%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP661-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 10:15:29 AM UTC 2026
% Result : Unsatisfiable 49.35s 14.21s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 73 ( 73 unt; 0 def)
% Number of atoms : 73 ( 72 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 : 134 ( 134 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
mult(op_c,op_d) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f10,plain,
unit = mult(op_c,op_d),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
mult(mult(op_d,op_c),mult(a,b)) != mult(mult(mult(op_d,op_c),a),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f14,plain,
! [X0] : mult(op_c,mult(X0,op_d)) = mult(rd(mult(op_c,X0),op_c),unit),
inference(superposition,[],[f7,f10]) ).
fof(f16,plain,
! [X0] : mult(op_c,mult(X0,op_d)) = rd(mult(op_c,X0),op_c),
inference(forward_demodulation,[],[f14,f5]) ).
fof(f26,plain,
! [X0] : mult(mult(op_c,X0),op_d) = mult(unit,ld(op_d,mult(X0,op_d))),
inference(superposition,[],[f8,f10]) ).
fof(f34,plain,
! [X0] : mult(mult(op_c,X0),op_d) = ld(op_d,mult(X0,op_d)),
inference(forward_demodulation,[],[f26,f6]) ).
fof(f55,plain,
! [X2,X0,X1] : mult(X1,mult(X2,ld(X1,X0))) = mult(rd(mult(X1,X2),X1),X0),
inference(superposition,[],[f7,f1]) ).
fof(f56,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),X2)) = mult(rd(X0,X1),mult(X1,X2)),
inference(superposition,[],[f7,f1]) ).
fof(f120,plain,
! [X2,X0,X1] : mult(mult(X1,X2),ld(X2,X0)) = mult(mult(X1,rd(X0,X2)),X2),
inference(superposition,[],[f8,f3]) ).
fof(f128,plain,
! [X0] : mult(op_c,mult(ld(op_c,X0),op_d)) = rd(X0,op_c),
inference(superposition,[],[f16,f1]) ).
fof(f133,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f148,plain,
! [X2,X0,X1] : mult(X0,rd(X2,X1)) = rd(mult(mult(X0,X1),ld(X1,X2)),X1),
inference(superposition,[],[f4,f120]) ).
fof(f162,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(X1,mult(ld(X1,mult(X0,X1)),X2)),
inference(superposition,[],[f56,f4]) ).
fof(f382,plain,
! [X2,X0,X1] : mult(ld(X1,mult(X0,X1)),X2) = ld(X1,mult(X0,mult(X1,X2))),
inference(superposition,[],[f2,f162]) ).
fof(f581,plain,
! [X2,X0,X1] : rd(mult(X0,X1),X0) = rd(mult(X0,mult(X1,ld(X0,X2))),X2),
inference(superposition,[],[f4,f55]) ).
fof(f591,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(X0,mult(X1,ld(X0,unit))),
inference(superposition,[],[f5,f55]) ).
fof(f672,plain,
! [X0] : mult(X0,op_d) = mult(op_d,mult(mult(op_c,X0),op_d)),
inference(superposition,[],[f1,f34]) ).
fof(f683,plain,
! [X0] : mult(ld(op_c,X0),op_d) = mult(op_d,mult(X0,op_d)),
inference(superposition,[],[f672,f1]) ).
fof(f700,plain,
! [X0] : rd(X0,op_c) = mult(op_c,mult(op_d,mult(X0,op_d))),
inference(backward_demodulation,[],[f128,f683]) ).
fof(f753,plain,
! [X0,X1] : mult(mult(X1,ld(op_c,X0)),op_d) = mult(mult(X1,op_d),ld(op_d,mult(op_d,mult(X0,op_d)))),
inference(superposition,[],[f8,f683]) ).
fof(f764,plain,
! [X0,X1] : mult(mult(X1,ld(op_c,X0)),op_d) = mult(mult(X1,op_d),mult(X0,op_d)),
inference(forward_demodulation,[],[f753,f2]) ).
fof(f899,plain,
! [X2,X0,X1] : ld(X1,mult(X2,X0)) = mult(ld(X1,mult(X2,X1)),ld(X1,X0)),
inference(superposition,[],[f382,f1]) ).
fof(f912,plain,
! [X0] : mult(ld(op_c,mult(X0,op_c)),op_d) = ld(op_c,mult(X0,unit)),
inference(superposition,[],[f382,f10]) ).
