%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP175-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 10:17:03 AM UTC 2026
% Result : Unsatisfiable 0.43s 0.47s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).
fof(f17,axiom,
least_upper_bound(identity,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p06a_1) ).
fof(f18,plain,
b = least_upper_bound(identity,b),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
least_upper_bound(identity,multiply(inverse(a),multiply(b,a))) != multiply(inverse(a),multiply(b,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p06a) ).
fof(f20,plain,
multiply(inverse(a),multiply(b,a)) != least_upper_bound(identity,multiply(inverse(a),multiply(b,a))),
inference(reorient_equations,[],[f19]) ).
fof(f24,plain,
! [X0] : multiply(inverse(a),multiply(b,a)) != least_upper_bound(multiply(inverse(X0),X0),multiply(inverse(a),multiply(b,a))),
inference(superposition,[],[f20,f3]) ).
fof(f130,plain,
multiply(inverse(a),multiply(b,a)) != multiply(inverse(a),least_upper_bound(a,multiply(b,a))),
inference(superposition,[],[f24,f13]) ).
fof(f185,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f15,f1]) ).
fof(f1337,plain,
multiply(inverse(a),multiply(b,a)) != multiply(inverse(a),multiply(least_upper_bound(identity,b),a)),
inference(superposition,[],[f130,f185]) ).
fof(f1338,plain,
multiply(inverse(a),multiply(b,a)) != multiply(inverse(a),multiply(b,a)),
inference(forward_demodulation,[],[f1337,f18]) ).
fof(f1339,plain,
$false,
inference(trivial_inequality_removal,[],[f1338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP175-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:35:17 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.47 % (3738859)Will run a generic schedule for satisfiability detection.
% 0.43/0.47 % (3738867)dis+10_1_sil=32000:sp=arity:random_seed=1950488781:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.43/0.47 % (3738865)% WARNING: option uhcvi not known.
% 0.43/0.47 % (3738864)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1758913464_2999 on theBenchmark for (2999ds/0Mi)
% 0.43/0.47 % (3738866)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2209598869:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.43/0.47 % (3738868)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2428183638:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.43/0.47 % (3738869)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3359936694:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.43/0.47 % (3738870)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1843496151:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.43/0.47 % TRYING [1]
% 0.43/0.47 % TRYING [2]
% 0.43/0.47 % TRYING [3]
% 0.43/0.47 % (3738865)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1614850917:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.43/0.47 % TRYING [4]
% 0.43/0.47 % (3738867)Instruction limit reached!
% 0.43/0.47 % (3738867)------------------------------
% 0.43/0.47 % (3738867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.47 % (3738867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.47 % (3738867)CaDiCaL version: 2.1.3
% 0.43/0.47 % (3738867)Termination reason: Instruction limit
% 0.43/0.47 % (3738867)Time elapsed: 0.031 s
% 0.43/0.47 % (3738867)Peak memory usage: 12 MB
% 0.43/0.47 % (3738867)Instructions burned: 103 (million)
% 0.43/0.47 % (3738869) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3738859-3738869"...
% 0.43/0.47 % (3738869)...printing done.
% 0.43/0.47 % (3738869)Refutation found. Thanks to Tanya!
% 0.43/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.43/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.43/0.47 % (3738869)------------------------------
% 0.43/0.47 % (3738869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.47 % (3738869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.47 % (3738869)CaDiCaL version: 2.1.3
% 0.43/0.47 % (3738869)Termination reason: Refutation
% 0.43/0.47 % (3738869)Time elapsed: 0.030 s
% 0.43/0.47 % (3738869)Peak memory usage: 12 MB
% 0.43/0.47 % (3738869)Instructions burned: 48 (million)
% 0.43/0.47 % (3738859)Success in time 0.069 s
% 0.43/0.47 % Vampire exiting
%------------------------------------------------------------------------------