%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP667-3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 10:15:32 AM UTC 2026
% Result : Unsatisfiable 21.22s 3.86s
% Output : Refutation 21.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 92 unt; 6 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 : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 147 ( 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(mult(X2,X1),X2)) = mult(mult(X0,mult(mult(X1,X2),X1)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X0] : mult(f(X0),f(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
fof(f10,negated_conjecture,
mult(a,mult(b,mult(c,b))) != mult(mult(mult(a,b),c),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f11,definition,
sF0 = mult(c,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
mult(c,b) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = mult(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
mult(b,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = mult(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
mult(a,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = mult(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
mult(a,b) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = mult(sF3,c),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
mult(sF3,c) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = mult(sF4,b),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
mult(sF4,b) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
sF2 != sF5,
inference(definition_folding,[],[f10,f22,f20,f18,f16,f14,f12]) ).
fof(f24,plain,
! [X0,X1] : mult(mult(X1,unit),mult(mult(X0,unit),X0)) = mult(mult(X1,mult(X0,unit)),X0),
inference(superposition,[],[f7,f6]) ).
fof(f33,plain,
! [X0,X1] : mult(mult(X1,unit),mult(X0,X0)) = mult(mult(X1,X0),X0),
inference(forward_demodulation,[],[f24,f5]) ).
fof(f38,plain,
! [X0,X1] : mult(mult(X1,X0),X0) = mult(X1,mult(X0,X0)),
inference(forward_demodulation,[],[f33,f5]) ).
fof(f86,plain,
b = ld(c,sF0),
inference(superposition,[],[f2,f12]) ).
fof(f98,plain,
mult(sF0,c) = mult(c,mult(b,c)),
inference(superposition,[],[f8,f12]) ).
fof(f101,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(mult(X1,X0),X1)) = mult(mult(X2,mult(X0,mult(X1,X0))),X1),
inference(superposition,[],[f7,f8]) ).
fof(f111,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,mult(X1,X0))),X1) = mult(mult(X2,X0),mult(X1,mult(X0,X1))),
inference(forward_demodulation,[],[f101,f8]) ).
fof(f131,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,mult(ld(X1,X0),X1)),
inference(superposition,[],[f8,f1]) ).
fof(f133,plain,
! [X2,X0,X1] : mult(mult(X1,X2),mult(mult(ld(X2,X0),X2),ld(X2,X0))) = mult(mult(X1,mult(X0,X2)),ld(X2,X0)),
inference(superposition,[],[f7,f1]) ).
fof(f135,plain,
! [X2,X0,X1] : mult(mult(X1,mult(X0,X2)),ld(X2,X0)) = mult(mult(X1,X2),mult(ld(X2,X0),mult(X2,ld(X2,X0)))),
inference(forward_demodulation,[],[f133,f8]) ).
fof(f136,plain,
! [X2,X0,X1] : mult(mult(X1,mult(X0,X2)),ld(X2,X0)) = mult(mult(X1,X2),mult(ld(X2,X0),X0)),
inference(forward_demodulation,[],[f135,f1]) ).
fof(f153,plain,
! [X0,X1] : mult(mult(unit,X1),mult(ld(X1,X0),X0)) = mult(mult(X0,X1),ld(X1,X0)),
inference(superposition,[],[f136,f6]) ).
fof(f165,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X0)) = mult(X1,mult(ld(X1,X0),X0)),
inference(forward_demodulation,[],[f153,f6]) ).
fof(f180,plain,
! [X0,X1] : mult(ld(X1,X0),X1) = ld(X1,mult(X0,X1)),
inference(superposition,[],[f2,f131]) ).
fof(f197,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,mult(X1,X0)),X0),
inference(superposition,[],[f4,f8]) ).
fof(f199,plain,
! [X2,X0,X1] : mult(X0,mult(mult(X1,X2),X1)) = rd(mult(mult(X0,X1),mult(mult(X2,X1),X2)),X2),
inference(superposition,[],[f4,f7]) ).
fof(f209,plain,
! [X2,X0,X1] : mult(X0,mult(mult(X1,X2),X1)) = rd(mult(mult(X0,X1),mult(X2,mult(X1,X2))),X2),
inference(forward_demodulation,[],[f199,f8]) ).
