%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP577-1 : 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 : n009.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 10:14:54 AM UTC 2026
% Result : Unsatisfiable 3.36s 1.36s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 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 : 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 : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f6,plain,
identity != multiply(inverse(a1),a1),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f7,f3]) ).
fof(f9,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[],[f7,f4]) ).
fof(f12,plain,
identity != inverse(identity),
inference(superposition,[],[f6,f9]) ).
fof(f23,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f24,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f23,f3]) ).
fof(f40,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(inverse(X0),X1),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[],[f24,f3]) ).
fof(f46,plain,
! [X0,X1] : identity = double_divide(double_divide(X1,double_divide(inverse(double_divide(X0,X1)),inverse(X0))),inverse(identity)),
inference(superposition,[],[f24,f3]) ).
fof(f47,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)),
inference(superposition,[],[f24,f4]) ).
fof(f53,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)),
inference(forward_demodulation,[],[f47,f7]) ).
fof(f54,plain,
! [X0,X1] : identity = double_divide(double_divide(X1,double_divide(multiply(X1,X0),inverse(X0))),inverse(identity)),
inference(forward_demodulation,[],[f46,f7]) ).
fof(f58,plain,
! [X0] : multiply(X0,identity) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(superposition,[],[f53,f4]) ).
fof(f66,plain,
! [X0] : multiply(X0,identity) = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f58,f3]) ).
fof(f83,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)),
inference(superposition,[],[f24,f54]) ).
fof(f89,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(identity)) = double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)),
inference(forward_demodulation,[],[f83,f3]) ).
fof(f92,plain,
! [X0,X1] : multiply(X0,identity) = double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)),
inference(forward_demodulation,[],[f89,f66]) ).
fof(f160,plain,
! [X0] : double_divide(multiply(inverse(identity),X0),inverse(X0)) = double_divide(double_divide(identity,identity),inverse(identity)),
inference(superposition,[],[f40,f54]) ).
fof(f167,plain,
! [X0] : double_divide(inverse(identity),inverse(identity)) = double_divide(multiply(inverse(identity),X0),inverse(X0)),
inference(forward_demodulation,[],[f160,f3]) ).
fof(f169,plain,
! [X0] : multiply(identity,identity) = double_divide(multiply(inverse(identity),X0),inverse(X0)),
inference(forward_demodulation,[],[f167,f66]) ).
fof(f170,plain,
! [X0] : inverse(inverse(identity)) = double_divide(multiply(inverse(identity),X0),inverse(X0)),
inference(forward_demodulation,[],[f169,f8]) ).
fof(f220,plain,
! [X0] : multiply(inverse(identity),identity) = double_divide(multiply(identity,X0),inverse(X0)),
inference(superposition,[],[f92,f4]) ).
fof(f233,plain,
! [X0] : multiply(inverse(identity),identity) = double_divide(inverse(inverse(X0)),inverse(X0)),
inference(forward_demodulation,[],[f220,f8]) ).
fof(f235,plain,
! [X0] : inverse(identity) = double_divide(inverse(inverse(X0)),inverse(X0)),
inference(forward_demodulation,[],[f233,f9]) ).
fof(f246,plain,
! [X0] : inverse(inverse(identity)) = multiply(inverse(X0),inverse(inverse(X0))),
inference(superposition,[],[f7,f235]) ).
fof(f253,plain,
inverse(inverse(identity)) = double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity)))),
inference(superposition,[],[f170,f246]) ).
fof(f262,plain,
identity = inverse(inverse(identity)),
inference(forward_demodulation,[],[f253,f4]) ).
fof(f269,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(superposition,[],[f235,f262]) ).
fof(f302,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f269,f4]) ).
fof(f317,plain,
$false,
inference(forward_subsumption_resolution,[],[f302,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP577-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:07:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.36/1.36 % (1794167)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.36/1.36 % (1794173)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=572306094:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.36/1.36 % (1794178)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2065575969:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.36/1.36 % (1794174)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1617732486:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.36/1.36 % (1794177)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=614158451:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.36/1.36 % (1794172)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=3825649345:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.36/1.36 % (1794176)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=160957223:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.36/1.36 % (1794175)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=911970473:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.36/1.36 % (1794178)First to succeed.
% 3.36/1.36 % (1794178)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1794167"
% 3.36/1.36 % (1794176)Also succeeded, but the first one will report.
% 3.36/1.36 % (1794175)Also succeeded, but the first one will report.
% 3.36/1.36 % (1794177)Also succeeded, but the first one will report.
% 3.36/1.36 % (1794178)Refutation found. Thanks to Tanya!
% 3.36/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.36/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/1.36 % (1794178)------------------------------
% 3.36/1.36 % (1794178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.36 % (1794178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.36 % (1794178)CaDiCaL version: 2.1.3
% 3.36/1.36 % (1794178)Termination reason: Refutation
% 3.36/1.36 % (1794178)Time elapsed: 0.009 s
% 3.36/1.36 % (1794178)Peak memory usage: 88 MB
% 3.36/1.36 % (1794178)Instructions burned: 13 (million)
% 3.36/1.36 % (1794178)------------------------------
% 3.36/1.36 % (1794178)------------------------------
% 3.36/1.36 % (1794167)Success in time 0.406 s
% 3.36/1.36 % Vampire exiting
%------------------------------------------------------------------------------