%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP594-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 10:14:56 AM UTC 2026
% Result : Unsatisfiable 3.89s 1.53s
% Output : Refutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 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 : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1)))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f4,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
! [X2,X0,X1] : multiply(inverse(double_divide(X0,inverse(double_divide(X2,X1)))),double_divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(multiply(inverse(double_divide(X2,X1)),X0),double_divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f5,f2]) ).
fof(f7,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,X2),X0),double_divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f6,f2]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : double_divide(X2,X1) = multiply(multiply(X0,X3),double_divide(X3,multiply(multiply(X1,X0),X2))),
inference(superposition,[],[f7,f7]) ).
fof(f9,plain,
! [X2,X0,X1] : multiply(X0,double_divide(double_divide(X2,X1),multiply(X1,X0))) = X2,
inference(superposition,[],[f7,f7]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X1,X2),double_divide(double_divide(X3,multiply(multiply(X2,X0),X1)),X0)) = X3,
inference(superposition,[],[f9,f7]) ).
fof(f23,plain,
! [X2,X0,X1] : double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2) = X0,
inference(superposition,[],[f8,f9]) ).
fof(f32,plain,
! [X2,X0,X1] : double_divide(double_divide(multiply(X0,X1),X2),multiply(X2,X0)) = X1,
inference(superposition,[],[f23,f8]) ).
fof(f35,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,double_divide(X0,multiply(X1,X2)))) = inverse(X0),
inference(superposition,[],[f2,f23]) ).
fof(f46,plain,
! [X2,X0,X1] : inverse(X0) = multiply(multiply(X1,X2),double_divide(multiply(X2,X0),X1)),
inference(superposition,[],[f2,f32]) ).
fof(f103,plain,
! [X2,X0,X1] : multiply(inverse(X0),double_divide(double_divide(multiply(X2,X0),X1),X1)) = X2,
inference(superposition,[],[f7,f46]) ).
fof(f128,plain,
! [X2,X0,X1] : double_divide(X0,X2) = double_divide(multiply(X0,X1),multiply(X2,inverse(X1))),
inference(superposition,[],[f23,f103]) ).
fof(f163,plain,
! [X2,X0,X1] : multiply(X0,X2) = double_divide(multiply(inverse(X2),double_divide(X0,X1)),X1),
inference(superposition,[],[f23,f128]) ).
fof(f270,plain,
! [X2,X0,X1] : double_divide(X0,X2) = multiply(double_divide(multiply(X0,X1),X2),X1),
inference(superposition,[],[f163,f103]) ).
fof(f298,plain,
! [X2,X0,X1] : double_divide(X1,X2) = multiply(X0,double_divide(X0,multiply(X2,X1))),
inference(superposition,[],[f270,f23]) ).
fof(f338,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X0,X1)),
inference(superposition,[],[f35,f298]) ).
fof(f511,plain,
! [X2,X0,X1] : inverse(double_divide(X0,multiply(multiply(X1,double_divide(X2,X1)),X2))) = X0,
inference(superposition,[],[f10,f338]) ).
fof(f519,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,double_divide(X2,X1)),X2),X0) = X0,
inference(forward_demodulation,[],[f511,f2]) ).
fof(f535,plain,
! [X2,X0] : multiply(multiply(inverse(X2),X2),X0) = X0,
inference(forward_demodulation,[],[f519,f338]) ).
fof(f775,plain,
a2 != a2,
inference(superposition,[],[f4,f535]) ).
fof(f810,plain,
$false,
inference(trivial_inequality_removal,[],[f775]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP594-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n014.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 10:07:46 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/1.53 % (574057)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.89/1.53 % (574103)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2225960041:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.89/1.53 % (574101)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=3485009053:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.89/1.53 % (574099)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=242427396:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.89/1.53 % (574105)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4064158294:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.89/1.53 % (574106)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1974999886:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.89/1.53 % (574102)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1416717603:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.89/1.53 % (574103)Instruction limit reached!
% 3.89/1.53 % (574103)------------------------------
% 3.89/1.53 % (574103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.53 % (574103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.53 % (574103)CaDiCaL version: 2.1.3
% 3.89/1.53 % (574103)Termination reason: Instruction limit
% 3.89/1.53 % (574103)Termination phase: Saturation
% 3.89/1.53 % (574103)Time elapsed: 0.048 s
% 3.89/1.53 % (574103)Peak memory usage: 89 MB
% 3.89/1.53 % (574103)Instructions burned: 138 (million)
% 3.89/1.53 % (574108)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1057952818:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.89/1.53 % (574108)First to succeed.
% 3.89/1.53 % (574108)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-574057"
% 3.89/1.53 % (574105)Also succeeded, but the first one will report.
% 3.89/1.53 % (574154)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3669689721:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 3.89/1.53 % (574106)Instruction limit reached!
% 3.89/1.53 % (574106)------------------------------
% 3.89/1.53 % (574106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.53 % (574106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.53 % (574106)CaDiCaL version: 2.1.3
% 3.89/1.53 % (574106)Termination reason: Instruction limit
% 3.89/1.53 % (574106)Termination phase: Saturation
% 3.89/1.53 % (574106)Time elapsed: 0.168 s
% 3.89/1.53 % (574106)Peak memory usage: 91 MB
% 3.89/1.53 % (574106)Instructions burned: 257 (million)
% 3.89/1.53 % (574108)Refutation found. Thanks to Tanya!
% 3.89/1.53 % SZS status Unsatisfiable for theBenchmark
% 3.89/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 3.89/1.53 % (574108)------------------------------
% 3.89/1.53 % (574108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.53 % (574108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.53 % (574108)CaDiCaL version: 2.1.3
% 3.89/1.53 % (574108)Termination reason: Refutation
% 3.89/1.53 % (574108)Time elapsed: 0.024 s
% 3.89/1.53 % (574108)Peak memory usage: 88 MB
% 3.89/1.53 % (574108)Instructions burned: 39 (million)
% 3.89/1.53 % (574108)------------------------------
% 3.89/1.53 % (574108)------------------------------
% 3.89/1.53 % (574057)Success in time 0.466 s
% 3.89/1.53 % Vampire exiting
%------------------------------------------------------------------------------