fof(f942,plain,
! [X0] : ld(op_c,X0) = mult(ld(op_c,mult(X0,op_c)),op_d),
inference(forward_demodulation,[],[f912,f5]) ).
fof(f950,plain,
! [X0] : ld(op_c,X0) = mult(op_d,mult(mult(X0,op_c),op_d)),
inference(forward_demodulation,[],[f942,f683]) ).
fof(f1175,plain,
! [X0,X1] : mult(mult(ld(op_c,mult(X0,op_c)),op_d),mult(X1,op_d)) = mult(ld(op_c,mult(X0,X1)),op_d),
inference(superposition,[],[f764,f899]) ).
fof(f1192,plain,
! [X0,X1] : mult(mult(ld(op_c,mult(X0,op_c)),op_d),mult(X1,op_d)) = mult(op_d,mult(mult(X0,X1),op_d)),
inference(forward_demodulation,[],[f1175,f683]) ).
fof(f1208,plain,
! [X0,X1] : mult(op_d,mult(mult(X0,X1),op_d)) = mult(mult(op_d,mult(mult(X0,op_c),op_d)),mult(X1,op_d)),
inference(forward_demodulation,[],[f1192,f683]) ).
fof(f1218,plain,
! [X0,X1] : mult(op_d,mult(mult(X0,X1),op_d)) = mult(ld(op_c,X0),mult(X1,op_d)),
inference(forward_demodulation,[],[f1208,f950]) ).
fof(f1233,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X2)),X2) = rd(mult(X2,mult(mult(X0,X1),X2)),mult(X1,X2)),
inference(superposition,[],[f581,f8]) ).
fof(f1589,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,X0),X2)) = rd(mult(mult(X1,X2),X0),X2),
inference(superposition,[],[f148,f2]) ).
fof(f1721,plain,
! [X2,X0,X1] : mult(rd(X0,X1),rd(mult(X1,X2),X1)) = rd(mult(X0,X2),X1),
inference(superposition,[],[f1589,f3]) ).
fof(f1845,plain,
! [X2,X0,X1] : rd(mult(X2,X1),X2) = ld(rd(X0,X2),rd(mult(X0,X1),X2)),
inference(superposition,[],[f2,f1721]) ).
fof(f2203,plain,
! [X2,X0,X1] : rd(mult(ld(X0,X1),X2),ld(X0,X1)) = ld(X0,rd(mult(X1,X2),ld(X0,X1))),
inference(superposition,[],[f1845,f133]) ).
fof(f2234,plain,
! [X0,X1] : rd(mult(X1,X0),X1) = ld(rd(unit,X1),rd(X0,X1)),
inference(superposition,[],[f1845,f6]) ).
fof(f2332,plain,
! [X0,X1] : rd(mult(X1,mult(X0,X1)),X1) = ld(rd(unit,X1),X0),
inference(superposition,[],[f2234,f4]) ).
fof(f2360,plain,
! [X2,X0,X1] : rd(mult(X2,mult(mult(X0,X1),X2)),mult(X1,X2)) = ld(rd(unit,X2),X0),
inference(backward_demodulation,[],[f1233,f2332]) ).
fof(f3780,plain,
! [X0] : mult(mult(X0,ld(op_c,unit)),op_d) = mult(op_d,mult(rd(mult(op_c,X0),op_c),op_d)),
inference(superposition,[],[f672,f591]) ).
fof(f3797,plain,
! [X0] : mult(mult(X0,ld(op_c,unit)),op_d) = mult(op_d,mult(op_c,mult(X0,ld(op_c,op_d)))),
inference(forward_demodulation,[],[f3780,f55]) ).
fof(f3847,plain,
! [X0] : mult(mult(X0,op_d),mult(unit,op_d)) = mult(op_d,mult(op_c,mult(X0,ld(op_c,op_d)))),
inference(forward_demodulation,[],[f3797,f764]) ).
fof(f3887,plain,
! [X0] : mult(mult(X0,op_d),op_d) = mult(op_d,mult(op_c,mult(X0,ld(op_c,op_d)))),
inference(forward_demodulation,[],[f3847,f6]) ).
fof(f3932,plain,
! [X0] : mult(op_d,mult(op_c,X0)) = mult(mult(rd(X0,ld(op_c,op_d)),op_d),op_d),
inference(superposition,[],[f3887,f3]) ).
