%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP599-1 : 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 : n011.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 5.58s 1.75s
% Output : Refutation 5.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of formulae : 68 ( 68 unt; 8 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,definition,
sF0 = double_divide(b3,a3),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f6,plain,
double_divide(b3,a3) = sF0,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF1 = inverse(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
inverse(sF0) = sF1,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF2 = double_divide(c3,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f10,plain,
double_divide(c3,sF1) = sF2,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF3 = inverse(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f12,plain,
inverse(sF2) = sF3,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF4 = double_divide(c3,b3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f14,plain,
double_divide(c3,b3) = sF4,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF5 = inverse(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f16,plain,
inverse(sF4) = sF5,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF6 = double_divide(sF5,a3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f18,plain,
double_divide(sF5,a3) = sF6,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF7 = inverse(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f20,plain,
inverse(sF6) = sF7,
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
sF3 != sF7,
inference(definition_folding,[],[f4,f20,f18,f16,f14,f12,f10,f8,f6]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(X1,X2),inverse(double_divide(inverse(X3),inverse(double_divide(X1,inverse(double_divide(inverse(X0),X2))))))))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f26,plain,
! [X0] : double_divide(sF6,inverse(double_divide(sF5,inverse(double_divide(inverse(X0),a3))))) = X0,
inference(superposition,[],[f1,f18]) ).
fof(f60,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(inverse(inverse(X3)),X2))))),inverse(X0)))) = X3,
inference(superposition,[],[f22,f22]) ).
fof(f65,plain,
! [X3,X0] : double_divide(X0,inverse(double_divide(inverse(X3),inverse(X0)))) = X3,
inference(forward_demodulation,[],[f60,f1]) ).
fof(f77,plain,
! [X0,X1] : double_divide(double_divide(X1,inverse(X1)),inverse(X0)) = X0,
inference(superposition,[],[f1,f65]) ).
fof(f102,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))) = X0,
inference(superposition,[],[f65,f77]) ).
fof(f109,plain,
! [X0] : sF0 = double_divide(sF1,inverse(double_divide(X0,inverse(X0)))),
inference(superposition,[],[f102,f8]) ).
fof(f111,plain,
! [X0] : sF4 = double_divide(sF5,inverse(double_divide(X0,inverse(X0)))),
inference(superposition,[],[f102,f16]) ).
fof(f127,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(double_divide(inverse(X2),inverse(double_divide(X1,inverse(X1)))))))) = X2,
inference(superposition,[],[f1,f102]) ).
fof(f128,plain,
! [X2,X0] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(X2)))) = X2,
inference(forward_demodulation,[],[f127,f102]) ).
fof(f142,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = double_divide(inverse(X0),inverse(inverse(X1))),
inference(superposition,[],[f128,f65]) ).
fof(f150,plain,
! [X2,X0,X1] : double_divide(X0,X2) = double_divide(X1,inverse(double_divide(X0,inverse(double_divide(inverse(X1),X2))))),
inference(superposition,[],[f22,f128]) ).
fof(f153,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(inverse(inverse(X2)),X1),inverse(double_divide(inverse(X0),X1))))) = X2,
inference(superposition,[],[f22,f128]) ).
fof(f154,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f102,f128]) ).
fof(f176,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(X2,X1),inverse(double_divide(inverse(X0),X1))))) = X2,
inference(forward_demodulation,[],[f153,f154]) ).
fof(f180,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = double_divide(X1,inverse(X0)),
inference(forward_demodulation,[],[f142,f154]) ).
fof(f183,plain,
! [X2,X1] : double_divide(double_divide(X2,X1),X1) = X2,
inference(forward_demodulation,[],[f176,f150]) ).
fof(f187,plain,
! [X0] : double_divide(sF6,inverse(double_divide(sF5,inverse(double_divide(a3,inverse(X0)))))) = X0,
inference(backward_demodulation,[],[f26,f180]) ).
fof(f241,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,inverse(double_divide(X1,inverse(X1)))),
inference(superposition,[],[f183,f102]) ).
