%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP664-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 10:15:30 AM UTC 2026
% Result : Unsatisfiable 91.75s 25.76s
% Output : Refutation 173.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 72 ( 72 unt; 0 def)
% Number of atoms : 72 ( 71 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 133 ( 133 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f9,negated_conjecture,
mult(x0,x1) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal1) ).
fof(f10,plain,
unit = mult(x0,x1),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
mult(mult(x1,x0),mult(x2,x3)) != mult(mult(mult(x1,x0),x2),x3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal2) ).
fof(f20,plain,
! [X0] : mult(x0,mult(X0,x1)) = mult(rd(mult(x0,X0),x0),unit),
inference(superposition,[],[f7,f10]) ).
fof(f23,plain,
! [X0] : mult(mult(x0,X0),x1) = mult(unit,ld(x1,mult(X0,x1))),
inference(superposition,[],[f8,f10]) ).
fof(f24,plain,
! [X0] : mult(mult(x0,X0),x1) = ld(x1,mult(X0,x1)),
inference(forward_demodulation,[],[f23,f6]) ).
fof(f25,plain,
! [X0] : mult(x0,mult(X0,x1)) = rd(mult(x0,X0),x0),
inference(forward_demodulation,[],[f20,f5]) ).
fof(f47,plain,
! [X2,X0,X1] : mult(X1,mult(X2,ld(X1,X0))) = mult(rd(mult(X1,X2),X1),X0),
inference(superposition,[],[f7,f1]) ).
fof(f48,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),X2)) = mult(rd(X0,X1),mult(X1,X2)),
inference(superposition,[],[f7,f1]) ).
fof(f72,plain,
! [X2,X0,X1] : mult(mult(X1,X2),ld(X2,X0)) = mult(mult(X1,rd(X0,X2)),X2),
inference(superposition,[],[f8,f3]) ).
fof(f76,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f148,plain,
! [X0] : mult(x0,mult(ld(x0,X0),x1)) = rd(X0,x0),
inference(superposition,[],[f25,f1]) ).
fof(f162,plain,
! [X2,X0,X1] : mult(X0,rd(X2,X1)) = rd(mult(mult(X0,X1),ld(X1,X2)),X1),
inference(superposition,[],[f4,f72]) ).
fof(f175,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(X1,mult(ld(X1,mult(X0,X1)),X2)),
inference(superposition,[],[f48,f4]) ).
fof(f398,plain,
! [X2,X0,X1] : mult(ld(X1,mult(X0,X1)),X2) = ld(X1,mult(X0,mult(X1,X2))),
inference(superposition,[],[f2,f175]) ).
fof(f429,plain,
! [X0,X1] : mult(mult(X1,X0),x1) = mult(mult(X1,x1),mult(mult(x0,X0),x1)),
inference(superposition,[],[f8,f24]) ).
fof(f433,plain,
! [X0] : mult(X0,x1) = mult(x1,mult(mult(x0,X0),x1)),
inference(superposition,[],[f1,f24]) ).
fof(f451,plain,
! [X0,X1] : mult(mult(X1,ld(x0,X0)),x1) = mult(mult(X1,x1),mult(X0,x1)),
inference(superposition,[],[f429,f1]) ).
fof(f490,plain,
! [X0] : mult(ld(x0,X0),x1) = mult(x1,mult(X0,x1)),
inference(superposition,[],[f433,f1]) ).
fof(f507,plain,
! [X0] : rd(X0,x0) = mult(x0,mult(x1,mult(X0,x1))),
inference(backward_demodulation,[],[f148,f490]) ).
fof(f536,plain,
! [X0] : mult(x1,mult(X0,x1)) = ld(x0,rd(X0,x0)),
inference(superposition,[],[f2,f507]) ).
fof(f648,plain,
! [X2,X0,X1] : rd(mult(X0,X1),X0) = rd(mult(X0,mult(X1,ld(X0,X2))),X2),
inference(superposition,[],[f4,f47]) ).
fof(f657,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(X0,mult(X1,ld(X0,unit))),
inference(superposition,[],[f5,f47]) ).
