%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP602-1 : 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 : n017.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 10:14:57 AM UTC 2026
% Result : Unsatisfiable 3.38s 1.22s
% Output : Refutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
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(X2,inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2)))))) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(double_divide(X1,double_divide(X0,X2))),X0)) = X1,
inference(forward_demodulation,[],[f5,f2]) ).
fof(f7,plain,
! [X2,X0,X1] : multiply(X2,multiply(multiply(double_divide(X0,X2),X1),X0)) = X1,
inference(forward_demodulation,[],[f6,f2]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : multiply(multiply(double_divide(X3,double_divide(X2,X1)),X0),X3) = multiply(X1,multiply(X0,X2)),
inference(superposition,[],[f7,f7]) ).
fof(f10,plain,
! [X2,X0,X1] : multiply(double_divide(X2,X0),multiply(X0,multiply(X1,X2))) = X1,
inference(superposition,[],[f7,f8]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : multiply(double_divide(multiply(multiply(double_divide(X1,X2),X0),X1),X3),multiply(X3,X0)) = X2,
inference(superposition,[],[f10,f7]) ).
fof(f14,plain,
! [X2,X3,X0,X1] : double_divide(X2,X1) = multiply(double_divide(multiply(X1,multiply(X0,X2)),X3),multiply(X3,X0)),
inference(superposition,[],[f10,f10]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4] : multiply(double_divide(X3,multiply(double_divide(multiply(X4,X3),double_divide(X2,X0)),X1)),multiply(X0,multiply(X1,X2))) = X4,
inference(superposition,[],[f10,f8]) ).
fof(f16,plain,
! [X2,X0,X1] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(superposition,[],[f10,f10]) ).
fof(f61,plain,
! [X2,X0,X1] : double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)) = X0,
inference(superposition,[],[f14,f12]) ).
fof(f126,plain,
! [X2,X0,X1] : double_divide(multiply(X2,X0),double_divide(X0,multiply(X1,X2))) = X1,
inference(superposition,[],[f61,f14]) ).
fof(f154,plain,
! [X2,X0,X1] : inverse(X0) = multiply(double_divide(X1,multiply(X0,X2)),multiply(X2,X1)),
inference(superposition,[],[f2,f126]) ).
fof(f270,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X1))) = X0,
inference(superposition,[],[f154,f15]) ).
fof(f292,plain,
! [X2,X0,X1] : multiply(double_divide(X2,X1),multiply(X0,multiply(X1,X2))) = X0,
inference(forward_demodulation,[],[f270,f2]) ).
fof(f308,plain,
! [X2,X3,X0,X1] : multiply(double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),multiply(X3,inverse(X0))) = X3,
inference(superposition,[],[f292,f154]) ).
fof(f352,plain,
! [X3,X0] : multiply(X0,multiply(X3,inverse(X0))) = X3,
inference(forward_demodulation,[],[f308,f126]) ).
fof(f360,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),X1),X0) = X0,
inference(superposition,[],[f352,f7]) ).
fof(f362,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),X0),X0) = X1,
inference(superposition,[],[f292,f352]) ).
fof(f394,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f360,f292]) ).
fof(f490,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f362,f154]) ).
fof(f519,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f490,f2]) ).
fof(f520,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(superposition,[],[f362,f490]) ).
fof(f709,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(X1,double_divide(X0,X1)),
inference(superposition,[],[f519,f520]) ).
fof(f711,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f709,f490]) ).
fof(f737,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f16,f711]) ).
fof(f988,plain,
a2 != multiply(a2,multiply(inverse(b2),b2)),
inference(superposition,[],[f4,f737]) ).
fof(f997,plain,
a2 != multiply(a2,multiply(b2,inverse(b2))),
inference(forward_demodulation,[],[f988,f737]) ).
fof(f1054,plain,
$false,
inference(forward_subsumption_resolution,[],[f997,f394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP602-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:03:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.38/1.22 % (2313140)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.38/1.22 % (2313197)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1669841752:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 3.38/1.22 % (2313198)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3525800719:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 3.38/1.22 % (2313193)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=2471972017:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 3.38/1.22 % (2313195)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1337133382:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 3.38/1.22 % (2313196)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3850066540:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 3.38/1.22 % (2313192)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=1305231001:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 3.38/1.22 % (2313194)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1942208537:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 3.38/1.22 % (2313198)First to succeed.
% 3.38/1.22 % (2313198)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2313140"
% 3.38/1.22 % (2313197)Also succeeded, but the first one will report.
% 3.38/1.22 % (2313195)Instruction limit reached!
% 3.38/1.22 % (2313195)------------------------------
% 3.38/1.22 % (2313195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.22 % (2313195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.22 % (2313195)CaDiCaL version: 2.1.3
% 3.38/1.22 % (2313195)Termination reason: Instruction limit
% 3.38/1.22 % (2313195)Termination phase: Saturation
% 3.38/1.22 % (2313195)Time elapsed: 0.083 s
% 3.38/1.22 % (2313195)Peak memory usage: 89 MB
% 3.38/1.22 % (2313195)Instructions burned: 136 (million)
% 3.38/1.22 % (2313196)Instruction limit reached!
% 3.38/1.22 % (2313196)------------------------------
% 3.38/1.22 % (2313196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.22 % (2313196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.22 % (2313196)CaDiCaL version: 2.1.3
% 3.38/1.22 % (2313196)Termination reason: Instruction limit
% 3.38/1.22 % (2313196)Termination phase: Saturation
% 3.38/1.22 % (2313196)Time elapsed: 0.107 s
% 3.38/1.22 % (2313196)Peak memory usage: 90 MB
% 3.38/1.22 % (2313196)Instructions burned: 181 (million)
% 3.38/1.22 % (2313206)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2555970631:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.38/1.22 % (2313207)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3629670977:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 3.38/1.22 % (2313198)Refutation found. Thanks to Tanya!
% 3.38/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.38/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.38/1.22 % (2313198)------------------------------
% 3.38/1.22 % (2313198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.22 % (2313198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.22 % (2313198)CaDiCaL version: 2.1.3
% 3.38/1.22 % (2313198)Termination reason: Refutation
% 3.38/1.22 % (2313198)Time elapsed: 0.032 s
% 3.38/1.22 % (2313198)Peak memory usage: 88 MB
% 3.38/1.22 % (2313198)Instructions burned: 52 (million)
% 3.38/1.22 % (2313198)------------------------------
% 3.38/1.22 % (2313198)------------------------------
% 3.38/1.22 % (2313140)Success in time 0.413 s
% 3.38/1.22 % Vampire exiting
%------------------------------------------------------------------------------