%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP028-4 : 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 : n016.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 10:16:25 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f3,axiom,
! [X0,X1] : product(left_solution(X0,X1),X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_soln) ).
fof(f4,axiom,
! [X0,X1] : product(X0,right_solution(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_soln) ).
fof(f5,negated_conjecture,
! [X0] : ~ product(not_identity(X0),X0,not_identity(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] :
( product(X1,X3,X4)
| product(X0,X1,X2)
| product(X0,X4,X5)
| ~ product(X2,X3,X5) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f8,plain,
! [X0,X1] : ~ product(left_solution(X0,X1),X0,X1),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f9,plain,
! [X0,X1] : ~ product(X0,right_solution(X0,X1),X1),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f10,plain,
! [X0] : product(not_identity(X0),X0,not_identity(X0)),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] :
( product(X0,X3,X4)
| product(X0,X1,X2)
| ~ product(X2,right_solution(X1,X3),X4) ),
inference(resolution,[],[f6,f9]) ).
fof(f14,plain,
! [X2,X3,X0,X1] :
( product(left_solution(X0,X1),X2,X3)
| ~ product(X3,right_solution(X2,X0),X1) ),
inference(resolution,[],[f12,f8]) ).
fof(f16,plain,
! [X0,X1] : ~ product(X0,right_solution(X1,X1),X0),
inference(resolution,[],[f14,f8]) ).
fof(f18,plain,
$false,
inference(resolution,[],[f16,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP028-4 : 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 : n016.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 09:20:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.46 % (2355301)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (2355307)% WARNING: option uhcvi not known.
% 0.12/0.46 % (2355312)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3887018347:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (2355312) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2355301-2355312"...
% 0.12/0.46 % (2355308)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2834310192:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (2355306)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3317042271_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % (2355309)dis+10_1_sil=32000:sp=arity:random_seed=3327612048:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (2355310)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=653787747:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (2355307)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1850947763:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (2355312)...printing done.
% 0.12/0.46 % (2355312)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (2355312)------------------------------
% 0.12/0.46 % (2355312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (2355312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (2355312)CaDiCaL version: 2.1.3
% 0.12/0.46 % (2355312)Termination reason: Refutation
% 0.12/0.46 % (2355312)Time elapsed: 0.001 s
% 0.12/0.46 % (2355312)Peak memory usage: 11 MB
% 0.12/0.46 % (2355312)Instructions burned: 1 (million)
% 0.12/0.46 % (2355301)Success in time 0.03 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------