%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP452-1 : 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 : n019.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 10:17:51 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 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 : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f5,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f4]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f8,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f7,f3]) ).
fof(f9,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f12,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[],[f3,f6]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X1,divide(X0,divide(inverse(X1),X2))),divide(X3,X0))),X2) = X3,
inference(superposition,[],[f8,f8]) ).
fof(f15,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1),
inference(superposition,[],[f8,f3]) ).
fof(f17,plain,
! [X2,X0,X1] : divide(inverse(inverse(divide(X0,divide(inverse(divide(X1,X1)),X2)))),X2) = X0,
inference(superposition,[],[f8,f3]) ).
fof(f22,plain,
! [X2,X0] : divide(inverse(inverse(divide(X0,inverse(X2)))),X2) = X0,
inference(forward_demodulation,[],[f17,f9]) ).
fof(f23,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1),
inference(forward_demodulation,[],[f15,f6]) ).
fof(f25,plain,
! [X2,X0] : divide(inverse(inverse(multiply(X0,X2))),X2) = X0,
inference(forward_demodulation,[],[f22,f6]) ).
fof(f131,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f23,f23]) ).
fof(f197,plain,
! [X2,X0,X1] : divide(inverse(X1),X2) = divide(inverse(divide(X1,divide(X0,X0))),X2),
inference(superposition,[],[f8,f131]) ).
fof(f199,plain,
! [X0,X1] : divide(X0,X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f6,f131]) ).
fof(f200,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
inference(superposition,[],[f3,f131]) ).
fof(f239,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X2,divide(inverse(X1),divide(inverse(X2),X3))),multiply(X0,X1))),X3) = X0,
inference(superposition,[],[f13,f6]) ).
fof(f248,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X0,X2))) = divide(inverse(divide(divide(X1,divide(X2,divide(inverse(X1),X3))),X0)),X3),
inference(superposition,[],[f13,f25]) ).
fof(f251,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(divide(X1,divide(X2,divide(inverse(X1),X3))),divide(X0,X0))),X3) = inverse(multiply(X4,divide(inverse(X4),X2))),
inference(superposition,[],[f13,f23]) ).
fof(f260,plain,
! [X2,X3,X1,X4] : inverse(multiply(X4,divide(inverse(X4),X2))) = divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3),
inference(forward_demodulation,[],[f251,f197]) ).
fof(f271,plain,
! [X0,X1] : inverse(inverse(multiply(multiply(X0,X1),inverse(X1)))) = X0,
inference(forward_demodulation,[],[f239,f248]) ).
fof(f293,plain,
! [X2,X4] : inverse(multiply(X4,divide(inverse(X4),X2))) = X2,
inference(forward_demodulation,[],[f260,f8]) ).
fof(f339,plain,
! [X0] : a2 != multiply(divide(X0,X0),a2),
inference(superposition,[],[f5,f199]) ).
fof(f341,plain,
a2 != inverse(inverse(a2)),
inference(forward_demodulation,[],[f339,f12]) ).
fof(f464,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(X1,divide(X0,X0))),
inference(superposition,[],[f293,f131]) ).
fof(f903,plain,
! [X2,X0,X1] : inverse(inverse(multiply(multiply(X1,divide(X2,X2)),divide(X0,X0)))) = X1,
inference(superposition,[],[f271,f200]) ).
fof(f946,plain,
! [X2,X1] : inverse(inverse(multiply(X1,divide(X2,X2)))) = X1,
inference(forward_demodulation,[],[f903,f464]) ).
fof(f958,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f946,f464]) ).
fof(f977,plain,
a2 != a2,
inference(superposition,[],[f341,f958]) ).
fof(f994,plain,
$false,
inference(trivial_inequality_removal,[],[f977]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP452-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n019.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 10:05:04 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 0.18/0.51 % (2854838)Will run a generic schedule for satisfiability detection.
% 0.18/0.51 % (2854845)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2913840557:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.51 % (2854844)% WARNING: option uhcvi not known.
% 0.18/0.51 % (2854843)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2549985735_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.51 % (2854846)dis+10_1_sil=32000:sp=arity:random_seed=3780122786:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.51 % (2854844)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2761667292:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.51 % (2854847)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1553787587:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.51 % (2854848)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2337907772:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.51 % (2854849)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=321005736:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.51 % TRYING [1]
% 0.18/0.51 % TRYING [2]
% 0.18/0.51 % TRYING [3]
% 0.18/0.51 % TRYING [4]
% 0.18/0.51 % (2854847) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2854838-2854847"...
% 0.18/0.51 % (2854847)...printing done.
% 0.18/0.51 % (2854847)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (2854847)------------------------------
% 0.18/0.51 % (2854847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.51 % (2854847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.51 % (2854847)CaDiCaL version: 2.1.3
% 0.18/0.51 % (2854847)Termination reason: Refutation
% 0.18/0.51 % (2854847)Time elapsed: 0.024 s
% 0.18/0.51 % (2854847)Peak memory usage: 12 MB
% 0.18/0.51 % (2854847)Instructions burned: 39 (million)
% 0.18/0.51 % (2854838)Success in time 0.065 s
% 0.18/0.51 % Vampire exiting
%------------------------------------------------------------------------------