%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP748-2 : 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 : n006.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 10:16:05 AM UTC 2026
% Result : Unsatisfiable 0.24s 3.52s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 10
% Syntax : Number of formulae : 66 ( 54 unt; 0 def)
% Number of atoms : 80 ( 79 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 4 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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; 0-2 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',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f11,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f10) ).
fof(f12,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X0,X1] :
( mult(i(X0),mult(X0,X1)) = X1
| mult(X0,X1) = mult(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11) ).
fof(f14,negated_conjecture,
mult(a,mult(b,mult(a,c))) != mult(mult(mult(a,b),a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f23,plain,
! [X0,X1] : mult(i(X0),mult(mult(X0,X1),X0)) = mult(mult(unit,X1),X0),
inference(superposition,[],[f7,f12]) ).
fof(f24,plain,
! [X0,X1] : mult(X1,X0) = mult(i(X0),mult(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f23,f6]) ).
fof(f93,plain,
! [X0,X1] : mult(mult(mult(X1,X0),X1),i(X1)) = mult(i(i(X1)),mult(mult(X0,X1),i(X1))),
inference(superposition,[],[f24,f24]) ).
fof(f106,plain,
! [X0,X1] : mult(i(i(X1)),X0) = mult(mult(mult(X1,X0),X1),i(X1)),
inference(forward_demodulation,[],[f93,f8]) ).
fof(f112,plain,
! [X0,X1] : mult(X1,X0) = mult(i(i(X1)),X0),
inference(forward_demodulation,[],[f106,f8]) ).
fof(f134,plain,
! [X0] : mult(X0,unit) = i(i(X0)),
inference(superposition,[],[f5,f112]) ).
fof(f135,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[],[f134,f5]) ).
fof(f257,plain,
! [X0,X1] : i(X1) = ld(mult(X0,X1),X0),
inference(superposition,[],[f2,f8]) ).
fof(f259,plain,
! [X0,X1] :
( mult(X1,X0) = ld(i(X1),X0)
| mult(X0,X1) = mult(X1,X0) ),
inference(superposition,[],[f2,f13]) ).
fof(f261,plain,
! [X0,X1] : mult(mult(X1,X0),X1) = ld(i(X1),mult(X0,X1)),
inference(superposition,[],[f2,f24]) ).
fof(f307,plain,
! [X0,X1] :
( mult(X0,mult(i(X0),X1)) = mult(mult(i(X0),X1),X0)
| mult(X0,mult(i(X0),X1)) = X1 ),
inference(superposition,[],[f2,f259]) ).
fof(f369,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(mult(X1,X2),X1)) = mult(mult(X0,X2),X1),
inference(superposition,[],[f7,f3]) ).
fof(f370,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,i(X1)),
inference(superposition,[],[f8,f3]) ).
fof(f401,plain,
! [X2,X0,X1] : mult(mult(X2,X1),X2) = ld(rd(X0,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f369]) ).
fof(f497,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X1) = ld(rd(rd(X0,X2),X1),mult(X0,X1)),
inference(superposition,[],[f401,f3]) ).
fof(f537,plain,
! [X0,X1] : mult(X1,X0) = rd(X1,i(X0)),
inference(superposition,[],[f370,f135]) ).
fof(f568,plain,
! [X0,X1] :
( mult(i(X0),mult(i(i(X0)),X1)) = rd(mult(i(i(X0)),X1),X0)
| mult(i(X0),mult(i(i(X0)),X1)) = X1 ),
inference(superposition,[],[f307,f370]) ).
fof(f586,plain,
! [X0,X1] :
( mult(i(X0),mult(X0,X1)) = rd(mult(X0,X1),X0)
| mult(i(X0),mult(i(i(X0)),X1)) = X1 ),
inference(forward_demodulation,[],[f568,f112]) ).
fof(f611,plain,
! [X0,X1] :
( mult(i(X0),mult(X0,X1)) = rd(mult(X0,X1),X0)
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(forward_demodulation,[],[f586,f112]) ).
fof(f648,plain,
! [X0,X1] :
( mult(X0,rd(mult(X0,X1),X0)) = mult(rd(mult(X0,X1),X0),X0)
| mult(X0,X1) = mult(X0,rd(mult(X0,X1),X0))
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(superposition,[],[f307,f611]) ).