fof(f14244,plain,
! [X2,X0,X1] : mult(X0,mult(mult(X1,X2),X0)) = mult(ld(rd(unit,X0),X1),mult(X2,X0)),
inference(superposition,[],[f3,f2360]) ).
fof(f21895,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(mult(X0,ld(op_c,op_d)),X1))) = mult(mult(mult(X0,rd(mult(ld(op_c,op_d),X1),ld(op_c,op_d))),op_d),op_d),
inference(superposition,[],[f3932,f1589]) ).
fof(f21916,plain,
! [X0,X1] : mult(mult(X1,mult(rd(X0,ld(op_c,op_d)),op_d)),op_d) = mult(mult(X1,op_d),ld(op_d,mult(op_d,mult(op_c,X0)))),
inference(superposition,[],[f8,f3932]) ).
fof(f21970,plain,
! [X0,X1] : mult(mult(X1,op_d),mult(op_c,X0)) = mult(mult(X1,mult(rd(X0,ld(op_c,op_d)),op_d)),op_d),
inference(forward_demodulation,[],[f21916,f2]) ).
fof(f21982,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(mult(X0,ld(op_c,op_d)),X1))) = mult(mult(mult(X0,ld(op_c,rd(mult(op_d,X1),ld(op_c,op_d)))),op_d),op_d),
inference(forward_demodulation,[],[f21895,f2203]) ).
fof(f22002,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(mult(X0,ld(op_c,op_d)),X1))) = mult(mult(mult(X0,op_d),mult(rd(mult(op_d,X1),ld(op_c,op_d)),op_d)),op_d),
inference(forward_demodulation,[],[f21982,f764]) ).
fof(f22011,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(mult(X0,ld(op_c,op_d)),X1))) = mult(mult(mult(X0,op_d),op_d),mult(op_c,mult(op_d,X1))),
inference(forward_demodulation,[],[f22002,f21970]) ).
fof(f27450,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(mult(rd(X0,ld(op_c,op_d)),ld(op_c,op_d)),X1))) = mult(mult(op_d,mult(op_c,X0)),mult(op_c,mult(op_d,X1))),
inference(superposition,[],[f22011,f3932]) ).
fof(f27543,plain,
! [X0,X1] : mult(mult(op_d,mult(op_c,X0)),mult(op_c,mult(op_d,X1))) = mult(op_d,mult(op_c,mult(X0,X1))),
inference(forward_demodulation,[],[f27450,f3]) ).
fof(f27970,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(ld(op_c,X0),X1))) = mult(mult(op_d,X0),mult(op_c,mult(op_d,X1))),
inference(superposition,[],[f27543,f1]) ).
fof(f28468,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(ld(op_c,X1),mult(mult(X0,op_c),op_d)))) = mult(mult(op_d,X1),mult(op_c,ld(op_c,X0))),
inference(superposition,[],[f27970,f950]) ).
fof(f28579,plain,
! [X0,X1] : mult(mult(op_d,X1),X0) = mult(op_d,mult(op_c,mult(ld(op_c,X1),mult(mult(X0,op_c),op_d)))),
inference(forward_demodulation,[],[f28468,f1]) ).
fof(f28612,plain,
! [X0,X1] : mult(mult(op_d,X1),X0) = mult(op_d,mult(op_c,mult(op_d,mult(mult(X1,mult(X0,op_c)),op_d)))),
inference(forward_demodulation,[],[f28579,f1218]) ).
fof(f28643,plain,
! [X0,X1] : mult(mult(op_d,X1),X0) = mult(op_d,rd(mult(X1,mult(X0,op_c)),op_c)),
inference(forward_demodulation,[],[f28612,f700]) ).
fof(f28707,plain,
! [X0,X1] : mult(mult(op_d,ld(rd(unit,op_c),X0)),X1) = mult(op_d,rd(mult(op_c,mult(mult(X0,X1),op_c)),op_c)),
inference(superposition,[],[f28643,f14244]) ).
fof(f28727,plain,
! [X0] : mult(mult(op_d,op_c),X0) = mult(op_d,ld(rd(unit,op_c),X0)),
inference(superposition,[],[f28643,f2332]) ).