fof(f983,plain,
! [X0] : ld(x0,X0) = mult(x1,mult(mult(X0,x0),x1)),
inference(superposition,[],[f536,f4]) ).
fof(f1047,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X2)),X2) = rd(mult(X2,mult(mult(X0,X1),X2)),mult(X1,X2)),
inference(superposition,[],[f648,f8]) ).
fof(f1691,plain,
! [X2,X0,X1] : ld(X1,mult(X2,X0)) = mult(ld(X1,mult(X2,X1)),ld(X1,X0)),
inference(superposition,[],[f398,f1]) ).
fof(f1809,plain,
! [X0,X1] : mult(mult(ld(x0,mult(X0,x0)),x1),mult(X1,x1)) = mult(ld(x0,mult(X0,X1)),x1),
inference(superposition,[],[f451,f1691]) ).
fof(f1839,plain,
! [X0,X1] : mult(mult(ld(x0,mult(X0,x0)),x1),mult(X1,x1)) = mult(x1,mult(mult(X0,X1),x1)),
inference(forward_demodulation,[],[f1809,f490]) ).
fof(f1863,plain,
! [X0,X1] : mult(x1,mult(mult(X0,X1),x1)) = mult(mult(x1,mult(mult(X0,x0),x1)),mult(X1,x1)),
inference(forward_demodulation,[],[f1839,f490]) ).
fof(f1878,plain,
! [X0,X1] : mult(ld(x0,X0),mult(X1,x1)) = mult(x1,mult(mult(X0,X1),x1)),
inference(forward_demodulation,[],[f1863,f983]) ).
fof(f2195,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,X0),X2)) = rd(mult(mult(X1,X2),X0),X2),
inference(superposition,[],[f162,f2]) ).
fof(f2826,plain,
! [X2,X0,X1] : mult(rd(X0,X1),rd(mult(X1,X2),X1)) = rd(mult(X0,X2),X1),
inference(superposition,[],[f2195,f3]) ).
fof(f2981,plain,
! [X2,X0,X1] : rd(mult(X2,X1),X2) = ld(rd(X0,X2),rd(mult(X0,X1),X2)),
inference(superposition,[],[f2,f2826]) ).
fof(f3090,plain,
! [X2,X0,X1] : rd(mult(ld(X0,X1),X2),ld(X0,X1)) = ld(X0,rd(mult(X1,X2),ld(X0,X1))),
inference(superposition,[],[f2981,f76]) ).
fof(f3130,plain,
! [X0,X1] : rd(mult(X1,X0),X1) = ld(rd(unit,X1),rd(X0,X1)),
inference(superposition,[],[f2981,f6]) ).
fof(f3571,plain,
! [X0,X1] : rd(mult(X1,mult(X0,X1)),X1) = ld(rd(unit,X1),X0),
inference(superposition,[],[f3130,f4]) ).
fof(f3608,plain,
! [X2,X0,X1] : rd(mult(X2,mult(mult(X0,X1),X2)),mult(X1,X2)) = ld(rd(unit,X2),X0),
inference(backward_demodulation,[],[f1047,f3571]) ).
fof(f3697,plain,
! [X0] : mult(mult(X0,ld(x0,unit)),x1) = mult(x1,mult(rd(mult(x0,X0),x0),x1)),
inference(superposition,[],[f433,f657]) ).
fof(f3708,plain,
! [X0] : mult(mult(X0,ld(x0,unit)),x1) = mult(x1,mult(x0,mult(X0,ld(x0,x1)))),
inference(forward_demodulation,[],[f3697,f47]) ).
fof(f3753,plain,
! [X0] : mult(mult(X0,x1),mult(unit,x1)) = mult(x1,mult(x0,mult(X0,ld(x0,x1)))),
inference(forward_demodulation,[],[f3708,f451]) ).
fof(f3790,plain,
! [X0] : mult(mult(X0,x1),x1) = mult(x1,mult(x0,mult(X0,ld(x0,x1)))),
inference(forward_demodulation,[],[f3753,f6]) ).