fof(f661,plain,
! [X0,X1] :
( rd(mult(X0,X1),X0) != X1
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(equality_factoring,[],[f611]) ).
fof(f669,plain,
! [X0,X1] :
( mult(X0,X1) = mult(X0,rd(mult(X0,X1),X0))
| mult(X0,X1) = mult(X0,rd(mult(X0,X1),X0))
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(forward_demodulation,[],[f648,f3]) ).
fof(f670,plain,
! [X0,X1] :
( mult(X0,X1) = mult(X0,rd(mult(X0,X1),X0))
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(duplicate_literal_removal,[],[f669]) ).
fof(f951,plain,
! [X0,X1] :
( ld(X0,mult(X0,X1)) = rd(mult(X0,X1),X0)
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(superposition,[],[f2,f670]) ).
fof(f985,plain,
! [X0,X1] :
( rd(mult(X0,X1),X0) = X1
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(forward_demodulation,[],[f951,f2]) ).
fof(f1000,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
inference(forward_subsumption_resolution,[],[f985,f661]) ).
fof(f1013,plain,
! [X0,X1] : ld(X1,X0) = mult(i(X1),X0),
inference(superposition,[],[f1000,f1]) ).
fof(f1024,plain,
! [X0,X1] : i(X1) = mult(i(mult(X0,X1)),X0),
inference(superposition,[],[f1000,f8]) ).
fof(f1025,plain,
! [X0,X1] : mult(i(rd(X0,X1)),X0) = X1,
inference(superposition,[],[f1000,f3]) ).
fof(f1033,plain,
! [X0,X1] : mult(mult(X1,X0),X1) = mult(i(i(X1)),mult(X0,X1)),
inference(superposition,[],[f1000,f24]) ).
fof(f1040,plain,
! [X0,X1] : mult(X1,X0) = ld(i(X1),X0),
inference(superposition,[],[f2,f1000]) ).
fof(f1048,plain,
! [X0,X1] : i(mult(X1,X0)) = ld(X0,i(X1)),
inference(superposition,[],[f257,f1000]) ).
fof(f1064,plain,
! [X0,X1] : mult(X1,mult(X0,X1)) = mult(mult(X1,X0),X1),
inference(forward_demodulation,[],[f1033,f112]) ).
fof(f1116,plain,
mult(a,mult(b,mult(a,c))) != mult(mult(a,mult(b,a)),c),
inference(superposition,[],[f14,f1064]) ).
fof(f1486,plain,
! [X0,X1] : mult(mult(X1,i(mult(X1,X0))),X1) = ld(i(X1),i(X0)),
inference(superposition,[],[f261,f1024]) ).
fof(f1506,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(mult(X1,i(mult(X1,X0))),X1),
inference(forward_demodulation,[],[f1486,f1048]) ).
fof(f1547,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(X1,mult(i(mult(X1,X0)),X1)),
inference(forward_demodulation,[],[f1506,f1064]) ).
fof(f1572,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(X1,ld(mult(X1,X0),X1)),
inference(forward_demodulation,[],[f1547,f1013]) ).
fof(f1589,plain,
! [X0,X1] : mult(X1,i(X0)) = i(mult(X0,i(X1))),
inference(forward_demodulation,[],[f1572,f257]) ).
fof(f1601,plain,
! [X0,X1] : mult(X1,i(X0)) = i(rd(X0,X1)),
inference(forward_demodulation,[],[f1589,f370]) ).
fof(f1610,plain,
! [X0,X1] : i(rd(X0,X1)) = rd(X1,X0),
inference(forward_demodulation,[],[f1601,f370]) ).
fof(f2353,plain,
! [X2,X0,X1] : mult(X2,rd(X0,X1)) = rd(X2,rd(X1,X0)),
inference(superposition,[],[f370,f1610]) ).
fof(f2360,plain,
! [X2,X0,X1] : mult(rd(X1,X0),X2) = ld(rd(X0,X1),X2),
inference(superposition,[],[f1040,f1610]) ).
fof(f3076,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X1) = ld(rd(rd(i(rd(X1,X0)),X2),X1),X0),
inference(superposition,[],[f497,f1025]) ).
fof(f3105,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X1) = mult(rd(X1,rd(i(rd(X1,X0)),X2)),X0),
inference(forward_demodulation,[],[f3076,f2360]) ).