fof(f28745,plain,
! [X0,X1] : rd(mult(X0,mult(X1,op_c)),op_c) = ld(op_d,mult(mult(op_d,X0),X1)),
inference(superposition,[],[f2,f28643]) ).
fof(f28856,plain,
! [X0,X1] : mult(mult(op_d,ld(rd(unit,op_c),X0)),X1) = mult(op_d,ld(op_d,mult(mult(op_d,op_c),mult(X0,X1)))),
inference(forward_demodulation,[],[f28707,f28745]) ).
fof(f28907,plain,
! [X0,X1] : mult(mult(op_d,ld(rd(unit,op_c),X0)),X1) = mult(mult(op_d,op_c),mult(X0,X1)),
inference(forward_demodulation,[],[f28856,f1]) ).
fof(f28934,plain,
! [X0,X1] : mult(mult(op_d,op_c),mult(X0,X1)) = mult(mult(mult(op_d,op_c),X0),X1),
inference(forward_demodulation,[],[f28907,f28727]) ).
fof(f28973,plain,
mult(mult(op_d,op_c),mult(a,b)) != mult(mult(op_d,op_c),mult(a,b)),
inference(backward_demodulation,[],[f11,f28934]) ).
fof(f28974,plain,
$false,
inference(trivial_inequality_removal,[],[f28973]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP661-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n007.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 10:31:11 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
% 86.82/13.13 % (1218008)Detected a unit-equality problem, will run specialized UEQ schedule.
% 86.82/13.13 % (1218013)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=133076786:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 86.82/13.13 % (1218016)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1367007285:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 86.82/13.13 % (1218014)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=3717883921:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 86.82/13.13 % (1218015)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1562213893:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 86.82/13.13 % (1218019)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1939041828:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 86.82/13.13 % (1218017)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1318358798:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 86.82/13.13 % (1218018)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4235311926:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 86.82/13.13 % (1218016)Instruction limit reached!
% 86.82/13.13 % (1218016)------------------------------
% 86.82/13.13 % (1218016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.82/13.13 % (1218016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/13.13 % (1218016)CaDiCaL version: 2.1.3
% 86.82/13.13 % (1218016)Termination reason: Instruction limit
% 86.82/13.13 % (1218016)Termination phase: Saturation
% 86.82/13.13 % (1218016)Time elapsed: 0.078 s
% 86.82/13.13 % (1218016)Peak memory usage: 89 MB
% 86.82/13.13 % (1218016)Instructions burned: 136 (million)
% 86.82/13.13 % (1218017)Instruction limit reached!
% 86.82/13.13 % (1218017)------------------------------
% 86.82/13.13 % (1218017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.82/13.13 % (1218017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/13.13 % (1218017)CaDiCaL version: 2.1.3
% 86.82/13.13 % (1218017)Termination reason: Instruction limit
% 86.82/13.13 % (1218017)Termination phase: Saturation
% 86.82/13.13 % (1218017)Time elapsed: 0.103 s
% 86.82/13.13 % (1218017)Peak memory usage: 89 MB
% 86.82/13.13 % (1218017)Instructions burned: 182 (million)
% 86.82/13.13 % (1218018)Instruction limit reached!
% 86.82/13.13 % (1218018)------------------------------
% 86.82/13.13 % (1218018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.82/13.13 % (1218018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/13.13 % (1218018)CaDiCaL version: 2.1.3
% 86.82/13.13 % (1218018)Termination reason: Instruction limit
% 86.82/13.13 % (1218018)Termination phase: Saturation
% 86.82/13.13 % (1218018)Time elapsed: 0.154 s
% 86.82/13.13 % (1218018)Peak memory usage: 90 MB
% 86.82/13.13 % (1218018)Instructions burned: 257 (million)
% 86.82/13.13 % (1218027)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=841036950:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 86.82/13.13 % (1218028)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3913249775:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 86.82/13.13 % (1218029)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=45593:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 86.82/13.13 % (1218029)Instruction limit reached!
% 86.82/13.13 % (1218029)------------------------------
% 86.82/13.13 % (1218029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.82/13.13 % (1218029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/13.13 % (1218029)CaDiCaL version: 2.1.3
% 86.82/13.13 % (1218029)Termination reason: Instruction limit
% 86.82/13.13 % (1218029)Termination phase: Saturation
% 86.82/13.13 % (1218029)Time elapsed: 0.116 s
% 49.35/14.21 % (1218029)Peak memory usage: 90 MB
% 49.35/14.21 % (1218029)Instructions burned: 216 (million)
% 49.35/14.21 % (1218033)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=771904583:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 49.35/14.21 % (1218019)Instruction limit reached!
