%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP777-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 10:16:11 AM UTC 2026
% Result : Unsatisfiable 4.49s 1.81s
% Output : Refutation 7.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 10
% Syntax : Number of formulae : 92 ( 92 unt; 0 def)
% Number of atoms : 92 ( 91 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 127 ( 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : difference(X0,product(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).
fof(f2,axiom,
! [X0,X1] : product(X0,difference(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos02) ).
fof(f3,axiom,
! [X0,X1] : quotient(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).
fof(f4,axiom,
! [X0,X1] : product(quotient(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : product(product(X0,X1),product(X2,X3)) = product(product(X0,X2),product(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos05) ).
fof(f6,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos06) ).
fof(f7,axiom,
! [X0,X1] : product(product(product(X0,X1),X1),product(X1,product(X1,X0))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos07) ).
fof(f8,axiom,
! [X2,X0,X1] : bigC(X0,X1,X2) = product(product(X0,X1),product(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos08) ).
fof(f9,axiom,
product(product(a,c),product(c,b)) = product(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos09) ).
fof(f10,negated_conjecture,
bigC(a,b,x0) != bigC(c,c,x0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f14,plain,
! [X0,X1] : quotient(X0,difference(X1,X0)) = X1,
inference(superposition,[],[f3,f2]) ).
fof(f16,plain,
! [X0,X1] : difference(quotient(X0,X1),X0) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f20,plain,
product(a,c) = quotient(product(a,b),product(c,b)),
inference(superposition,[],[f3,f9]) ).
fof(f29,plain,
! [X0,X1] : bigC(X0,X0,X1) = product(X0,product(X1,X0)),
inference(superposition,[],[f8,f6]) ).
fof(f34,plain,
! [X0,X1] : bigC(X0,X1,X0) = product(product(X0,X1),X0),
inference(superposition,[],[f8,f6]) ).
fof(f42,plain,
! [X2,X0,X1] : product(X2,X0) = difference(product(X0,X1),bigC(X0,X1,X2)),
inference(superposition,[],[f1,f8]) ).
fof(f47,plain,
! [X0,X1] : product(product(X0,X1),product(X1,product(X1,quotient(X0,X1)))) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f53,plain,
! [X0,X1] : product(product(product(difference(X1,X0),X1),X1),product(X1,X0)) = X1,
inference(superposition,[],[f7,f2]) ).
fof(f76,plain,
! [X0,X1] : product(X1,X0) = bigC(X1,X1,quotient(X0,X1)),
inference(superposition,[],[f29,f4]) ).
fof(f81,plain,
! [X0,X1] : product(X1,X0) = difference(X0,bigC(X0,X0,X1)),
inference(superposition,[],[f1,f29]) ).
fof(f92,plain,
! [X0,X1] : product(X0,X1) = bigC(X1,difference(X1,X0),X1),
inference(superposition,[],[f34,f2]) ).
fof(f100,plain,
! [X0,X1] : difference(product(X0,X1),bigC(X0,X1,X0)) = X0,
inference(superposition,[],[f1,f34]) ).
fof(f101,plain,
! [X0,X1] : product(X0,X1) = quotient(bigC(X0,X1,X0),X0),
inference(superposition,[],[f3,f34]) ).
fof(f162,plain,
! [X2,X0,X1] : product(product(X0,X1),product(X0,X2)) = product(X0,product(X1,X2)),
inference(superposition,[],[f5,f6]) ).
fof(f172,plain,
! [X2,X0,X1] : product(product(X1,X2),X0) = product(product(X1,X0),product(X2,X0)),
inference(superposition,[],[f5,f6]) ).
fof(f175,plain,
! [X2,X3,X0,X1] : product(product(X1,X2),X0) = product(product(X1,quotient(X0,X3)),product(X2,X3)),
inference(superposition,[],[f5,f4]) ).
fof(f182,plain,
! [X2,X0,X1] : bigC(X0,X1,X2) = product(product(X0,X2),product(X1,X0)),
inference(superposition,[],[f5,f8]) ).
fof(f377,plain,
! [X2,X0,X1] : bigC(X0,X1,X2) = bigC(X0,X2,X1),
inference(superposition,[],[f182,f8]) ).
fof(f390,plain,
! [X2,X0,X1] : product(X0,X2) = quotient(bigC(X0,X1,X2),product(X1,X0)),
inference(superposition,[],[f3,f182]) ).
fof(f413,plain,
! [X0,X1] : product(X0,X1) = bigC(X1,X1,difference(X1,X0)),
inference(superposition,[],[f377,f92]) ).
fof(f423,plain,
! [X0,X1] : product(X0,X1) = quotient(bigC(X0,X0,X1),X0),
inference(superposition,[],[f101,f377]) ).
