%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP455-1 : 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 : n016.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 10:14:03 AM UTC 2026
% Result : Unsatisfiable 3.58s 1.48s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,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,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f6,plain,
a2 != multiply(identity,a2),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f2,f4]) ).
fof(f40,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f44,plain,
! [X0,X1] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(superposition,[],[f40,f4]) ).
fof(f49,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(divide(identity,identity),X1))),X1) = X0,
inference(superposition,[],[f40,f2]) ).
fof(f54,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[],[f49,f4]) ).
fof(f56,plain,
! [X0,X1] : multiply(divide(identity,divide(X0,divide(X1,identity))),X0) = X1,
inference(forward_demodulation,[],[f44,f2]) ).
fof(f58,plain,
! [X0,X1] : divide(multiply(identity,multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[],[f54,f2]) ).
fof(f60,plain,
! [X0] : divide(multiply(identity,divide(X0,identity)),identity) = X0,
inference(superposition,[],[f58,f7]) ).
fof(f90,plain,
! [X0] : multiply(divide(identity,identity),divide(X0,identity)) = X0,
inference(superposition,[],[f56,f4]) ).
fof(f103,plain,
! [X0] : multiply(identity,divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f90,f4]) ).
fof(f108,plain,
! [X0] : multiply(identity,X0) = multiply(identity,divide(X0,identity)),
inference(superposition,[],[f103,f60]) ).
fof(f119,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f108,f103]) ).
fof(f165,plain,
a2 != a2,
inference(superposition,[],[f6,f119]) ).
fof(f169,plain,
$false,
inference(trivial_inequality_removal,[],[f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP455-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:10:01 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.58/1.48 % (2394864)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.58/1.48 % (2394930)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=132315125:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.58/1.48 % (2394933)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3549491932:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.58/1.48 % (2394931)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=3466140532:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.58/1.48 % (2394935)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3544816945:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.58/1.48 % (2394934)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=378854423:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.58/1.48 % (2394936)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2862828476:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.58/1.48 % (2394936)First to succeed.
% 3.58/1.48 % (2394932)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2711366576:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.58/1.48 % (2394936)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2394864"
% 3.58/1.48 % (2394934)Also succeeded, but the first one will report.
% 3.58/1.48 % (2394935)Also succeeded, but the first one will report.
% 3.58/1.48 % (2394933)Also succeeded, but the first one will report.
% 3.58/1.48 % (2394936)Refutation found. Thanks to Tanya!
% 3.58/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.48 % (2394936)------------------------------
% 3.58/1.48 % (2394936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.48 % (2394936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.48 % (2394936)CaDiCaL version: 2.1.3
% 3.58/1.48 % (2394936)Termination reason: Refutation
% 3.58/1.48 % (2394936)Time elapsed: 0.005 s
% 3.58/1.48 % (2394936)Peak memory usage: 87 MB
% 3.58/1.48 % (2394936)Instructions burned: 6 (million)
% 3.58/1.48 % (2394936)------------------------------
% 3.58/1.48 % (2394936)------------------------------
% 3.58/1.48 % (2394864)Success in time 0.42 s
% 3.58/1.48 % Vampire exiting
%------------------------------------------------------------------------------