fof(f211,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X2,X1))) = rd(mult(mult(X0,X1),mult(X2,mult(X1,X2))),X2),
inference(forward_demodulation,[],[f209,f8]) ).
fof(f269,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,X2)),mult(mult(X2,rd(X0,X2)),X2)) = mult(mult(X1,mult(X0,rd(X0,X2))),X2),
inference(superposition,[],[f7,f3]) ).
fof(f273,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X2,X1))) = rd(mult(X0,mult(X2,mult(X1,X2))),X2),
inference(superposition,[],[f211,f3]) ).
fof(f278,plain,
! [X2,X0,X1] : mult(mult(X1,mult(X0,rd(X0,X2))),X2) = mult(mult(X1,rd(X0,X2)),mult(X2,mult(rd(X0,X2),X2))),
inference(forward_demodulation,[],[f269,f8]) ).
fof(f280,plain,
! [X2,X0,X1] : mult(mult(X1,mult(X0,rd(X0,X2))),X2) = mult(mult(X1,rd(X0,X2)),mult(X2,X0)),
inference(forward_demodulation,[],[f278,f3]) ).
fof(f308,plain,
! [X0] : unit = ld(X0,X0),
inference(superposition,[],[f2,f5]) ).
fof(f839,plain,
! [X0,X1] : ld(X0,X1) = rd(ld(X0,mult(X1,X0)),X0),
inference(superposition,[],[f4,f180]) ).
fof(f1028,plain,
! [X0,X1] : mult(X1,rd(X0,X1)) = rd(mult(X1,X0),X1),
inference(superposition,[],[f197,f3]) ).
fof(f2784,plain,
! [X0] : mult(mult(X0,b),mult(c,mult(b,c))) = mult(mult(X0,mult(b,sF0)),c),
inference(superposition,[],[f111,f12]) ).
fof(f2880,plain,
! [X0] : mult(mult(X0,b),mult(c,mult(b,c))) = mult(mult(X0,sF1),c),
inference(forward_demodulation,[],[f2784,f14]) ).
fof(f2917,plain,
! [X0] : mult(mult(X0,sF1),c) = mult(mult(X0,b),mult(sF0,c)),
inference(forward_demodulation,[],[f2880,f98]) ).
fof(f2956,plain,
mult(mult(a,sF1),c) = mult(sF3,mult(sF0,c)),
inference(superposition,[],[f2917,f18]) ).
fof(f3003,plain,
mult(sF3,mult(sF0,c)) = mult(sF2,c),
inference(forward_demodulation,[],[f2956,f16]) ).
fof(f3619,plain,
! [X0] : ld(X0,unit) = rd(ld(X0,X0),X0),
inference(superposition,[],[f839,f6]) ).
fof(f3654,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(forward_demodulation,[],[f3619,f308]) ).
fof(f3902,plain,
! [X0,X1] : rd(mult(X0,mult(X1,X0)),X0) = mult(rd(unit,X1),mult(X1,mult(X0,X1))),
inference(superposition,[],[f273,f6]) ).
fof(f3966,plain,
! [X0,X1] : rd(mult(X0,mult(X1,X0)),X0) = mult(ld(X1,unit),mult(X1,mult(X0,X1))),
inference(forward_demodulation,[],[f3902,f3654]) ).
fof(f4016,plain,
! [X0,X1] : mult(X0,rd(mult(X1,X0),X0)) = mult(ld(X1,unit),mult(X1,mult(X0,X1))),
inference(forward_demodulation,[],[f3966,f1028]) ).
fof(f4040,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(X1,unit),mult(X1,mult(X0,X1))),
inference(forward_demodulation,[],[f4016,f4]) ).
fof(f7662,plain,
! [X0,X1] : mult(ld(X1,unit),mult(X1,X0)) = X0,
inference(superposition,[],[f4040,f3]) ).
fof(f7837,plain,
! [X0,X1] : ld(X1,X0) = mult(ld(X1,unit),X0),
inference(superposition,[],[f7662,f1]) ).
fof(f7932,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(mult(ld(X0,unit),rd(X0,X1)),mult(X1,X0)),
inference(superposition,[],[f280,f7662]) ).
