%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP660+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 : n016.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 : Theorem 12.62s 2.72s
% Output : Refutation 12.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 11
% Syntax : Number of formulae : 77 ( 65 unt; 5 def)
% Number of atoms : 89 ( 74 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 8 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 86 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2] : mult(mult(mult(X2,X1),X0),X2) = mult(X2,mult(X1,mult(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
! [X0,X1] :
( mult(X0,rd(X1,X1)) = X0
& mult(rd(X1,X1),X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ! [X0,X1] :
( mult(X0,rd(X1,X1)) = X0
& mult(rd(X1,X1),X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
? [X0,X1] :
( mult(X0,rd(X1,X1)) != X0
| mult(rd(X1,X1),X0) != X0 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( sK0 != mult(sK0,rd(sK1,sK1))
| sK0 != mult(rd(sK1,sK1),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).
fof(f10,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(mult(X2,X1),X0),X2) = mult(X2,mult(X1,mult(X0,X2))),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
( sK0 != mult(sK0,rd(sK1,sK1))
| sK0 != mult(rd(sK1,sK1),sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,definition,
sF2 = rd(sK1,sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f17,plain,
rd(sK1,sK1) = sF2,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF3 = mult(sK0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f19,plain,
mult(sK0,sF2) = sF3,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF4 = mult(sF2,sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f21,plain,
mult(sF2,sK0) = sF4,
inference(reorient_equations,[],[f20]) ).
fof(f22,plain,
( sK0 != sF3
| sK0 != sF4 ),
inference(definition_folding,[],[f15,f21,f17,f19,f17]) ).
fof(f24,definition,
( spl5_1
<=> sK0 = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f26,plain,
( sK0 != sF4
| spl5_1 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f28,definition,
( spl5_2
<=> sK0 = sF3 ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f31,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f22,f28,f24]) ).
fof(f32,plain,
sK1 = mult(sF2,sK1),
inference(superposition,[],[f12,f17]) ).
fof(f33,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f13,f10]) ).
fof(f37,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[],[f14,f10]) ).
fof(f44,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X0))),X0),
inference(superposition,[],[f13,f14]) ).
fof(f46,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f11,f12]) ).
fof(f50,plain,
sK1 = ld(sF2,sK1),
inference(superposition,[],[f46,f17]) ).
fof(f55,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(X0,X1)) = rd(mult(X1,mult(X2,X0)),X1),
inference(superposition,[],[f44,f12]) ).
fof(f66,plain,
! [X2,X0,X1] : rd(mult(X1,X0),X1) = mult(mult(X1,rd(X0,X2)),rd(X2,X1)),
inference(superposition,[],[f55,f12]) ).
fof(f110,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),X1) = mult(X1,mult(ld(X1,X2),X0)),
inference(superposition,[],[f37,f12]) ).
fof(f118,plain,
! [X2,X0,X1] : mult(ld(X2,X0),mult(X1,X2)) = ld(X2,mult(mult(X0,X1),X2)),
inference(superposition,[],[f11,f37]) ).
fof(f188,plain,
! [X2,X0,X1] : mult(ld(X1,X2),mult(ld(X2,X0),X1)) = ld(X1,mult(X0,X1)),
inference(superposition,[],[f118,f10]) ).
fof(f194,plain,
! [X2,X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,rd(X0,X2)),mult(X2,X1)),
inference(superposition,[],[f118,f12]) ).
fof(f236,plain,
! [X2,X0,X1] : mult(ld(X2,X1),X0) = ld(ld(X0,X2),ld(X0,mult(X1,X0))),
inference(superposition,[],[f11,f188]) ).
fof(f274,plain,
! [X2,X0,X1] : ld(X0,rd(X1,X2)) = rd(ld(X0,mult(X1,X0)),mult(X2,X0)),
inference(superposition,[],[f13,f194]) ).
fof(f403,plain,
! [X0,X1] : mult(ld(X1,X0),X0) = ld(ld(X0,X1),X0),
inference(superposition,[],[f236,f11]) ).
fof(f425,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(mult(X1,X0),X1),X1),
inference(superposition,[],[f403,f11]) ).
fof(f433,plain,
! [X0,X1] : ld(X1,X0) = rd(X1,mult(ld(X0,X1),X1)),
inference(superposition,[],[f33,f403]) ).