% 49.35/14.21 % (1218019)------------------------------
% 49.35/14.21 % (1218019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218019)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218019)Termination reason: Instruction limit
% 49.35/14.21 % (1218019)Termination phase: Saturation
% 49.35/14.21 % (1218019)Time elapsed: 0.660 s
% 49.35/14.21 % (1218019)Peak memory usage: 101 MB
% 49.35/14.21 % (1218019)Instructions burned: 1188 (million)
% 49.35/14.21 % (1218033)Instruction limit reached!
% 49.35/14.21 % (1218033)------------------------------
% 49.35/14.21 % (1218033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218033)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218033)Termination reason: Instruction limit
% 49.35/14.21 % (1218033)Termination phase: Saturation
% 49.35/14.21 % (1218033)Time elapsed: 0.201 s
% 49.35/14.21 % (1218033)Peak memory usage: 94 MB
% 49.35/14.21 % (1218033)Instructions burned: 317 (million)
% 49.35/14.21 % (1218035)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=1093709810:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 49.35/14.21 % (1218036)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3040241719:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 49.35/14.21 % (1218027)Instruction limit reached!
% 49.35/14.21 % (1218027)------------------------------
% 49.35/14.21 % (1218027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218027)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218027)Termination reason: Instruction limit
% 49.35/14.21 % (1218027)Termination phase: Saturation
% 49.35/14.21 % (1218027)Time elapsed: 1.289 s
% 49.35/14.21 % (1218027)Peak memory usage: 142 MB
% 49.35/14.21 % (1218027)Instructions burned: 2052 (million)
% 49.35/14.21 % (1218039)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2789299046:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 49.35/14.21 % (1218036)Instruction limit reached!
% 49.35/14.21 % (1218036)------------------------------
% 49.35/14.21 % (1218036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218036)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218036)Termination reason: Instruction limit
% 49.35/14.21 % (1218036)Termination phase: Saturation
% 49.35/14.21 % (1218036)Time elapsed: 1.920 s
% 49.35/14.21 % (1218036)Peak memory usage: 138 MB
% 49.35/14.21 % (1218036)Instructions burned: 2836 (million)
% 49.35/14.21 % (1218041)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=480538623:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2970 on theBenchmark for (2970ds/11832Mi)
% 49.35/14.21 % (1218028)Instruction limit reached!
% 49.35/14.21 % (1218028)------------------------------
% 49.35/14.21 % (1218028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218028)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218028)Termination reason: Instruction limit
% 49.35/14.21 % (1218028)Termination phase: Saturation
% 49.35/14.21 % (1218028)Time elapsed: 2.960 s
% 49.35/14.21 % (1218028)Peak memory usage: 169 MB
% 49.35/14.21 % (1218028)Instructions burned: 4949 (million)
% 49.35/14.21 % (1218043)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=3098173618:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 49.35/14.21 % (1218043)Instruction limit reached!
% 49.35/14.21 % (1218043)------------------------------
% 49.35/14.21 % (1218043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218043)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218043)Termination reason: Instruction limit
% 49.35/14.21 % (1218043)Termination phase: Saturation
% 49.35/14.21 % (1218043)Time elapsed: 1.349 s
% 49.35/14.21 % (1218043)Peak memory usage: 138 MB
% 49.35/14.21 % (1218043)Instructions burned: 2281 (million)
% 49.35/14.21 % (1218045)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=269649560:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2951 on theBenchmark for (2951ds/6225Mi)
% 49.35/14.21 % (1218035)Instruction limit reached!
% 49.35/14.21 % (1218035)------------------------------
% 49.35/14.21 % (1218035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218035)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218035)Termination reason: Instruction limit
% 49.35/14.21 % (1218035)Termination phase: Saturation
% 49.35/14.21 % (1218035)Time elapsed: 7.196 s
% 49.35/14.21 % (1218035)Peak memory usage: 245 MB
% 49.35/14.21 % (1218035)Instructions burned: 12128 (million)
% 49.35/14.21 % (1218045)Instruction limit reached!
