%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP020-1 : 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 : n015.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 0.18s 0.48s
% Output : Refutation 0.18s
% 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(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_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(inverse(a),a) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_X_times_X_is_id) ).
fof(f10,plain,
identity != multiply(inverse(a),a),
inference(reorient_equations,[],[f9]) ).
fof(f13,plain,
! [X0,X1] :
( ~ product(inverse(X0),X0,X1)
| identity = X1 ),
inference(resolution,[],[f6,f3]) ).
fof(f39,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(resolution,[],[f13,f5]) ).
fof(f48,plain,
identity != identity,
inference(superposition,[],[f10,f39]) ).
fof(f51,plain,
$false,
inference(trivial_inequality_removal,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP020-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n015.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 09:17:15 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.18/0.48 % (1383059)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (1383064)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3993638140_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % TRYING [4]
% 0.18/0.48 % (1383065)% WARNING: option uhcvi not known.
% 0.18/0.48 % TRYING [5]
% 0.18/0.48 % (1383065)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2171276125:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (1383066)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4190492453:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (1383067)dis+10_1_sil=32000:sp=arity:random_seed=1822497360:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (1383068)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3442210348:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (1383070)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1035716342:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % (1383069)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2080454354:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (1383067) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1383059-1383067"...
% 0.18/0.48 % (1383070) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1383059-1383070"...
% 0.18/0.48 % (1383069) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1383059-1383069"...
% 0.18/0.48 % (1383065) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1383059-1383065"...
% 0.18/0.48 % (1383066) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1383059-1383066"...
% 0.18/0.48 % (1383067)...printing done.
% 0.18/0.48 % (1383070)...printing done.
% 0.18/0.48 % (1383069)...printing done.
% 0.18/0.48 % (1383066)...printing done.
% 0.18/0.48 % (1383067)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (1383067)------------------------------
% 0.18/0.48 % (1383067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (1383067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (1383067)CaDiCaL version: 2.1.3
% 0.18/0.48 % (1383067)Termination reason: Refutation
% 0.18/0.48 % (1383067)Time elapsed: 0.002 s
% 0.18/0.48 % (1383067)Peak memory usage: 11 MB
% 0.18/0.48 % (1383067)Instructions burned: 2 (million)
% 0.18/0.48 % (1383059)Success in time 0.047 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------