fof(f466,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = rd(ld(X0,X1),X1),
inference(superposition,[],[f13,f425]) ).
fof(f512,plain,
! [X0,X1] : mult(X1,X0) = rd(X1,rd(ld(X0,X1),X1)),
inference(superposition,[],[f33,f466]) ).
fof(f533,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = rd(mult(X1,X0),mult(X0,mult(X1,X0))),
inference(superposition,[],[f433,f11]) ).
fof(f558,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = rd(mult(X1,X0),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f533,f466]) ).
fof(f636,plain,
mult(sK1,sF2) = rd(sK1,rd(sK1,sK1)),
inference(superposition,[],[f512,f50]) ).
fof(f657,plain,
rd(sK1,sF2) = mult(sK1,sF2),
inference(forward_demodulation,[],[f636,f17]) ).
fof(f777,plain,
! [X0,X1] : rd(ld(X1,rd(X0,X1)),rd(X0,X1)) = rd(X0,mult(X1,X0)),
inference(superposition,[],[f558,f12]) ).
fof(f825,plain,
rd(sK1,mult(sF2,sK1)) = rd(ld(sF2,mult(sK1,sF2)),mult(sK1,sF2)),
inference(superposition,[],[f777,f657]) ).
fof(f846,plain,
rd(sK1,mult(sF2,sK1)) = ld(sF2,rd(sK1,sK1)),
inference(forward_demodulation,[],[f825,f274]) ).
fof(f856,plain,
rd(sK1,mult(sF2,sK1)) = ld(sF2,sF2),
inference(forward_demodulation,[],[f846,f17]) ).
fof(f861,plain,
rd(sK1,sK1) = ld(sF2,sF2),
inference(forward_demodulation,[],[f856,f32]) ).
fof(f864,plain,
sF2 = ld(sF2,sF2),
inference(forward_demodulation,[],[f861,f17]) ).
fof(f866,plain,
sF2 = mult(sF2,sF2),
inference(superposition,[],[f10,f864]) ).
fof(f867,plain,
sF2 = rd(sF2,sF2),
inference(superposition,[],[f33,f864]) ).
fof(f886,plain,
! [X0] : rd(mult(sF2,X0),sF2) = mult(mult(sF2,rd(X0,sF2)),sF2),
inference(superposition,[],[f66,f867]) ).
fof(f896,plain,
! [X0] : rd(mult(sF2,X0),sF2) = mult(sF2,mult(ld(sF2,sF2),X0)),
inference(forward_demodulation,[],[f886,f110]) ).
fof(f898,plain,
! [X0] : rd(mult(sF2,X0),sF2) = mult(sF2,mult(sF2,X0)),
inference(forward_demodulation,[],[f896,f864]) ).
fof(f924,plain,
! [X0] : mult(sF2,X0) = rd(X0,sF2),
inference(superposition,[],[f898,f10]) ).
fof(f956,plain,
! [X0] : mult(mult(sF2,X0),sF2) = X0,
inference(superposition,[],[f12,f924]) ).
fof(f969,plain,
! [X0] : mult(sF2,mult(X0,sF2)) = X0,
inference(superposition,[],[f13,f924]) ).
fof(f1052,plain,
! [X0] : mult(X0,sF2) = mult(sF2,mult(X0,mult(sF2,sF2))),
inference(superposition,[],[f14,f956]) ).
fof(f1073,plain,
! [X0] : mult(X0,sF2) = mult(sF2,mult(X0,sF2)),
inference(forward_demodulation,[],[f1052,f866]) ).
fof(f1079,plain,
! [X0] : mult(X0,sF2) = X0,
inference(forward_demodulation,[],[f1073,f969]) ).
fof(f1107,plain,
! [X0] : mult(sF2,X0) = X0,
inference(superposition,[],[f956,f1079]) ).
fof(f1113,plain,
sK0 = sF3,
inference(superposition,[],[f19,f1079]) ).
fof(f1116,plain,
spl5_2,
inference(avatar_split_clause,[],[f1113,f28]) ).
fof(f1173,plain,
sK0 = sF4,
inference(superposition,[],[f1107,f21]) ).
fof(f1229,plain,
( $false
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f1173,f26]) ).
fof(f1230,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f1229]) ).
cnf(s1,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(sat_conversion,[],[f31]) ).
cnf(s2,plain,
spl5_2,
inference(sat_conversion,[],[f1116]) ).
cnf(s5,plain,
spl5_1,
inference(sat_conversion,[],[f1230]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s5]) ).
fof(f1259,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP660+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 10:38:03 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.09/2.42 % (2428551)Detected formulas, will run a generic FOF schedule.