fof(f7940,plain,
! [X0,X1] : ld(X1,unit) = rd(X0,mult(X1,X0)),
inference(superposition,[],[f4,f7662]) ).
fof(f8017,plain,
! [X0,X1] : mult(mult(ld(X0,unit),rd(X0,X1)),mult(X1,X0)) = X0,
inference(forward_demodulation,[],[f7932,f3]) ).
fof(f8086,plain,
! [X0,X1] : mult(ld(X0,rd(X0,X1)),mult(X1,X0)) = X0,
inference(forward_demodulation,[],[f8017,f7837]) ).
fof(f8202,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = mult(ld(X0,unit),mult(X1,X1)),
inference(superposition,[],[f38,f7837]) ).
fof(f8374,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = ld(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f8202,f7837]) ).
fof(f8672,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = ld(X0,rd(X0,X1)),
inference(superposition,[],[f4,f8086]) ).
fof(f8744,plain,
! [X0,X1] : ld(X1,unit) = ld(X0,rd(X0,X1)),
inference(forward_demodulation,[],[f8672,f7940]) ).
fof(f8883,plain,
! [X0,X1] : ld(X1,unit) = ld(mult(X0,X1),X0),
inference(superposition,[],[f8744,f4]) ).
fof(f8901,plain,
! [X0,X1] : rd(X1,X0) = mult(X1,ld(X0,unit)),
inference(superposition,[],[f1,f8744]) ).
fof(f9197,plain,
! [X0,X1] : mult(mult(X1,mult(X1,X0)),ld(X0,unit)) = mult(mult(X1,X0),mult(ld(X0,unit),X1)),
inference(superposition,[],[f165,f8883]) ).
fof(f9222,plain,
! [X0,X1] : mult(mult(X1,X0),ld(X0,X1)) = mult(mult(X1,mult(X1,X0)),ld(X0,unit)),
inference(forward_demodulation,[],[f9197,f7837]) ).
fof(f9249,plain,
! [X0,X1] : mult(mult(X1,X0),ld(X0,X1)) = rd(mult(X1,mult(X1,X0)),X0),
inference(forward_demodulation,[],[f9222,f8901]) ).
fof(f9263,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),X1)) = rd(mult(X1,mult(X1,X0)),X0),
inference(forward_demodulation,[],[f9249,f165]) ).
fof(f9268,plain,
! [X0,X1] : rd(mult(X1,mult(X1,X0)),X0) = mult(X0,ld(X0,mult(X1,X1))),
inference(forward_demodulation,[],[f9263,f8374]) ).
fof(f9270,plain,
! [X0,X1] : mult(X1,X1) = rd(mult(X1,mult(X1,X0)),X0),
inference(forward_demodulation,[],[f9268,f1]) ).
fof(f9343,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(superposition,[],[f3,f9270]) ).
fof(f9469,plain,
! [X0,X1] : mult(X0,X1) = mult(f(X0),mult(f(X0),X1)),
inference(superposition,[],[f9343,f9]) ).
fof(f12263,plain,
! [X2,X0,X1] : mult(mult(X2,mult(f(X0),X1)),mult(ld(mult(f(X0),X1),f(X0)),f(X0))) = mult(mult(X2,mult(X0,X1)),ld(mult(f(X0),X1),f(X0))),
inference(superposition,[],[f136,f9469]) ).
fof(f12330,plain,
! [X2,X0,X1] : mult(mult(X2,mult(f(X0),X1)),mult(ld(X1,unit),f(X0))) = mult(mult(X2,mult(X0,X1)),ld(X1,unit)),
inference(forward_demodulation,[],[f12263,f8883]) ).
fof(f12400,plain,
! [X2,X0,X1] : mult(mult(X2,mult(f(X0),X1)),mult(ld(X1,unit),f(X0))) = rd(mult(X2,mult(X0,X1)),X1),
inference(forward_demodulation,[],[f12330,f8901]) ).
fof(f12441,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(mult(X2,mult(f(X0),X1)),ld(X1,f(X0))),
inference(forward_demodulation,[],[f12400,f7837]) ).
fof(f12455,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(mult(X2,X1),mult(ld(X1,f(X0)),f(X0))),
inference(forward_demodulation,[],[f12441,f136]) ).