% 49.35/14.21 % (1218045)------------------------------
% 49.35/14.21 % (1218045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218045)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218045)Termination reason: Instruction limit
% 49.35/14.21 % (1218045)Termination phase: Saturation
% 49.35/14.21 % (1218045)Time elapsed: 3.183 s
% 49.35/14.21 % (1218045)Peak memory usage: 152 MB
% 49.35/14.21 % (1218045)Instructions burned: 6228 (million)
% 49.35/14.21 % (1218047)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=3919412506:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2918 on theBenchmark for (2918ds/21755Mi)
% 49.35/14.21 % (1218048)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=2695816085:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2918 on theBenchmark for (2918ds/16427Mi)
% 49.35/14.21 % (1218041)Instruction limit reached!
% 49.35/14.21 % (1218041)------------------------------
% 49.35/14.21 % (1218041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218041)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218041)Termination reason: Instruction limit
% 49.35/14.21 % (1218041)Termination phase: Saturation
% 49.35/14.21 % (1218041)Time elapsed: 7.551 s
% 49.35/14.21 % (1218041)Peak memory usage: 231 MB
% 49.35/14.21 % (1218041)Instructions burned: 11832 (million)
% 49.35/14.21 % (1218051)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=397670038:i=9356:fgj=on:bd=preordered:av=off_2893 on theBenchmark for (2893ds/9356Mi)
% 49.35/14.21 % (1218039)Instruction limit reached!
% 49.35/14.21 % (1218039)------------------------------
% 49.35/14.21 % (1218039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218039)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218039)Termination reason: Instruction limit
% 49.35/14.21 % (1218039)Termination phase: Saturation
% 49.35/14.21 % (1218039)Time elapsed: 9.062 s
% 49.35/14.21 % (1218039)Peak memory usage: 258 MB
% 49.35/14.21 % (1218039)Instructions burned: 14534 (million)
% 49.35/14.21 % (1218053)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=3197157713:i=2070:kws=inv_precedence:slsql=off:bd=all_2891 on theBenchmark for (2891ds/2070Mi)
% 49.35/14.21 % (1218053)Instruction limit reached!
% 49.35/14.21 % (1218053)------------------------------
% 49.35/14.21 % (1218053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218053)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218053)Termination reason: Instruction limit
% 49.35/14.21 % (1218053)Termination phase: Saturation
% 49.35/14.21 % (1218053)Time elapsed: 1.263 s
% 49.35/14.21 % (1218053)Peak memory usage: 128 MB
% 49.35/14.21 % (1218053)Instructions burned: 2071 (million)
% 49.35/14.21 % (1218055)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=1825994724:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2877 on theBenchmark for (2877ds/6461Mi)
% 49.35/14.21 % (1218055)Refutation not found, incomplete strategy
% 49.35/14.21 % (1218055)------------------------------
% 49.35/14.21 % (1218055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.35/14.21 % (1218055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.35/14.21 % (1218055)CaDiCaL version: 2.1.3
% 49.35/14.21 % (1218055)Termination reason: Refutation not found, incomplete strategy
% 49.35/14.21 % (1218055)Time elapsed: 0.571 s
% 49.35/14.21 % (1218055)Peak memory usage: 127 MB
% 49.35/14.21 % (1218055)Instructions burned: 855 (million)
% 49.35/14.21 % (1218048)First to succeed.
% 49.35/14.21 % (1218048)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1218008"
% 49.35/14.21 % (1218055)------------------------------
% 49.35/14.21 % (1218055)------------------------------
% 49.35/14.21 % (1218048)Refutation found. Thanks to Tanya!
% 49.35/14.21 % SZS status Unsatisfiable for theBenchmark
% 49.35/14.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/14.40 % (1218048)------------------------------
% 0.17/14.40 % (1218048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/14.40 % (1218048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/14.40 % (1218048)CaDiCaL version: 2.1.3
% 0.17/14.40 % (1218048)Termination reason: Refutation
% 0.17/14.40 % (1218048)Time elapsed: 4.755 s
% 0.17/14.40 % (1218048)Peak memory usage: 192 MB
% 0.17/14.40 % (1218048)Instructions burned: 7618 (million)
% 0.17/14.40 % (1218048)------------------------------
% 0.17/14.40 % (1218048)------------------------------
% 0.17/14.40 % (1218008)Success in time 13.344 s
% 0.17/14.40 % Vampire exiting
%------------------------------------------------------------------------------