fof(f3135,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X1) = mult(mult(X1,rd(X2,i(rd(X1,X0)))),X0),
inference(forward_demodulation,[],[f3105,f2353]) ).
fof(f3156,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X1) = mult(mult(X1,mult(X2,rd(X1,X0))),X0),
inference(forward_demodulation,[],[f3135,f537]) ).
fof(f3171,plain,
! [X2,X0,X1] : mult(X1,mult(X2,X1)) = mult(mult(X1,mult(X2,rd(X1,X0))),X0),
inference(forward_demodulation,[],[f3156,f1064]) ).
fof(f4178,plain,
! [X2,X0,X1] : mult(mult(X1,X0),X2) = mult(X1,mult(rd(X0,rd(X1,X2)),X1)),
inference(superposition,[],[f3171,f3]) ).
fof(f4303,plain,
! [X2,X0,X1] : mult(mult(X1,X0),X2) = mult(X1,mult(mult(X0,rd(X2,X1)),X1)),
inference(forward_demodulation,[],[f4178,f2353]) ).
fof(f4443,plain,
! [X2,X0,X1] : mult(mult(X1,mult(X0,X1)),X2) = mult(X1,mult(X0,mult(mult(X1,rd(X2,X1)),X1))),
inference(superposition,[],[f4303,f7]) ).
fof(f4526,plain,
! [X2,X0,X1] : mult(mult(X1,mult(X0,X1)),X2) = mult(X1,mult(X0,mult(X1,mult(rd(X2,X1),X1)))),
inference(forward_demodulation,[],[f4443,f1064]) ).
fof(f4572,plain,
! [X2,X0,X1] : mult(X1,mult(X0,mult(X1,X2))) = mult(mult(X1,mult(X0,X1)),X2),
inference(forward_demodulation,[],[f4526,f3]) ).
fof(f4920,plain,
mult(a,mult(b,mult(a,c))) != mult(a,mult(b,mult(a,c))),
inference(superposition,[],[f1116,f4572]) ).
fof(f4967,plain,
$false,
inference(trivial_inequality_removal,[],[f4920]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP748-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n006.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 10:41:10 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 14.02/3.22 % (2786997)Input is clausal, will run a generic CNF schedule.
% 14.02/3.22 % (2787002)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1012875256:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 14.02/3.22 % (2787007)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=201129008:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 14.02/3.22 % (2787003)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3678948467:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 14.02/3.22 % (2787006)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3374143258:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 14.02/3.22 % (2787005)lrs+10_1_sil=8000:sp=occurrence:random_seed=614584990:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 14.02/3.22 % (2787004)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1368133734:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 14.02/3.22 % (2787008)dis-21_1_sil=8000:lcm=predicate:random_seed=3008974508:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 14.02/3.22 % (2787008)Refutation not found, incomplete strategy
% 14.02/3.22 % (2787008)------------------------------
% 14.02/3.22 % (2787008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.22 % (2787008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.22 % (2787008)CaDiCaL version: 2.1.3
% 14.02/3.22 % (2787008)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.22 % (2787008)Time elapsed: 0.002 s
% 14.02/3.22 % (2787008)Peak memory usage: 88 MB
% 14.02/3.22 % (2787005)Instruction limit reached!
% 14.02/3.22 % (2787005)------------------------------
% 14.02/3.22 % (2787005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.22 % (2787005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.22 % (2787005)CaDiCaL version: 2.1.3
% 14.02/3.22 % (2787005)Termination reason: Instruction limit
% 14.02/3.22 % (2787005)Termination phase: Saturation
% 14.02/3.22 % (2787005)Time elapsed: 0.101 s
% 14.02/3.22 % (2787005)Peak memory usage: 88 MB
% 14.02/3.22 % (2787005)Instructions burned: 107 (million)
% 14.02/3.22 % (2787006)Instruction limit reached!
% 14.02/3.22 % (2787006)------------------------------
% 14.02/3.22 % (2787006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.22 % (2787006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.22 % (2787006)CaDiCaL version: 2.1.3
% 14.02/3.22 % (2787006)Termination reason: Instruction limit
% 14.02/3.22 % (2787006)Termination phase: Saturation
% 14.02/3.22 % (2787006)Time elapsed: 0.111 s
% 14.02/3.22 % (2787006)Peak memory usage: 88 MB
% 14.02/3.22 % (2787006)Instructions burned: 114 (million)
% 14.02/3.22 % (2787007)Instruction limit reached!