fof(f424,plain,
! [X0,X1] : difference(product(X0,X1),bigC(X0,X0,X1)) = X0,
inference(superposition,[],[f100,f377]) ).
fof(f560,plain,
! [X0,X1] : product(difference(X1,X0),X1) = difference(X1,product(X0,X1)),
inference(superposition,[],[f81,f413]) ).
fof(f619,plain,
! [X0,X1] : product(X0,quotient(X1,X0)) = quotient(product(X0,X1),X0),
inference(superposition,[],[f423,f76]) ).
fof(f645,plain,
! [X0,X1] : difference(product(X0,quotient(X1,X0)),product(X0,X1)) = X0,
inference(superposition,[],[f424,f76]) ).
fof(f758,plain,
! [X0,X1] : difference(product(X1,X0),X0) = product(X0,product(X0,quotient(X1,X0))),
inference(superposition,[],[f1,f47]) ).
fof(f910,plain,
! [X0,X1] : product(product(difference(X0,X1),X0),X0) = quotient(X0,product(X0,X1)),
inference(superposition,[],[f3,f53]) ).
fof(f1545,plain,
! [X2,X0,X1] : product(product(X1,X2),X0) = product(X1,product(X2,difference(X1,X0))),
inference(superposition,[],[f162,f2]) ).
fof(f1579,plain,
! [X2,X0,X1] : product(X0,X1) = quotient(product(X0,product(X1,X2)),product(X0,X2)),
inference(superposition,[],[f3,f162]) ).
fof(f1713,plain,
! [X2,X0,X1] : product(X1,X2) = difference(product(X0,X2),product(product(X0,X1),X2)),
inference(superposition,[],[f1,f172]) ).
fof(f2122,plain,
! [X0,X1] : product(X1,quotient(product(X1,quotient(X0,X1)),X1)) = quotient(difference(product(X0,X1),X1),X1),
inference(superposition,[],[f619,f758]) ).
fof(f2123,plain,
! [X0,X1] : difference(product(X1,quotient(product(X1,quotient(X0,X1)),X1)),difference(product(X0,X1),X1)) = X1,
inference(superposition,[],[f645,f758]) ).
fof(f2124,plain,
! [X0,X1] : difference(product(X1,product(X1,quotient(quotient(X0,X1),X1))),difference(product(X0,X1),X1)) = X1,
inference(forward_demodulation,[],[f2123,f619]) ).
fof(f2125,plain,
! [X0,X1] : product(X1,product(X1,quotient(quotient(X0,X1),X1))) = quotient(difference(product(X0,X1),X1),X1),
inference(forward_demodulation,[],[f2122,f619]) ).
fof(f2154,plain,
! [X0,X1] : difference(difference(product(quotient(X0,X1),X1),X1),difference(product(X0,X1),X1)) = X1,
inference(forward_demodulation,[],[f2124,f758]) ).
fof(f2155,plain,
! [X0,X1] : difference(product(quotient(X0,X1),X1),X1) = quotient(difference(product(X0,X1),X1),X1),
inference(forward_demodulation,[],[f2125,f758]) ).
fof(f2173,plain,
! [X0,X1] : difference(difference(X0,X1),difference(product(X0,X1),X1)) = X1,
inference(forward_demodulation,[],[f2154,f4]) ).
fof(f2174,plain,
! [X0,X1] : difference(X0,X1) = quotient(difference(product(X0,X1),X1),X1),
inference(forward_demodulation,[],[f2155,f4]) ).
fof(f2232,plain,
! [X0,X1] : product(difference(X1,X0),X0) = difference(product(X1,X0),X0),
inference(superposition,[],[f2,f2173]) ).
fof(f2287,plain,
! [X0,X1] : difference(quotient(X0,X1),X1) = quotient(difference(X0,X1),X1),
inference(superposition,[],[f2174,f4]) ).
fof(f4139,plain,
! [X0,X1] : product(difference(X0,product(difference(X0,X1),X0)),X0) = difference(X0,quotient(X0,product(X0,X1))),
inference(superposition,[],[f560,f910]) ).
fof(f4154,plain,
! [X0,X1] : product(product(difference(X0,difference(X0,X1)),X0),X0) = difference(X0,quotient(X0,product(X0,X1))),
inference(forward_demodulation,[],[f4139,f560]) ).
fof(f4193,plain,
! [X0,X1] : quotient(X0,product(X0,difference(X0,X1))) = difference(X0,quotient(X0,product(X0,X1))),
inference(forward_demodulation,[],[f4154,f910]) ).
fof(f4214,plain,
! [X0,X1] : quotient(X0,X1) = difference(X0,quotient(X0,product(X0,X1))),
inference(forward_demodulation,[],[f4193,f2]) ).
fof(f4269,plain,
! [X0,X1] : product(X0,quotient(X0,X1)) = quotient(X0,product(X0,X1)),
inference(superposition,[],[f2,f4214]) ).