fof(f3853,plain,
! [X0] : mult(x1,mult(x0,X0)) = mult(mult(rd(X0,ld(x0,x1)),x1),x1),
inference(superposition,[],[f3790,f3]) ).
fof(f10592,plain,
! [X2,X0,X1] : mult(X0,mult(mult(X1,X2),X0)) = mult(ld(rd(unit,X0),X1),mult(X2,X0)),
inference(superposition,[],[f3,f3608]) ).
fof(f30767,plain,
! [X0,X1] : mult(x1,mult(x0,mult(mult(X0,ld(x0,x1)),X1))) = mult(mult(mult(X0,rd(mult(ld(x0,x1),X1),ld(x0,x1))),x1),x1),
inference(superposition,[],[f3853,f2195]) ).
fof(f30796,plain,
! [X0,X1] : mult(mult(X1,mult(rd(X0,ld(x0,x1)),x1)),x1) = mult(mult(X1,x1),ld(x1,mult(x1,mult(x0,X0)))),
inference(superposition,[],[f8,f3853]) ).
fof(f30854,plain,
! [X0,X1] : mult(mult(X1,x1),mult(x0,X0)) = mult(mult(X1,mult(rd(X0,ld(x0,x1)),x1)),x1),
inference(forward_demodulation,[],[f30796,f2]) ).
fof(f30870,plain,
! [X0,X1] : mult(x1,mult(x0,mult(mult(X0,ld(x0,x1)),X1))) = mult(mult(mult(X0,ld(x0,rd(mult(x1,X1),ld(x0,x1)))),x1),x1),
inference(forward_demodulation,[],[f30767,f3090]) ).
fof(f30895,plain,
! [X0,X1] : mult(x1,mult(x0,mult(mult(X0,ld(x0,x1)),X1))) = mult(mult(mult(X0,x1),mult(rd(mult(x1,X1),ld(x0,x1)),x1)),x1),
inference(forward_demodulation,[],[f30870,f451]) ).
fof(f30908,plain,
! [X0,X1] : mult(x1,mult(x0,mult(mult(X0,ld(x0,x1)),X1))) = mult(mult(mult(X0,x1),x1),mult(x0,mult(x1,X1))),
inference(forward_demodulation,[],[f30895,f30854]) ).
fof(f31173,plain,
! [X0,X1] : mult(x1,mult(x0,mult(mult(rd(X0,ld(x0,x1)),ld(x0,x1)),X1))) = mult(mult(x1,mult(x0,X0)),mult(x0,mult(x1,X1))),
inference(superposition,[],[f30908,f3853]) ).
fof(f31272,plain,
! [X0,X1] : mult(mult(x1,mult(x0,X0)),mult(x0,mult(x1,X1))) = mult(x1,mult(x0,mult(X0,X1))),
inference(forward_demodulation,[],[f31173,f3]) ).
fof(f31705,plain,
! [X0,X1] : mult(x1,mult(x0,mult(ld(x0,X0),X1))) = mult(mult(x1,X0),mult(x0,mult(x1,X1))),
inference(superposition,[],[f31272,f1]) ).
fof(f31997,plain,
! [X0,X1] : mult(x1,mult(x0,mult(ld(x0,X1),mult(mult(X0,x0),x1)))) = mult(mult(x1,X1),mult(x0,ld(x0,X0))),
inference(superposition,[],[f31705,f983]) ).
fof(f32110,plain,
! [X0,X1] : mult(mult(x1,X1),X0) = mult(x1,mult(x0,mult(ld(x0,X1),mult(mult(X0,x0),x1)))),
inference(forward_demodulation,[],[f31997,f1]) ).
fof(f32151,plain,
! [X0,X1] : mult(mult(x1,X1),X0) = mult(x1,mult(x0,mult(x1,mult(mult(X1,mult(X0,x0)),x1)))),
inference(forward_demodulation,[],[f32110,f1878]) ).