% 14.02/3.22 % (2787007)------------------------------
% 14.02/3.22 % (2787007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.22 % (2787007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.22 % (2787007)CaDiCaL version: 2.1.3
% 14.02/3.22 % (2787007)Termination reason: Instruction limit
% 14.02/3.22 % (2787007)Termination phase: Saturation
% 14.02/3.22 % (2787007)Time elapsed: 0.158 s
% 14.02/3.22 % (2787007)Peak memory usage: 89 MB
% 14.02/3.22 % (2787007)Instructions burned: 180 (million)
% 14.02/3.22 % (2787008)------------------------------
% 14.02/3.22 % (2787008)------------------------------
% 14.02/3.22 % (2787016)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1838096136:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 14.02/3.22 % (2787016)Refutation not found, incomplete strategy
% 14.02/3.22 % (2787016)------------------------------
% 14.02/3.22 % (2787016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.22 % (2787016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.22 % (2787016)CaDiCaL version: 2.1.3
% 14.02/3.22 % (2787016)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.22 % (2787016)Time elapsed: 0.002 s
% 14.02/3.22 % (2787016)Peak memory usage: 88 MB
% 14.02/3.22 % (2787017)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4257111308:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 14.02/3.22 % (2787017)Refutation not found, incomplete strategy
% 14.02/3.22 % (2787017)------------------------------
% 14.02/3.22 % (2787017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.22 % (2787017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.22 % (2787017)CaDiCaL version: 2.1.3
% 14.02/3.22 % (2787017)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.22 % (2787017)Time elapsed: 0.002 s
% 14.02/3.22 % (2787017)Peak memory usage: 88 MB
% 14.02/3.22 % (2787017)Instructions burned: 1 (million)
% 14.02/3.22 % (2787018)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=977374302:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 14.02/3.22 % (2787018)Refutation not found, incomplete strategy
% 14.02/3.22 % (2787018)------------------------------
% 14.02/3.22 % (2787018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.22 % (2787018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.22 % (2787018)CaDiCaL version: 2.1.3
% 14.02/3.22 % (2787018)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.22 % (2787018)Time elapsed: 0.002 s
% 14.02/3.22 % (2787018)Peak memory usage: 87 MB
% 14.02/3.22 % (2787021)lrs+10_64_to=lpo:sil=8000:random_seed=921604311:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 14.02/3.22 % (2787018)------------------------------
% 14.02/3.22 % (2787018)------------------------------
% 14.02/3.22 % (2787017)------------------------------
% 14.02/3.22 % (2787017)------------------------------
% 14.02/3.22 % (2787016)------------------------------
% 14.02/3.22 % (2787016)------------------------------
% 14.02/3.22 % (2787021)Instruction limit reached!
% 14.02/3.22 % (2787021)------------------------------
% 14.02/3.22 % (2787021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.22 % (2787021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.22 % (2787021)CaDiCaL version: 2.1.3
% 14.02/3.22 % (2787021)Termination reason: Instruction limit
% 14.02/3.22 % (2787021)Termination phase: Saturation
% 14.02/3.22 % (2787021)Time elapsed: 0.133 s
% 14.02/3.22 % (2787021)Peak memory usage: 89 MB
% 14.02/3.22 % (2787021)Instructions burned: 126 (million)
% 14.02/3.22 % (2787024)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1390861637:avsq=on:i=194:fgj=on:bd=preordered_2989 on theBenchmark for (2989ds/194Mi)
% 14.02/3.22 % (2787026)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3557498190:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 14.02/3.22 % (2787025)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1901981116:i=157:gtg=all_2989 on theBenchmark for (2989ds/157Mi)
% 14.02/3.22 % (2787027)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2234499383:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 14.02/3.22 % (2787024)Instruction limit reached!
% 14.02/3.22 % (2787024)------------------------------
% 14.02/3.22 % (2787024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.22 % (2787024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.22 % (2787024)CaDiCaL version: 2.1.3
% 14.02/3.22 % (2787024)Termination reason: Instruction limit
% 14.02/3.22 % (2787024)Termination phase: Saturation
% 14.02/3.22 % (2787024)Time elapsed: 0.159 s
% 14.02/3.22 % (2787024)Peak memory usage: 89 MB
% 14.02/3.22 % (2787024)Instructions burned: 195 (million)
% 14.02/3.22 % (2787027)Instruction limit reached!