fof(f242,plain,
b3 = double_divide(sF0,a3),
inference(superposition,[],[f183,f6]) ).
fof(f243,plain,
c3 = double_divide(sF4,b3),
inference(superposition,[],[f183,f14]) ).
fof(f252,plain,
sF0 = inverse(sF1),
inference(backward_demodulation,[],[f109,f241]) ).
fof(f254,plain,
sF4 = inverse(sF5),
inference(backward_demodulation,[],[f111,f241]) ).
fof(f265,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,inverse(double_divide(inverse(X1),X0))),
inference(superposition,[],[f128,f154]) ).
fof(f287,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[],[f180,f154]) ).
fof(f288,plain,
! [X0] : double_divide(sF1,X0) = double_divide(X0,sF1),
inference(superposition,[],[f180,f8]) ).
fof(f301,plain,
sF2 = double_divide(sF1,c3),
inference(backward_demodulation,[],[f10,f288]) ).
fof(f304,plain,
! [X2,X1] : double_divide(X1,double_divide(X2,X1)) = X2,
inference(backward_demodulation,[],[f183,f287]) ).
fof(f311,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f304,f304]) ).
fof(f315,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f311,f287]) ).
fof(f366,plain,
! [X0,X1] : inverse(X1) = double_divide(inverse(X0),inverse(double_divide(X0,X1))),
inference(superposition,[],[f265,f154]) ).
fof(f374,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = inverse(double_divide(X0,inverse(X1))),
inference(superposition,[],[f265,f304]) ).
fof(f430,plain,
! [X0] : double_divide(sF6,inverse(double_divide(sF5,double_divide(X0,inverse(a3))))) = X0,
inference(backward_demodulation,[],[f187,f374]) ).
fof(f670,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f315,f366]) ).
fof(f727,plain,
! [X0] : inverse(double_divide(sF5,X0)) = double_divide(sF4,inverse(X0)),
inference(superposition,[],[f670,f254]) ).
fof(f765,plain,
! [X0] : double_divide(sF6,double_divide(sF4,inverse(double_divide(X0,inverse(a3))))) = X0,
inference(backward_demodulation,[],[f430,f727]) ).
fof(f778,plain,
! [X0] : double_divide(sF6,double_divide(sF4,double_divide(a3,inverse(X0)))) = X0,
inference(forward_demodulation,[],[f765,f374]) ).
fof(f1232,plain,
sF1 = double_divide(sF6,double_divide(sF4,double_divide(a3,sF0))),
inference(superposition,[],[f778,f252]) ).
fof(f1249,plain,
sF1 = double_divide(sF6,double_divide(sF4,double_divide(sF0,a3))),
inference(forward_demodulation,[],[f1232,f287]) ).
fof(f1261,plain,
sF1 = double_divide(sF6,double_divide(sF4,b3)),
inference(forward_demodulation,[],[f1249,f242]) ).
fof(f1267,plain,
sF1 = double_divide(sF6,c3),
inference(forward_demodulation,[],[f1261,f243]) ).
fof(f1274,plain,
double_divide(c3,sF1) = sF6,
inference(superposition,[],[f304,f1267]) ).
fof(f1275,plain,
sF6 = double_divide(sF1,c3),
inference(forward_demodulation,[],[f1274,f288]) ).
fof(f1277,plain,
sF2 = sF6,
inference(forward_demodulation,[],[f1275,f301]) ).
fof(f1279,plain,
inverse(sF2) = sF7,
inference(backward_demodulation,[],[f20,f1277]) ).
fof(f1301,plain,
sF3 = sF7,
inference(forward_demodulation,[],[f1279,f12]) ).
fof(f1305,plain,
$false,
inference(forward_subsumption_resolution,[],[f1301,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP599-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n011.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 10:08:00 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 4.15/1.56 % (2178750)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.15/1.56 % (2178813)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3996987916:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 4.15/1.56 % (2178819)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2485969859:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 4.15/1.56 % (2178812)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=4191780860:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 4.15/1.56 % (2178810)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=3288899659:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 4.15/1.56 % (2178818)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3907589837:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 4.15/1.56 % (2178815)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=666653456:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 4.15/1.56 % (2178816)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2245760296:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 4.15/1.56 % (2178815)Instruction limit reached!