fof(f4607,plain,
! [X0,X1] : product(X0,X1) = difference(product(X0,quotient(X0,X1)),X0),
inference(superposition,[],[f16,f4269]) ).
fof(f5177,plain,
! [X0,X1] : product(X1,difference(X0,X1)) = difference(product(X1,X0),X1),
inference(superposition,[],[f4607,f14]) ).
fof(f8721,plain,
! [X2,X0,X1] : product(X1,difference(X0,X2)) = difference(X0,product(product(X0,X1),X2)),
inference(superposition,[],[f1,f1545]) ).
fof(f13524,plain,
product(c,difference(a,product(c,b))) = difference(a,product(a,b)),
inference(superposition,[],[f8721,f9]) ).
fof(f13601,plain,
b = product(c,difference(a,product(c,b))),
inference(forward_demodulation,[],[f13524,f1]) ).
fof(f13656,plain,
difference(c,b) = difference(a,product(c,b)),
inference(superposition,[],[f1,f13601]) ).
fof(f13745,plain,
product(c,b) = product(a,difference(c,b)),
inference(superposition,[],[f2,f13656]) ).
fof(f13795,plain,
product(product(c,a),b) = product(c,product(c,b)),
inference(superposition,[],[f1545,f13745]) ).
fof(f13943,plain,
product(a,b) = difference(product(c,b),product(c,product(c,b))),
inference(superposition,[],[f1713,f13795]) ).
fof(f14033,plain,
product(a,b) = product(difference(product(c,b),c),product(c,b)),
inference(forward_demodulation,[],[f13943,f560]) ).
fof(f14041,plain,
product(a,b) = product(product(c,difference(b,c)),product(c,b)),
inference(forward_demodulation,[],[f14033,f5177]) ).
fof(f14046,plain,
product(a,b) = product(product(c,c),product(difference(b,c),b)),
inference(forward_demodulation,[],[f14041,f5]) ).
fof(f14048,plain,
product(a,b) = product(c,product(difference(b,c),b)),
inference(forward_demodulation,[],[f14046,f6]) ).
fof(f14194,plain,
quotient(product(a,b),product(c,b)) = product(c,difference(b,c)),
inference(superposition,[],[f1579,f14048]) ).
fof(f14287,plain,
product(a,c) = product(c,difference(b,c)),
inference(forward_demodulation,[],[f14194,f20]) ).
fof(f14301,plain,
product(b,product(a,c)) = product(product(b,c),c),
inference(superposition,[],[f1545,f14287]) ).
fof(f14353,plain,
product(c,quotient(difference(b,c),c)) = quotient(product(a,c),c),
inference(superposition,[],[f619,f14287]) ).
fof(f14387,plain,
a = product(c,quotient(difference(b,c),c)),
inference(forward_demodulation,[],[f14353,f3]) ).
fof(f14411,plain,
a = product(c,difference(quotient(b,c),c)),
inference(forward_demodulation,[],[f14387,f2287]) ).
fof(f16701,plain,
c = product(product(b,product(a,c)),product(c,product(c,b))),
inference(superposition,[],[f7,f14301]) ).
fof(f16819,plain,
c = product(product(b,c),product(product(a,c),product(c,b))),
inference(forward_demodulation,[],[f16701,f5]) ).
fof(f16841,plain,
c = product(product(b,c),product(a,b)),
inference(forward_demodulation,[],[f16819,f9]) ).
fof(f16850,plain,
c = bigC(b,c,a),
inference(forward_demodulation,[],[f16841,f8]) ).
fof(f16858,plain,
product(a,b) = difference(product(b,c),c),
inference(superposition,[],[f42,f16850]) ).
fof(f16862,plain,
product(a,b) = product(difference(b,c),c),
inference(forward_demodulation,[],[f16858,f2232]) ).
fof(f17299,plain,
c = product(product(a,b),product(c,product(c,quotient(difference(b,c),c)))),
inference(superposition,[],[f47,f16862]) ).
fof(f17383,plain,
c = product(product(a,c),product(b,product(c,quotient(difference(b,c),c)))),
inference(forward_demodulation,[],[f17299,f5]) ).
fof(f17401,plain,
c = product(product(a,c),product(b,product(c,difference(quotient(b,c),c)))),
inference(forward_demodulation,[],[f17383,f2287]) ).
fof(f17409,plain,
c = product(product(a,c),product(b,a)),
inference(forward_demodulation,[],[f17401,f14411]) ).
fof(f17412,plain,
c = bigC(a,c,b),
inference(forward_demodulation,[],[f17409,f8]) ).
fof(f17418,plain,
product(a,b) = quotient(c,product(c,a)),
inference(superposition,[],[f390,f17412]) ).
