%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP533-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 10:18:02 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f6,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(forward_demodulation,[],[f3,f4]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f8,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f7,f6]) ).
fof(f13,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f4,f8]) ).
fof(f34,plain,
identity != multiply(inverse(a1),a1),
inference(superposition,[],[f5,f13]) ).
fof(f35,plain,
$false,
inference(forward_subsumption_resolution,[],[f34,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP533-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:09:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (2599881)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (2599896)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2618494534:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.11/0.45 % (2599891)% WARNING: option uhcvi not known.
% 0.11/0.45 % (2599889)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1427783925_3000 on theBenchmark for (3000ds/0Mi)
% 0.11/0.45 % (2599894)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1305878720:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.11/0.45 % (2599892)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=166015162:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.11/0.45 % (2599893)dis+10_1_sil=32000:sp=arity:random_seed=3657955108:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.11/0.45 % (2599895)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2601126580:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % (2599894) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2599881-2599894"...
% 0.11/0.45 % (2599893) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2599881-2599893"...
% 0.11/0.45 % (2599894)...printing done.
% 0.11/0.45 % TRYING [4]
% 0.11/0.45 % (2599893)...printing done.
% 0.11/0.45 % (2599895) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2599881-2599895"...
% 0.11/0.45 % (2599894)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (2599894)------------------------------
% 0.11/0.45 % (2599894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (2599894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (2599894)CaDiCaL version: 2.1.3
% 0.11/0.45 % (2599894)Termination reason: Refutation
% 0.11/0.45 % (2599894)Time elapsed: 0.002 s
% 0.11/0.45 % (2599894)Peak memory usage: 11 MB
% 0.11/0.45 % (2599894)Instructions burned: 1 (million)
% 0.11/0.45 % (2599881)Success in time 0.026 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------