fof(f32183,plain,
! [X0,X1] : mult(mult(x1,X1),X0) = mult(x1,rd(mult(X1,mult(X0,x0)),x0)),
inference(forward_demodulation,[],[f32151,f507]) ).
fof(f32240,plain,
! [X0,X1] : mult(mult(x1,ld(rd(unit,x0),X0)),X1) = mult(x1,rd(mult(x0,mult(mult(X0,X1),x0)),x0)),
inference(superposition,[],[f32183,f10592]) ).
fof(f32260,plain,
! [X0] : mult(mult(x1,x0),X0) = mult(x1,ld(rd(unit,x0),X0)),
inference(superposition,[],[f32183,f3571]) ).
fof(f32274,plain,
! [X0,X1] : ld(x1,mult(mult(x1,X0),X1)) = rd(mult(X0,mult(X1,x0)),x0),
inference(superposition,[],[f2,f32183]) ).
fof(f32404,plain,
! [X0,X1] : mult(mult(x1,ld(rd(unit,x0),X0)),X1) = mult(x1,ld(x1,mult(mult(x1,x0),mult(X0,X1)))),
inference(forward_demodulation,[],[f32240,f32274]) ).
fof(f32453,plain,
! [X0,X1] : mult(mult(x1,x0),mult(X0,X1)) = mult(mult(x1,ld(rd(unit,x0),X0)),X1),
inference(forward_demodulation,[],[f32404,f1]) ).
fof(f32471,plain,
! [X0,X1] : mult(mult(x1,x0),mult(X0,X1)) = mult(mult(mult(x1,x0),X0),X1),
inference(forward_demodulation,[],[f32453,f32260]) ).
fof(f32492,plain,
mult(mult(x1,x0),mult(x2,x3)) != mult(mult(x1,x0),mult(x2,x3)),
inference(backward_demodulation,[],[f11,f32471]) ).
fof(f32493,plain,
$false,
inference(trivial_inequality_removal,[],[f32492]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP664-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n026.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 27 10:35:57 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 146.51/21.82 % (2638129)Detected a unit-equality problem, will run specialized UEQ schedule.
% 146.51/21.82 % (2638135)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=134233786:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 146.51/21.82 % (2638134)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=1461754827:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 146.51/21.82 % (2638136)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2455241940:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 146.51/21.82 % (2638137)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3453222856:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 146.51/21.82 % (2638138)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=92307098:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 146.51/21.82 % (2638140)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=13653183:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 146.51/21.82 % (2638139)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2257371895:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 146.51/21.82 % (2638137)Instruction limit reached!
% 146.51/21.82 % (2638137)------------------------------
% 146.51/21.82 % (2638137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.51/21.82 % (2638137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.51/21.82 % (2638137)CaDiCaL version: 2.1.3
% 146.51/21.82 % (2638137)Termination reason: Instruction limit
% 146.51/21.82 % (2638137)Termination phase: Saturation
% 146.51/21.82 % (2638137)Time elapsed: 0.126 s
% 146.51/21.82 % (2638137)Peak memory usage: 89 MB
% 146.51/21.82 % (2638137)Instructions burned: 137 (million)
% 146.51/21.82 % (2638138)Instruction limit reached!
% 146.51/21.82 % (2638138)------------------------------
% 146.51/21.82 % (2638138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.51/21.82 % (2638138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.51/21.82 % (2638138)CaDiCaL version: 2.1.3
% 146.51/21.82 % (2638138)Termination reason: Instruction limit
% 146.51/21.82 % (2638138)Termination phase: Saturation
% 146.51/21.82 % (2638138)Time elapsed: 0.172 s
% 146.51/21.82 % (2638138)Peak memory usage: 89 MB
% 146.51/21.82 % (2638138)Instructions burned: 181 (million)
% 146.51/21.82 % (2638139)Instruction limit reached!