% 4.15/1.56 % (2178815)------------------------------
% 4.15/1.56 % (2178815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.56 % (2178815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.56 % (2178815)CaDiCaL version: 2.1.3
% 4.15/1.56 % (2178815)Termination reason: Instruction limit
% 4.15/1.56 % (2178815)Termination phase: Saturation
% 4.15/1.56 % (2178815)Time elapsed: 0.080 s
% 4.15/1.56 % (2178815)Peak memory usage: 88 MB
% 4.15/1.56 % (2178815)Instructions burned: 137 (million)
% 4.15/1.56 % (2178816)Instruction limit reached!
% 4.15/1.56 % (2178816)------------------------------
% 4.15/1.56 % (2178816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.56 % (2178816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.56 % (2178816)CaDiCaL version: 2.1.3
% 4.15/1.56 % (2178816)Termination reason: Instruction limit
% 4.15/1.56 % (2178816)Termination phase: Saturation
% 4.15/1.56 % (2178816)Time elapsed: 0.103 s
% 4.15/1.56 % (2178816)Peak memory usage: 90 MB
% 4.15/1.56 % (2178816)Instructions burned: 183 (million)
% 4.15/1.56 % (2178818)Instruction limit reached!
% 4.15/1.56 % (2178818)------------------------------
% 4.15/1.56 % (2178818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.56 % (2178818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.56 % (2178818)CaDiCaL version: 2.1.3
% 4.15/1.56 % (2178818)Termination reason: Instruction limit
% 4.15/1.56 % (2178818)Termination phase: Saturation
% 4.15/1.56 % (2178818)Time elapsed: 0.155 s
% 4.15/1.56 % (2178818)Peak memory usage: 90 MB
% 4.15/1.56 % (2178818)Instructions burned: 259 (million)
% 4.15/1.56 % (2178893)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2409197894:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.15/1.56 % (2178897)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2638687207:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 4.15/1.56 % (2178909)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2489562937:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 4.15/1.56 % (2178813)First to succeed.
% 4.15/1.56 % (2178813)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2178750"
% 4.15/1.56 % (2178909)Instruction limit reached!
% 4.15/1.56 % (2178909)------------------------------
% 4.15/1.56 % (2178909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.56 % (2178909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.56 % (2178909)CaDiCaL version: 2.1.3
% 5.58/1.75 % (2178909)Termination reason: Instruction limit
% 5.58/1.75 % (2178909)Termination phase: Saturation
% 5.58/1.75 % (2178909)Time elapsed: 0.124 s
% 5.58/1.75 % (2178909)Peak memory usage: 90 MB
% 5.58/1.75 % (2178909)Instructions burned: 216 (million)
% 5.58/1.75 % (2178813)Refutation found. Thanks to Tanya!
% 5.58/1.75 % SZS status Unsatisfiable for theBenchmark
% 5.58/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 5.58/1.75 % (2178813)------------------------------
% 5.58/1.75 % (2178813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.58/1.75 % (2178813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.75 % (2178813)CaDiCaL version: 2.1.3
% 5.58/1.75 % (2178813)Termination reason: Refutation
% 5.58/1.75 % (2178813)Time elapsed: 0.422 s
% 5.58/1.75 % (2178813)Peak memory usage: 131 MB
% 5.58/1.75 % (2178813)Instructions burned: 1179 (million)
% 5.58/1.75 % (2178813)------------------------------
% 5.58/1.75 % (2178813)------------------------------
% 5.58/1.75 % (2178750)Success in time 0.699 s
% 5.58/1.75 % Vampire exiting
%------------------------------------------------------------------------------