fof(f12462,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(mult(X2,X1),ld(X1,mult(f(X0),f(X0)))),
inference(forward_demodulation,[],[f12455,f8374]) ).
fof(f12467,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(mult(X2,X1),ld(X1,X0)),
inference(forward_demodulation,[],[f12462,f9]) ).
fof(f12857,plain,
mult(mult(sF3,c),ld(c,sF0)) = rd(mult(sF2,c),c),
inference(superposition,[],[f12467,f3003]) ).
fof(f12916,plain,
sF2 = mult(mult(sF3,c),ld(c,sF0)),
inference(forward_demodulation,[],[f12857,f4]) ).
fof(f12993,plain,
sF2 = mult(mult(sF3,c),b),
inference(forward_demodulation,[],[f12916,f86]) ).
fof(f13039,plain,
sF2 = mult(sF4,b),
inference(forward_demodulation,[],[f12993,f20]) ).
fof(f13068,plain,
sF2 = sF5,
inference(superposition,[],[f22,f13039]) ).
fof(f13154,plain,
$false,
inference(forward_subsumption_resolution,[],[f13068,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP667-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 10:33:51 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 21.22/3.86 % (3317178)Detected a unit-equality problem, will run specialized UEQ schedule.
% 21.22/3.86 % (3317189)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3677292090:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 21.22/3.86 % (3317186)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4247261183:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 21.22/3.86 % (3317183)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=3870875151:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 21.22/3.86 % (3317188)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=791744338:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 21.22/3.86 % (3317187)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4217188482:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 21.22/3.86 % (3317185)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1384795187:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 21.22/3.86 % (3317184)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=3013980427:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 21.22/3.86 % (3317186)Instruction limit reached!
% 21.22/3.86 % (3317186)------------------------------
% 21.22/3.86 % (3317186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.86 % (3317186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.86 % (3317186)CaDiCaL version: 2.1.3
% 21.22/3.86 % (3317186)Termination reason: Instruction limit
% 21.22/3.86 % (3317186)Termination phase: Saturation
% 21.22/3.86 % (3317186)Time elapsed: 0.081 s
% 21.22/3.86 % (3317186)Peak memory usage: 89 MB
% 21.22/3.86 % (3317186)Instructions burned: 136 (million)
% 21.22/3.86 % (3317187)Instruction limit reached!
% 21.22/3.86 % (3317187)------------------------------
% 21.22/3.86 % (3317187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.86 % (3317187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.86 % (3317187)CaDiCaL version: 2.1.3
% 21.22/3.86 % (3317187)Termination reason: Instruction limit
% 21.22/3.86 % (3317187)Termination phase: Saturation
% 21.22/3.86 % (3317187)Time elapsed: 0.102 s
% 21.22/3.86 % (3317187)Peak memory usage: 89 MB
% 21.22/3.86 % (3317187)Instructions burned: 182 (million)
% 21.22/3.86 % (3317188)Instruction limit reached!
% 21.22/3.86 % (3317188)------------------------------
% 21.22/3.86 % (3317188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.86 % (3317188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.86 % (3317188)CaDiCaL version: 2.1.3
% 21.22/3.86 % (3317188)Termination reason: Instruction limit
% 21.22/3.86 % (3317188)Termination phase: Saturation
% 21.22/3.86 % (3317188)Time elapsed: 0.161 s
% 21.22/3.86 % (3317188)Peak memory usage: 90 MB
% 21.22/3.86 % (3317188)Instructions burned: 258 (million)
% 21.22/3.86 % (3317197)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3685104165:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 21.22/3.86 % (3317198)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4266699254:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 21.22/3.86 % (3317199)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=43226060:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 21.22/3.86 % (3317189)Instruction limit reached!
% 21.22/3.86 % (3317189)------------------------------
% 21.22/3.86 % (3317189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.86 % (3317189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.86 % (3317189)CaDiCaL version: 2.1.3
% 21.22/3.86 % (3317189)Termination reason: Instruction limit
% 21.22/3.86 % (3317189)Termination phase: Saturation
% 21.22/3.86 % (3317189)Time elapsed: 0.358 s
% 21.22/3.86 % (3317189)Peak memory usage: 102 MB
% 21.22/3.86 % (3317189)Instructions burned: 1188 (million)
% 21.22/3.86 % (3317199)Instruction limit reached!
