%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP021-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 10:16:23 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.35s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 12 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function1) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function2) ).
fof(f9,negated_conjecture,
multiply(a,inverse(a)) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_X_times_inverse_X_is_id) ).
fof(f10,plain,
identity != multiply(a,inverse(a)),
inference(reorient_equations,[],[f9]) ).
fof(f14,plain,
! [X0,X1] :
( ~ product(X0,inverse(X0),X1)
| identity = X1 ),
inference(resolution,[],[f6,f4]) ).
fof(f44,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f14,f5]) ).
fof(f59,plain,
identity != identity,
inference(superposition,[],[f10,f44]) ).
fof(f60,plain,
$false,
inference(trivial_inequality_removal,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 09:13:35 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 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
% 0.07/0.35 % (2099713)Will run a generic schedule for satisfiability detection.
% 0.07/0.35 % (2099719)% WARNING: option uhcvi not known.
% 0.07/0.35 % (2099722)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1885454924:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.35 % (2099721)dis+10_1_sil=32000:sp=arity:random_seed=1714472636:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.35 % (2099718)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3946061384_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.35 % (2099720)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3492828186:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.35 % (2099719)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3072744844:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.35 % (2099723)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3393341283:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.35 % (2099724)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3316842488:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.35 % TRYING [1]
% 0.07/0.35 % TRYING [2]
% 0.07/0.35 % (2099721) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2099713-2099721"...
% 0.07/0.35 % TRYING [3]
% 0.07/0.35 % (2099724) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2099713-2099724"...
% 0.07/0.35 % (2099723) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2099713-2099723"...
% 0.07/0.35 % (2099721)...printing done.
% 0.07/0.35 % TRYING [4]
% 0.07/0.35 % (2099720) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2099713-2099720"...
% 0.07/0.35 % (2099724)...printing done.
% 0.07/0.35 % (2099719) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2099713-2099719"...
% 0.07/0.35 % (2099721)Refutation found. Thanks to Tanya!
% 0.07/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.35 % (2099721)------------------------------
% 0.07/0.35 % (2099721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.35 % (2099721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.35 % (2099721)CaDiCaL version: 2.1.3
% 0.07/0.35 % (2099721)Termination reason: Refutation
% 0.07/0.35 % (2099721)Time elapsed: 0.001 s
% 0.07/0.35 % (2099721)Peak memory usage: 11 MB
% 0.07/0.35 % (2099721)Instructions burned: 2 (million)
% 0.07/0.35 % (2099713)Success in time 0.024 s
% 0.07/0.35 % Vampire exiting
%------------------------------------------------------------------------------