fof(f17419,plain,
product(a,b) = product(c,quotient(c,a)),
inference(forward_demodulation,[],[f17418,f4269]) ).
fof(f18906,plain,
! [X0] : product(product(c,X0),c) = product(product(a,b),product(X0,a)),
inference(superposition,[],[f175,f17419]) ).
fof(f19021,plain,
! [X0] : bigC(a,b,X0) = product(product(c,X0),c),
inference(forward_demodulation,[],[f18906,f8]) ).
fof(f19038,plain,
! [X0] : bigC(a,b,X0) = bigC(c,X0,c),
inference(forward_demodulation,[],[f19021,f34]) ).
fof(f22218,plain,
bigC(c,c,x0) != bigC(c,x0,c),
inference(superposition,[],[f10,f19038]) ).
fof(f22251,plain,
$false,
inference(forward_subsumption_resolution,[],[f22218,f377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP777-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 10:43:06 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.49/1.81 % (34638)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.49/1.81 % (34645)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1806527541:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.49/1.81 % (34644)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=3103772460:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.49/1.81 % (34646)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=969122795:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.49/1.81 % (34649)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1079697859:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.49/1.81 % (34648)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2513491394:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.49/1.81 % (34643)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=1283006913:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.49/1.81 % (34647)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1809899481:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.49/1.81 % (34646)Instruction limit reached!
% 4.49/1.81 % (34646)------------------------------
% 4.49/1.81 % (34646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.81 % (34646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.81 % (34646)CaDiCaL version: 2.1.3
% 4.49/1.81 % (34646)Termination reason: Instruction limit
% 4.49/1.81 % (34646)Termination phase: Saturation
% 4.49/1.81 % (34646)Time elapsed: 0.079 s
% 4.49/1.81 % (34646)Peak memory usage: 89 MB
% 4.49/1.81 % (34646)Instructions burned: 136 (million)
% 4.49/1.81 % (34647)Instruction limit reached!
% 4.49/1.81 % (34647)------------------------------
% 4.49/1.81 % (34647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.81 % (34647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.81 % (34647)CaDiCaL version: 2.1.3
% 4.49/1.81 % (34647)Termination reason: Instruction limit
% 4.49/1.81 % (34647)Termination phase: Saturation
% 4.49/1.81 % (34647)Time elapsed: 0.099 s
% 4.49/1.81 % (34647)Peak memory usage: 89 MB
% 4.49/1.81 % (34647)Instructions burned: 183 (million)
% 4.49/1.81 % (34648)Instruction limit reached!
% 4.49/1.81 % (34648)------------------------------
% 4.49/1.81 % (34648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.81 % (34648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.81 % (34648)CaDiCaL version: 2.1.3
% 4.49/1.81 % (34648)Termination reason: Instruction limit
% 4.49/1.81 % (34648)Termination phase: Saturation
% 4.49/1.81 % (34648)Time elapsed: 0.172 s
% 4.49/1.81 % (34648)Peak memory usage: 91 MB
% 4.49/1.81 % (34648)Instructions burned: 258 (million)
% 4.49/1.81 % (34657)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2571690011:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.49/1.81 % (34658)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=731516720:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 4.49/1.81 % (34659)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1331284395:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 4.49/1.81 % (34659)Instruction limit reached!
% 4.49/1.81 % (34659)------------------------------
% 4.49/1.81 % (34659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.81 % (34659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.81 % (34659)CaDiCaL version: 2.1.3
% 4.49/1.81 % (34659)Termination reason: Instruction limit
% 4.49/1.81 % (34659)Termination phase: Saturation
% 4.49/1.81 % (34659)Time elapsed: 0.118 s
% 4.49/1.81 % (34659)Peak memory usage: 90 MB
% 4.49/1.81 % (34659)Instructions burned: 215 (million)
% 4.49/1.81 % (34649)First to succeed.
% 4.49/1.81 % (34649)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-34638"
% 4.49/1.81 % (34663)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=216616329:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 4.49/1.81 % (34649)Refutation found. Thanks to Tanya!
% 4.49/1.81 % SZS status Unsatisfiable for theBenchmark
% 4.49/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 7.29/2.01 % (34649)------------------------------
% 7.29/2.01 % (34649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.01 % (34649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.01 % (34649)CaDiCaL version: 2.1.3
% 7.29/2.01 % (34649)Termination reason: Refutation
% 7.29/2.01 % (34649)Time elapsed: 0.523 s
% 7.29/2.01 % (34649)Peak memory usage: 98 MB
% 7.29/2.01 % (34649)Instructions burned: 953 (million)
% 7.29/2.01 % (34649)------------------------------
% 7.29/2.01 % (34649)------------------------------
% 7.29/2.01 % (34638)Success in time 0.954 s
% 7.29/2.01 % Vampire exiting
%------------------------------------------------------------------------------