86/0.61 % (2606488)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3670708666:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.86/0.61 % (2606489)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2994384391:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.86/0.61 % TRYING [1]
% 0.86/0.61 % TRYING [2]
% 0.86/0.61 % TRYING [3]
% 0.86/0.61 % TRYING [4]
% 0.86/0.61 % (2606487)Instruction limit reached!
% 0.86/0.61 % (2606487)------------------------------
% 0.86/0.61 % (2606487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.61 % (2606487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.61 % (2606487)CaDiCaL version: 2.1.3
% 0.86/0.61 % (2606487)Termination reason: Instruction limit
% 0.86/0.61 % (2606487)Termination phase: Saturation
% 0.86/0.61 % (2606487)Time elapsed: 0.039 s
% 0.86/0.61 % (2606487)Peak memory usage: 13 MB
% 0.86/0.61 % (2606487)Instructions burned: 118 (million)
% 0.86/0.61 % (2606517)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4103150334:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.86/0.61 % TRYING [1]
% 0.86/0.61 % TRYING [2]
% 0.86/0.61 % TRYING [3]
% 0.86/0.61 % TRYING [4]
% 0.86/0.61 % (2606486)Instruction limit reached!
% 0.86/0.61 % (2606486)------------------------------
% 0.86/0.61 % (2606486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.61 % (2606486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.61 % (2606486)CaDiCaL version: 2.1.3
% 0.86/0.61 % (2606486)Termination reason: Instruction limit
% 0.86/0.61 % (2606486)Termination phase: Saturation
% 0.86/0.61 % (2606486)Time elapsed: 0.056 s
% 0.86/0.61 % (2606486)Peak memory usage: 12 MB
% 0.86/0.61 % (2606486)Instructions burned: 103 (million)
% 0.86/0.61 % (2606534)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2422275347:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.86/0.61 % (2606488)Instruction limit reached!
% 0.86/0.61 % (2606488)------------------------------
% 0.86/0.61 % (2606488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.61 % (2606488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.61 % (2606488)CaDiCaL version: 2.1.3
% 0.86/0.61 % (2606488)Termination reason: Instruction limit
% 0.86/0.61 % (2606488)Termination phase: Saturation
% 0.86/0.61 % (2606488)Time elapsed: 0.083 s
% 0.86/0.61 % (2606488)Peak memory usage: 13 MB
% 0.86/0.61 % (2606488)Instructions burned: 132 (million)
% 0.86/0.61 % (2606542)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3387584459:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.86/0.61 % (2606489)Instruction limit reached!
% 0.86/0.61 % (2606489)------------------------------
% 0.86/0.61 % (2606489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.61 % (2606489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.61 % (2606489)CaDiCaL version: 2.1.3
% 0.86/0.61 % (2606489)Termination reason: Instruction limit
% 0.86/0.61 % (2606489)Termination phase: Saturation
% 0.86/0.61 % (2606489)Time elapsed: 0.110 s
% 0.86/0.61 % (2606489)Peak memory usage: 13 MB
% 0.86/0.61 % (2606489)Instructions burned: 159 (million)
% 0.86/0.61 % TRYING [5]
% 0.86/0.61 % (2606534) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2606470-2606534"...
% 0.86/0.61 % (2606534)...printing done.
% 0.86/0.61 % (2606547)ott-21_1_sil=16000:fs=off:random_seed=1188013688:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.86/0.61 % (2606534)Refutation found. Thanks to Tanya!
% 0.86/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.86/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.86/0.61 % (2606534)------------------------------
% 0.86/0.61 % (2606534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.61 % (2606534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.61 % (2606534)CaDiCaL version: 2.1.3
% 0.86/0.61 % (2606534)Termination reason: Refutation
% 0.86/0.61 % (2606534)Time elapsed: 0.054 s
% 0.86/0.61 % (2606534)Peak memory usage: 12 MB
% 0.86/0.61 % (2606534)Instructions burned: 81 (million)
% 0.86/0.61 % (2606470)Success in time 0.172 s
% 0.86/0.61 % Vampire exiting
%------------------------------------------------------------------------------