% 21.22/3.86 % (3317199)------------------------------
% 21.22/3.86 % (3317199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.86 % (3317199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.86 % (3317199)CaDiCaL version: 2.1.3
% 21.22/3.86 % (3317199)Termination reason: Instruction limit
% 21.22/3.86 % (3317199)Termination phase: Saturation
% 21.22/3.86 % (3317199)Time elapsed: 0.117 s
% 21.22/3.86 % (3317199)Peak memory usage: 90 MB
% 21.22/3.86 % (3317199)Instructions burned: 215 (million)
% 21.22/3.86 % (3317203)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=4243630792:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 21.22/3.86 % (3317203)Instruction limit reached!
% 21.22/3.86 % (3317203)------------------------------
% 21.22/3.86 % (3317203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.86 % (3317203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.86 % (3317203)CaDiCaL version: 2.1.3
% 21.22/3.86 % (3317203)Termination reason: Instruction limit
% 21.22/3.86 % (3317203)Termination phase: Saturation
% 21.22/3.86 % (3317203)Time elapsed: 0.105 s
% 21.22/3.86 % (3317203)Peak memory usage: 95 MB
% 21.22/3.86 % (3317203)Instructions burned: 319 (million)
% 21.22/3.86 % (3317204)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1097059207:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 21.22/3.86 % (3317206)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=111764312:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 21.22/3.86 % (3317197)Instruction limit reached!
% 21.22/3.86 % (3317197)------------------------------
% 21.22/3.86 % (3317197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.86 % (3317197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.86 % (3317197)CaDiCaL version: 2.1.3
% 21.22/3.86 % (3317197)Termination reason: Instruction limit
% 21.22/3.86 % (3317197)Termination phase: Saturation
% 21.22/3.86 % (3317197)Time elapsed: 1.294 s
% 21.22/3.86 % (3317197)Peak memory usage: 140 MB
% 21.22/3.86 % (3317197)Instructions burned: 2052 (million)
% 21.22/3.86 % (3317206)Instruction limit reached!
% 21.22/3.86 % (3317206)------------------------------
% 21.22/3.86 % (3317206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.22/3.86 % (3317206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.86 % (3317206)CaDiCaL version: 2.1.3
% 21.22/3.86 % (3317206)Termination reason: Instruction limit
% 21.22/3.86 % (3317206)Termination phase: Saturation
% 21.22/3.86 % (3317206)Time elapsed: 1.010 s
% 21.22/3.86 % (3317206)Peak memory usage: 128 MB
% 21.22/3.86 % (3317206)Instructions burned: 2839 (million)
% 21.22/3.86 % (3317209)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1743910558:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 21.22/3.86 % (3317210)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2319501511:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2981 on theBenchmark for (2981ds/11832Mi)
% 21.22/3.86 % (3317204)First to succeed.
% 21.22/3.86 % (3317204)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3317178"
% 21.22/3.86 % (3317184)Also succeeded, but the first one will report.
% 21.22/3.86 % (3317183)Also succeeded, but the first one will report.
% 21.22/3.86 % (3317204)Refutation found. Thanks to Tanya!
% 21.22/3.86 % SZS status Unsatisfiable for theBenchmark
% 21.22/3.86 % SZS output start Proof for theBenchmark
% See solution above
% 21.67/3.95 % (3317204)------------------------------
% 21.67/3.95 % (3317204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.67/3.95 % (3317204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.67/3.95 % (3317204)CaDiCaL version: 2.1.3
% 21.67/3.95 % (3317204)Termination reason: Refutation
% 21.67/3.95 % (3317204)Time elapsed: 1.954 s
% 21.67/3.95 % (3317204)Peak memory usage: 154 MB
% 21.67/3.95 % (3317204)Instructions burned: 3256 (million)
% 21.67/3.95 % (3317204)------------------------------
% 21.67/3.95 % (3317204)------------------------------
% 21.67/3.95 % (3317178)Success in time 2.992 s
% 21.67/3.95 % Vampire exiting
%------------------------------------------------------------------------------