% 14.02/3.22 % (2787027)------------------------------
% 14.02/3.22 % (2787027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.22 % (2787027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.22 % (2787027)CaDiCaL version: 2.1.3
% 14.02/3.22 % (2787027)Termination reason: Instruction limit
% 14.02/3.22 % (2787027)Termination phase: Saturation
% 14.02/3.22 % (2787027)Time elapsed: 0.095 s
% 14.02/3.22 % (2787027)Peak memory usage: 89 MB
% 14.02/3.22 % (2787027)Instructions burned: 106 (million)
% 14.02/3.22 % (2787025)Instruction limit reached!
% 14.02/3.22 % (2787025)------------------------------
% 14.02/3.22 % (2787025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/3.52 % (2787025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/3.52 % (2787025)CaDiCaL version: 2.1.3
% 0.24/3.52 % (2787025)Termination reason: Instruction limit
% 0.24/3.52 % (2787025)Termination phase: Saturation
% 0.24/3.52 % (2787025)Time elapsed: 0.164 s
% 0.24/3.52 % (2787025)Peak memory usage: 90 MB
% 0.24/3.52 % (2787025)Instructions burned: 157 (million)
% 0.24/3.52 % (2787032)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=732998612:i=107_2985 on theBenchmark for (2985ds/107Mi)
% 0.24/3.52 % (2787032)Refutation not found, incomplete strategy
% 0.24/3.52 % (2787032)------------------------------
% 0.24/3.52 % (2787032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/3.52 % (2787032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/3.52 % (2787032)CaDiCaL version: 2.1.3
% 0.24/3.52 % (2787032)Termination reason: Refutation not found, incomplete strategy
% 0.24/3.52 % (2787032)Time elapsed: 0.002 s
% 0.24/3.52 % (2787032)Peak memory usage: 87 MB
% 0.24/3.52 % (2787033)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3160034131:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2984 on theBenchmark for (2984ds/242Mi)
% 0.24/3.52 % (2787034)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3683259148:cond=fast:i=5208:av=off_2984 on theBenchmark for (2984ds/5208Mi)
% 0.24/3.52 % (2787003)First to succeed.
% 0.24/3.52 % (2787003)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2786997"
% 0.24/3.52 % (2787033)Instruction limit reached!
% 0.24/3.52 % (2787033)------------------------------
% 0.24/3.52 % (2787033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/3.52 % (2787033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/3.52 % (2787033)CaDiCaL version: 2.1.3
% 0.24/3.52 % (2787033)Termination reason: Instruction limit
% 0.24/3.52 % (2787033)Termination phase: Saturation
% 0.24/3.52 % (2787033)Time elapsed: 0.213 s
% 0.24/3.52 % (2787033)Peak memory usage: 91 MB
% 0.24/3.52 % (2787033)Instructions burned: 242 (million)
% 0.24/3.52 % (2787032)------------------------------
% 0.24/3.52 % (2787032)------------------------------
% 0.24/3.52 % (2787038)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3840864448:i=134:sd=2:doe=on:ss=axioms:sgt=14_2980 on theBenchmark for (2980ds/134Mi)
% 0.24/3.52 % (2787003)Refutation found. Thanks to Tanya!
% 0.24/3.52 % SZS status Unsatisfiable for theBenchmark
% 0.24/3.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/3.52 % (2787003)------------------------------
% 0.24/3.52 % (2787003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/3.52 % (2787003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/3.52 % (2787003)CaDiCaL version: 2.1.3
% 0.24/3.52 % (2787003)Termination reason: Refutation
% 0.24/3.52 % (2787003)Time elapsed: 1.532 s
% 0.24/3.52 % (2787003)Peak memory usage: 133 MB
% 0.24/3.52 % (2787003)Instructions burned: 1439 (million)
% 0.24/3.52 % (2787003)------------------------------
% 0.24/3.52 % (2787003)------------------------------
% 0.24/3.52 % (2786997)Success in time 2.27 s
% 0.24/3.52 % Vampire exiting
%------------------------------------------------------------------------------