%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP585-1 : 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 : n010.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 10:18:09 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X0))),X3) = double_divide(X1,inverse(double_divide(inverse(X0),X2))),
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),inverse(double_divide(X0,inverse(double_divide(inverse(X1),X2))))) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f22,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X1),X2),inverse(double_divide(inverse(X0),X2))),inverse(X0)) = X1,
inference(superposition,[],[f11,f11]) ).
fof(f31,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(double_divide(inverse(X1),X2),X2),inverse(X0)))) = X1,
inference(superposition,[],[f22,f1]) ).
fof(f47,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(inverse(X0),X2))) = double_divide(double_divide(double_divide(inverse(X0),X3),X3),inverse(double_divide(X1,X2))),
inference(superposition,[],[f1,f31]) ).
fof(f88,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(inverse(X0),X1),X1),inverse(double_divide(inverse(X2),inverse(double_divide(double_divide(inverse(X2),X3),X3))))) = X0,
inference(superposition,[],[f31,f47]) ).
fof(f95,plain,
! [X2,X3,X0] : double_divide(inverse(X2),inverse(double_divide(inverse(X0),inverse(double_divide(double_divide(inverse(X2),X3),X3))))) = X0,
inference(forward_demodulation,[],[f88,f47]) ).
fof(f107,plain,
! [X2,X0,X1] : double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(inverse(X1),X2),X2))),inverse(X0)) = X0,
inference(superposition,[],[f95,f1]) ).
fof(f143,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(inverse(X1),X2),X2))),inverse(double_divide(inverse(X3),inverse(X0)))))) = X3,
inference(superposition,[],[f11,f107]) ).
fof(f148,plain,
! [X3,X0] : double_divide(X0,inverse(double_divide(inverse(X3),inverse(X0)))) = X3,
inference(forward_demodulation,[],[f143,f107]) ).
fof(f265,plain,
! [X0,X1] : double_divide(double_divide(X1,inverse(X1)),inverse(X0)) = X0,
inference(superposition,[],[f148,f1]) ).
fof(f300,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))) = X0,
inference(superposition,[],[f265,f148]) ).
fof(f353,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(inverse(X2),inverse(double_divide(X1,inverse(X1)))))),inverse(X2)) = X0,
inference(superposition,[],[f22,f300]) ).
fof(f374,plain,
! [X2,X0] : double_divide(double_divide(X0,inverse(X2)),inverse(X2)) = X0,
inference(forward_demodulation,[],[f353,f300]) ).
fof(f386,plain,
! [X0,X1] : double_divide(X1,inverse(X1)) = double_divide(X0,inverse(X0)),
inference(superposition,[],[f374,f265]) ).
fof(f459,plain,
! [X0] : inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(X0,inverse(X0))),
inference(superposition,[],[f4,f386]) ).
fof(f535,plain,
$false,
inference(equality_resolution,[],[f459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP585-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n010.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
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 10:08:01 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
% 0.18/0.50 % (728339)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (728347)dis+10_1_sil=32000:sp=arity:random_seed=1231538404:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % (728344)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3047308237_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % (728346)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2371534765:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (728349)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1630471472:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (728348)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4240547151:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (728345)% WARNING: option uhcvi not known.
% 0.18/0.50 % TRYING [1]
% 0.18/0.50 % TRYING [2]
% 0.18/0.50 % TRYING [3]
% 0.18/0.50 % (728345)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2671980530:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % (728350)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1098041617:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % TRYING [4]
% 0.18/0.50 % (728346) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-728339-728346"...
% 0.18/0.50 % (728346)...printing done.
% 0.18/0.50 % (728347)Instruction limit reached!
% 0.18/0.50 % (728347)------------------------------
% 0.18/0.50 % (728347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.50 % (728347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.50 % (728347)CaDiCaL version: 2.1.3
% 0.18/0.50 % (728347)Termination reason: Instruction limit
% 0.18/0.50 % (728347)Termination phase: Saturation
% 0.18/0.50 % (728347)Time elapsed: 0.031 s
% 0.18/0.50 % (728347)Peak memory usage: 12 MB
% 0.18/0.50 % (728347)Instructions burned: 103 (million)
% 0.18/0.50 % (728346)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (728346)------------------------------
% 0.18/0.50 % (728346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.50 % (728346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.50 % (728346)CaDiCaL version: 2.1.3
% 0.18/0.50 % (728346)Termination reason: Refutation
% 0.18/0.50 % (728346)Time elapsed: 0.023 s
% 0.18/0.50 % (728346)Peak memory usage: 12 MB
% 0.18/0.50 % (728346)Instructions burned: 37 (million)
% 0.18/0.50 % (728339)Success in time 0.057 s
% 0.18/0.50 % Vampire exiting
%------------------------------------------------------------------------------