% 146.51/21.82 % (2638139)------------------------------
% 146.51/21.82 % (2638139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.51/21.82 % (2638139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.51/21.82 % (2638139)CaDiCaL version: 2.1.3
% 146.51/21.82 % (2638139)Termination reason: Instruction limit
% 146.51/21.82 % (2638139)Termination phase: Saturation
% 146.51/21.82 % (2638139)Time elapsed: 0.252 s
% 146.51/21.82 % (2638139)Peak memory usage: 90 MB
% 146.51/21.82 % (2638139)Instructions burned: 257 (million)
% 146.51/21.82 % (2638148)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=262745364:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 146.51/21.82 % (2638149)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4058197678:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 146.51/21.82 % (2638150)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=869678922:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 146.51/21.82 % (2638150)Instruction limit reached!
% 146.51/21.82 % (2638150)------------------------------
% 146.51/21.82 % (2638150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.51/21.82 % (2638150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.51/21.82 % (2638150)CaDiCaL version: 2.1.3
% 146.51/21.82 % (2638150)Termination reason: Instruction limit
% 146.51/21.82 % (2638150)Termination phase: Saturation
% 146.51/21.82 % (2638150)Time elapsed: 0.109 s
% 91.75/25.76 % (2638150)Peak memory usage: 92 MB
% 91.75/25.76 % (2638150)Instructions burned: 218 (million)
% 91.75/25.76 % (2638154)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=324137521:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 91.75/25.76 % (2638154)Instruction limit reached!
% 91.75/25.76 % (2638154)------------------------------
% 91.75/25.76 % (2638154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638154)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638154)Termination reason: Instruction limit
% 91.75/25.76 % (2638154)Termination phase: Saturation
% 91.75/25.76 % (2638154)Time elapsed: 0.174 s
% 91.75/25.76 % (2638154)Peak memory usage: 94 MB
% 91.75/25.76 % (2638154)Instructions burned: 318 (million)
% 91.75/25.76 % (2638140)Instruction limit reached!
% 91.75/25.76 % (2638140)------------------------------
% 91.75/25.76 % (2638140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638140)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638140)Termination reason: Instruction limit
% 91.75/25.76 % (2638140)Termination phase: Saturation
% 91.75/25.76 % (2638140)Time elapsed: 1.106 s
% 91.75/25.76 % (2638140)Peak memory usage: 101 MB
% 91.75/25.76 % (2638140)Instructions burned: 1187 (million)
% 91.75/25.76 % (2638156)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=619642448:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 91.75/25.76 % (2638157)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1111186560:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2986 on theBenchmark for (2986ds/2836Mi)
% 91.75/25.76 % (2638148)Instruction limit reached!
% 91.75/25.76 % (2638148)------------------------------
% 91.75/25.76 % (2638148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638148)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638148)Termination reason: Instruction limit
% 91.75/25.76 % (2638148)Termination phase: Saturation
% 91.75/25.76 % (2638148)Time elapsed: 2.127 s
% 91.75/25.76 % (2638148)Peak memory usage: 142 MB
% 91.75/25.76 % (2638148)Instructions burned: 2051 (million)
% 91.75/25.76 % (2638160)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3181991823:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2972 on theBenchmark for (2972ds/14534Mi)
% 91.75/25.76 % (2638157)Instruction limit reached!
% 91.75/25.76 % (2638157)------------------------------
% 91.75/25.76 % (2638157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638157)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638157)Termination reason: Instruction limit
% 91.75/25.76 % (2638157)Termination phase: Saturation
% 91.75/25.76 % (2638157)Time elapsed: 3.197 s
% 91.75/25.76 % (2638157)Peak memory usage: 135 MB
% 91.75/25.76 % (2638157)Instructions burned: 2837 (million)
% 91.75/25.76 % (2638162)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=2976416592:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2952 on theBenchmark for (2952ds/11832Mi)
% 91.75/25.76 % (2638149)Instruction limit reached!
% 91.75/25.76 % (2638149)------------------------------
% 91.75/25.76 % (2638149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638149)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638149)Termination reason: Instruction limit
% 91.75/25.76 % (2638149)Termination phase: Saturation
% 91.75/25.76 % (2638149)Time elapsed: 5.043 s
% 91.75/25.76 % (2638149)Peak memory usage: 169 MB
% 91.75/25.76 % (2638149)Instructions burned: 4949 (million)
% 91.75/25.76 % (2638164)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=730502108:i=2279:fgj=on:bd=all_2943 on theBenchmark for (2943ds/2279Mi)
% 91.75/25.76 % (2638164)Instruction limit reached!
