%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP037-3 : 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 10:16:27 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 24 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
fof(f11,axiom,
! [X0] :
( ~ subgroup_member(X0)
| product(X0,another_identity,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_right_identity) ).
fof(f12,axiom,
! [X0] :
( ~ subgroup_member(X0)
| product(X0,another_inverse(X0),another_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_right_inverse) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| X3 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| X1 = X3 ),
inference(reorient_equations,[],[f15]) ).
fof(f19,axiom,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f21,negated_conjecture,
inverse(a) != another_inverse(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_inverses_are_equal) ).
fof(f32,plain,
product(a,another_identity,a),
inference(resolution,[],[f11,f19]) ).
fof(f37,plain,
product(a,another_inverse(a),another_identity),
inference(resolution,[],[f12,f19]) ).
fof(f53,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| identity = X1 ),
inference(resolution,[],[f16,f2]) ).
fof(f55,plain,
! [X0,X1] :
( ~ product(X0,X1,identity)
| inverse(X0) = X1 ),
inference(resolution,[],[f16,f4]) ).
fof(f146,plain,
identity = another_identity,
inference(resolution,[],[f53,f32]) ).
fof(f155,plain,
product(a,another_inverse(a),identity),
inference(superposition,[],[f37,f146]) ).
fof(f215,plain,
inverse(a) = another_inverse(a),
inference(resolution,[],[f155,f55]) ).
fof(f221,plain,
$false,
inference(forward_subsumption_resolution,[],[f215,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP037-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 09:15:20 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.33 Running first-order model finding
% 0.08/0.33 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
% 0.08/0.36 % (2101535)Will run a generic schedule for satisfiability detection.
% 0.08/0.36 % (2101541)% WARNING: option uhcvi not known.
% 0.08/0.36 % (2101541)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3365987397:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.36 % (2101543)dis+10_1_sil=32000:sp=arity:random_seed=4163967293:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.36 % (2101540)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2832571162_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.36 % (2101544)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3972530818:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.36 % (2101542)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=205643506:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.36 % (2101545)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2898224537:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.36 % (2101546)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4150854108:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.36 % TRYING [1]
% 0.08/0.36 % TRYING [2]
% 0.08/0.36 % TRYING [3]
% 0.08/0.36 % TRYING [4]
% 0.08/0.36 % (2101545) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2101535-2101545"...
% 0.08/0.36 % (2101543) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2101535-2101543"...
% 0.08/0.36 % (2101545)...printing done.
% 0.08/0.36 % (2101543)...printing done.
% 0.08/0.36 % (2101546) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2101535-2101546"...
% 0.08/0.36 % (2101545)Refutation found. Thanks to Tanya!
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.36 % (2101545)------------------------------
% 0.08/0.36 % (2101545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.36 % (2101545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.36 % (2101545)CaDiCaL version: 2.1.3
% 0.08/0.36 % (2101545)Termination reason: Refutation
% 0.08/0.36 % (2101545)Time elapsed: 0.003 s
% 0.08/0.36 % (2101545)Peak memory usage: 11 MB
% 0.08/0.36 % (2101545)Instructions burned: 7 (million)
% 0.08/0.36 % (2101535)Success in time 0.029 s
% 0.08/0.36 % Vampire exiting
%------------------------------------------------------------------------------