%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP448-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:14:02 AM UTC 2026
% Result : Unsatisfiable 0.17s 1.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),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,plain,
! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f6,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f4,f4]) ).
fof(f15,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f35,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f36,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f35,f4]) ).
fof(f68,plain,
! [X2,X0,X1] : inverse(divide(divide(inverse(X0),X2),divide(inverse(divide(X1,X1)),X2))) = X0,
inference(superposition,[],[f4,f36]) ).
fof(f75,plain,
! [X2,X0] : inverse(divide(divide(inverse(X0),X2),inverse(X2))) = X0,
inference(forward_demodulation,[],[f68,f6]) ).
fof(f87,plain,
! [X2,X0] : inverse(multiply(divide(inverse(X0),X2),X2)) = X0,
inference(forward_demodulation,[],[f75,f15]) ).
fof(f115,plain,
! [X0,X1] : divide(X1,X1) = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f87,f6]) ).
fof(f203,plain,
! [X0,X1] : divide(X1,X1) = divide(X0,X0),
inference(superposition,[],[f115,f115]) ).
fof(f269,plain,
! [X0,X1] : divide(X1,X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f203,f15]) ).
fof(f900,plain,
! [X0] : multiply(inverse(a1),a1) != divide(X0,X0),
inference(superposition,[],[f5,f269]) ).
fof(f908,plain,
$false,
inference(forward_subsumption_resolution,[],[f900,f269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP448-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.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 10:06:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/1.40 % (269388)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.17/1.40 % (269393)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1180253619:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.17/1.40 % (269394)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=13866957:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.17/1.40 % (269397)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4223670440:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.17/1.40 % (269396)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3505807708:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.17/1.40 % (269395)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4222616922:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.17/1.40 % (269399)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3472797324:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.17/1.40 % (269398)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3690507658:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.17/1.40 % (269399)First to succeed.
% 0.17/1.40 % (269399)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-269388"
% 0.17/1.40 % (269398)Also succeeded, but the first one will report.
% 0.17/1.40 % (269397)Also succeeded, but the first one will report.
% 0.17/1.40 % (269396)Instruction limit reached!
% 0.17/1.40 % (269396)------------------------------
% 0.17/1.40 % (269396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (269396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (269396)CaDiCaL version: 2.1.3
% 0.17/1.40 % (269396)Termination reason: Instruction limit
% 0.17/1.40 % (269396)Termination phase: Saturation
% 0.17/1.40 % (269396)Time elapsed: 0.082 s
% 0.17/1.40 % (269396)Peak memory usage: 89 MB
% 0.17/1.40 % (269396)Instructions burned: 137 (million)
% 0.17/1.40 % (269407)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4245547312:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 0.17/1.40 % (269399)Refutation found. Thanks to Tanya!
% 0.17/1.40 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.40 % (269399)------------------------------
% 0.17/1.40 % (269399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (269399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (269399)CaDiCaL version: 2.1.3
% 0.17/1.40 % (269399)Termination reason: Refutation
% 0.17/1.40 % (269399)Time elapsed: 0.018 s
% 0.17/1.40 % (269399)Peak memory usage: 88 MB
% 0.17/1.40 % (269399)Instructions burned: 28 (million)
% 0.17/1.40 % (269399)------------------------------
% 0.17/1.40 % (269399)------------------------------
% 0.17/1.40 % (269388)Success in time 0.447 s
% 0.17/1.40 % Vampire exiting
%------------------------------------------------------------------------------