% 91.75/25.76 % (2638164)------------------------------
% 91.75/25.76 % (2638164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638164)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638164)Termination reason: Instruction limit
% 91.75/25.76 % (2638164)Termination phase: Saturation
% 91.75/25.76 % (2638164)Time elapsed: 2.239 s
% 91.75/25.76 % (2638164)Peak memory usage: 138 MB
% 91.75/25.76 % (2638164)Instructions burned: 2279 (million)
% 91.75/25.76 % (2638156)Instruction limit reached!
% 91.75/25.76 % (2638156)------------------------------
% 91.75/25.76 % (2638156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638156)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638156)Termination reason: Instruction limit
% 91.75/25.76 % (2638156)Termination phase: Saturation
% 91.75/25.76 % (2638156)Time elapsed: 6.707 s
% 91.75/25.76 % (2638156)Peak memory usage: 244 MB
% 91.75/25.76 % (2638156)Instructions burned: 12126 (million)
% 91.75/25.76 % (2638167)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=846190842:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2918 on theBenchmark for (2918ds/21755Mi)
% 91.75/25.76 % (2638166)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=1659494518:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2918 on theBenchmark for (2918ds/6225Mi)
% 91.75/25.76 % (2638166)Instruction limit reached!
% 91.75/25.76 % (2638166)------------------------------
% 91.75/25.76 % (2638166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638166)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638166)Termination reason: Instruction limit
% 91.75/25.76 % (2638166)Termination phase: Saturation
% 91.75/25.76 % (2638166)Time elapsed: 6.192 s
% 91.75/25.76 % (2638166)Peak memory usage: 169 MB
% 91.75/25.76 % (2638166)Instructions burned: 6225 (million)
% 91.75/25.76 % (2638170)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=2853245083:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2853 on theBenchmark for (2853ds/16427Mi)
% 91.75/25.76 % (2638162)Instruction limit reached!
% 91.75/25.76 % (2638162)------------------------------
% 91.75/25.76 % (2638162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638162)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638162)Termination reason: Instruction limit
% 91.75/25.76 % (2638162)Termination phase: Saturation
% 91.75/25.76 % (2638162)Time elapsed: 13.025 s
% 91.75/25.76 % (2638162)Peak memory usage: 233 MB
% 91.75/25.76 % (2638162)Instructions burned: 11832 (million)
% 91.75/25.76 % (2638160)Instruction limit reached!
% 91.75/25.76 % (2638160)------------------------------
% 91.75/25.76 % (2638160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638160)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638160)Termination reason: Instruction limit
% 91.75/25.76 % (2638160)Termination phase: Saturation
% 91.75/25.76 % (2638160)Time elapsed: 15.251 s
% 91.75/25.76 % (2638160)Peak memory usage: 258 MB
% 91.75/25.76 % (2638160)Instructions burned: 14534 (million)
% 91.75/25.76 % (2638172)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=2677353007:i=9356:fgj=on:bd=preordered:av=off_2818 on theBenchmark for (2818ds/9356Mi)
% 91.75/25.76 % (2638173)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=1768912318:i=2070:kws=inv_precedence:slsql=off:bd=all_2817 on theBenchmark for (2817ds/2070Mi)
% 91.75/25.76 % (2638173)Instruction limit reached!
