%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP524-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 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 10:18:01 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
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,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f5,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : divide(X1,divide(divide(X2,divide(X0,divide(X1,X2))),divide(X3,X0))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X2,X0,X1] : divide(X1,divide(divide(X0,divide(X2,X1)),X0)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X0,divide(X1,inverse(divide(X0,X1)))),
inference(superposition,[],[f1,f3]) ).
fof(f15,plain,
! [X2,X0,X1] : divide(X1,inverse(divide(X0,divide(X1,divide(X2,X2))))) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f19,plain,
! [X2,X0,X1] : inverse(divide(X1,divide(X0,divide(divide(X2,X2),X1)))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f22,plain,
! [X0,X1] : inverse(divide(X1,divide(X0,inverse(X1)))) = X0,
inference(forward_demodulation,[],[f19,f3]) ).
fof(f32,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f34,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(divide(X1,X1),X0),
inference(superposition,[],[f32,f3]) ).
fof(f36,plain,
! [X0,X1] : inverse(divide(X1,multiply(X0,X1))) = X0,
inference(superposition,[],[f22,f32]) ).
fof(f39,plain,
! [X2,X0,X1] : divide(X0,divide(inverse(X1),divide(X2,multiply(X0,X1)))) = X2,
inference(superposition,[],[f1,f32]) ).
fof(f85,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X1))) = X0,
inference(superposition,[],[f12,f3]) ).
fof(f99,plain,
! [X0,X1] : multiply(X1,divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f85,f32]) ).
fof(f113,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X0,multiply(X1,divide(X0,X1))),
inference(forward_demodulation,[],[f13,f32]) ).
fof(f114,plain,
! [X2,X0] : divide(X2,X2) = divide(X0,X0),
inference(forward_demodulation,[],[f113,f99]) ).
fof(f130,plain,
! [X0,X1] : multiply(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f99,f114]) ).
fof(f157,plain,
! [X2,X0,X1] : multiply(X1,divide(X0,divide(X1,divide(X2,X2)))) = X0,
inference(forward_demodulation,[],[f15,f32]) ).
fof(f191,plain,
! [X2,X0,X1] : inverse(inverse(divide(X0,divide(divide(X1,X1),divide(X2,X2))))) = X0,
inference(superposition,[],[f34,f157]) ).
fof(f192,plain,
! [X2,X0] : inverse(inverse(divide(X0,inverse(divide(X2,X2))))) = X0,
inference(forward_demodulation,[],[f191,f3]) ).
fof(f205,plain,
! [X2,X0] : inverse(inverse(multiply(X0,divide(X2,X2)))) = X0,
inference(forward_demodulation,[],[f192,f32]) ).
fof(f211,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f205,f130]) ).
fof(f215,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(superposition,[],[f211,f36]) ).
fof(f237,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[],[f157,f39]) ).
fof(f275,plain,
! [X2,X3,X0,X1] : divide(X0,divide(divide(X1,inverse(divide(X0,X1))),divide(X3,inverse(divide(X2,X2))))) = X3,
inference(superposition,[],[f11,f5]) ).
fof(f318,plain,
! [X2,X3,X0,X1] : divide(X0,divide(divide(X1,inverse(divide(X0,X1))),multiply(X3,divide(X2,X2)))) = X3,
inference(forward_demodulation,[],[f275,f32]) ).
fof(f331,plain,
! [X3,X0,X1] : divide(X0,divide(divide(X1,inverse(divide(X0,X1))),X3)) = X3,
inference(forward_demodulation,[],[f318,f130]) ).
fof(f336,plain,
! [X3,X0,X1] : divide(X0,divide(multiply(X1,divide(X0,X1)),X3)) = X3,
inference(forward_demodulation,[],[f331,f32]) ).
fof(f337,plain,
! [X3,X0] : divide(X0,divide(X0,X3)) = X3,
inference(forward_demodulation,[],[f336,f99]) ).
fof(f414,plain,
! [X0,X1] : multiply(divide(X1,X0),X0) = X1,
inference(superposition,[],[f99,f337]) ).
fof(f1000,plain,
! [X0,X1] : inverse(inverse(X1)) = divide(multiply(X0,X1),X0),
inference(superposition,[],[f215,f237]) ).
fof(f1025,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f1000,f211]) ).
fof(f1054,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f414,f1025]) ).
fof(f1155,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f4,f1054]) ).
fof(f1156,plain,
$false,
inference(trivial_inequality_removal,[],[f1155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP524-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n005.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 10:06:32 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.44 Running first-order model finding
% 0.14/0.44 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
% 0.19/0.47 % (3766784)Will run a generic schedule for satisfiability detection.
% 0.19/0.47 % (3766795)dis+10_1_sil=32000:sp=arity:random_seed=3437191177:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.19/0.47 % (3766793)% WARNING: option uhcvi not known.
% 0.19/0.47 % (3766792)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2401575008_3000 on theBenchmark for (3000ds/0Mi)
% 0.19/0.47 % (3766796)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2486347542:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.19/0.47 % (3766793)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1192074615:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.19/0.47 % (3766794)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4127188097:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.19/0.47 % (3766797)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3834265753:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.19/0.47 % (3766798)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=203506454:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.19/0.47 % TRYING [1]
% 0.19/0.47 % TRYING [2]
% 0.19/0.47 % TRYING [3]
% 0.19/0.47 % TRYING [4]
% 0.19/0.47 % (3766795) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3766784-3766795"...
% 0.19/0.47 % (3766795)...printing done.
% 0.19/0.47 % (3766795)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (3766795)------------------------------
% 0.19/0.47 % (3766795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.47 % (3766795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.47 % (3766795)CaDiCaL version: 2.1.3
% 0.19/0.47 % (3766795)Termination reason: Refutation
% 0.19/0.47 % (3766795)Time elapsed: 0.013 s
% 0.19/0.47 % (3766795)Peak memory usage: 11 MB
% 0.19/0.47 % (3766795)Instructions burned: 41 (million)
% 0.19/0.47 % (3766784)Success in time 0.027 s
% 0.19/0.47 % Vampire exiting
%------------------------------------------------------------------------------