% 91.75/25.76 % (2638173)------------------------------
% 91.75/25.76 % (2638173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638173)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638173)Termination reason: Instruction limit
% 91.75/25.76 % (2638173)Termination phase: Saturation
% 91.75/25.76 % (2638173)Time elapsed: 2.034 s
% 91.75/25.76 % (2638173)Peak memory usage: 127 MB
% 91.75/25.76 % (2638173)Instructions burned: 2071 (million)
% 91.75/25.76 % (2638176)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=1546208709:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2794 on theBenchmark for (2794ds/6461Mi)
% 91.75/25.76 % (2638176)Refutation not found, incomplete strategy
% 91.75/25.76 % (2638176)------------------------------
% 91.75/25.76 % (2638176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638176)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638176)Termination reason: Refutation not found, incomplete strategy
% 91.75/25.76 % (2638176)Time elapsed: 0.883 s
% 91.75/25.76 % (2638176)Peak memory usage: 127 MB
% 91.75/25.76 % (2638176)Instructions burned: 860 (million)
% 91.75/25.76 % (2638176)------------------------------
% 91.75/25.76 % (2638176)------------------------------
% 91.75/25.76 % (2638167)Instruction limit reached!
% 91.75/25.76 % (2638167)------------------------------
% 91.75/25.76 % (2638167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638167)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638167)Termination reason: Instruction limit
% 91.75/25.76 % (2638167)Termination phase: Saturation
% 91.75/25.76 % (2638167)Time elapsed: 14.548 s
% 91.75/25.76 % (2638167)Peak memory usage: 265 MB
% 91.75/25.76 % (2638167)Instructions burned: 22216 (million)
% 91.75/25.76 % (2638178)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=1862625648:i=2310:bd=all:ss=included_2779 on theBenchmark for (2779ds/2310Mi)
% 91.75/25.76 % (2638180)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=1934964924:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2770 on theBenchmark for (2770ds/2616Mi)
% 91.75/25.76 % (2638180)Refutation not found, incomplete strategy
% 91.75/25.76 % (2638180)------------------------------
% 91.75/25.76 % (2638180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638180)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638180)Termination reason: Refutation not found, incomplete strategy
% 91.75/25.76 % (2638180)Time elapsed: 0.002 s
% 91.75/25.76 % (2638180)Peak memory usage: 87 MB
% 91.75/25.76 % (2638180)------------------------------
% 91.75/25.76 % (2638180)------------------------------
% 91.75/25.76 % (2638182)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=2422303761:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2764 on theBenchmark for (2764ds/30521Mi)
% 91.75/25.76 % (2638170)First to succeed.
% 91.75/25.76 % (2638170)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2638129"
% 91.75/25.76 % (2638178)Instruction limit reached!
% 91.75/25.76 % (2638178)------------------------------
% 91.75/25.76 % (2638178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/25.76 % (2638178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/25.76 % (2638178)CaDiCaL version: 2.1.3
% 91.75/25.76 % (2638178)Termination reason: Instruction limit
% 91.75/25.76 % (2638178)Termination phase: Saturation
% 91.75/25.76 % (2638178)Time elapsed: 1.080 s
% 91.75/25.76 % (2638178)Peak memory usage: 106 MB
% 91.75/25.76 % (2638178)Instructions burned: 2311 (million)
% 91.75/25.76 % (2638184)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=2408039330:i=3258:fgj=on:bd=all:ins=1_2760 on theBenchmark for (2760ds/3258Mi)
% 91.75/25.76 % (2638170)Refutation found. Thanks to Tanya!
% 91.75/25.76 % SZS status Unsatisfiable for theBenchmark
% 91.75/25.76 % SZS output start Proof for theBenchmark
% See solution above
% 173.90/26.14 % (2638170)------------------------------
% 173.90/26.14 % (2638170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.90/26.14 % (2638170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.90/26.14 % (2638170)CaDiCaL version: 2.1.3
% 173.90/26.14 % (2638170)Termination reason: Refutation
% 173.90/26.14 % (2638170)Time elapsed: 9.041 s
% 173.90/26.14 % (2638170)Peak memory usage: 197 MB
% 173.90/26.14 % (2638170)Instructions burned: 8481 (million)
% 173.90/26.14 % (2638170)------------------------------
% 173.90/26.14 % (2638170)------------------------------
% 173.90/26.14 % (2638129)Success in time 24.453 s
% 173.90/26.14 % Vampire exiting
%------------------------------------------------------------------------------