% 11.09/2.42 % (2428558)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3250370393:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.09/2.42 % (2428560)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=377106151:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.09/2.42 % (2428557)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=316108623:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.09/2.42 % (2428556)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=2157612393:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.09/2.42 % (2428562)dis-21_1_sil=8000:lcm=predicate:random_seed=1290895333:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.09/2.42 % (2428559)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2496642577:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.09/2.42 % (2428561)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3641196209:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.09/2.42 % (2428559)Refutation not found, incomplete strategy
% 11.09/2.42 % (2428559)------------------------------
% 11.09/2.42 % (2428559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.42 % (2428562)Refutation not found, incomplete strategy
% 11.09/2.42 % (2428562)------------------------------
% 11.09/2.42 % (2428562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.42 % (2428559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.42 % (2428562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.42 % (2428559)CaDiCaL version: 2.1.3
% 11.09/2.42 % (2428562)CaDiCaL version: 2.1.3
% 11.09/2.42 % (2428559)Termination reason: Refutation not found, incomplete strategy
% 11.09/2.42 % (2428559)Time elapsed: 0.001 s
% 11.09/2.42 % (2428562)Termination reason: Refutation not found, incomplete strategy
% 11.09/2.42 % (2428562)Time elapsed: 0.001 s
% 11.09/2.42 % (2428559)Peak memory usage: 88 MB
% 11.09/2.42 % (2428562)Peak memory usage: 88 MB
% 11.09/2.42 % (2428560)Instruction limit reached!
% 11.09/2.42 % (2428560)------------------------------
% 11.09/2.42 % (2428560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.42 % (2428560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.42 % (2428560)CaDiCaL version: 2.1.3
% 11.09/2.42 % (2428560)Termination reason: Instruction limit
% 11.09/2.42 % (2428560)Termination phase: Saturation
% 11.09/2.42 % (2428560)Time elapsed: 0.071 s
% 11.09/2.42 % (2428560)Peak memory usage: 88 MB
% 11.09/2.42 % (2428560)Instructions burned: 119 (million)
% 11.09/2.42 % (2428561)Instruction limit reached!
% 11.09/2.42 % (2428561)------------------------------
% 11.09/2.42 % (2428561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.42 % (2428561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.42 % (2428561)CaDiCaL version: 2.1.3
% 11.09/2.42 % (2428561)Termination reason: Instruction limit
% 11.09/2.42 % (2428561)Termination phase: Saturation
% 11.09/2.42 % (2428561)Time elapsed: 0.085 s
% 11.09/2.42 % (2428561)Peak memory usage: 89 MB
% 11.09/2.42 % (2428561)Instructions burned: 140 (million)
% 11.09/2.42 % (2428570)lrs+10_1_sil=8000:sp=occurrence:random_seed=2518780578:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.09/2.42 % (2428571)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2893350783:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.09/2.42 % (2428562)------------------------------
% 11.09/2.42 % (2428562)------------------------------
% 11.09/2.42 % (2428559)------------------------------
% 11.09/2.42 % (2428559)------------------------------
% 11.09/2.42 % (2428571)Instruction limit reached!
% 11.09/2.42 % (2428571)------------------------------
% 11.09/2.42 % (2428571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.42 % (2428571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.42 % (2428571)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428571)Termination reason: Instruction limit
% 11.61/2.57 % (2428571)Termination phase: Saturation
% 11.61/2.57 % (2428571)Time elapsed: 0.105 s
% 11.61/2.57 % (2428571)Peak memory usage: 91 MB
% 11.61/2.57 % (2428571)Instructions burned: 158 (million)
% 11.61/2.57 % (2428558)Refutation not found, incomplete strategy
% 11.61/2.57 % (2428558)------------------------------
% 11.61/2.57 % (2428558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.57 % (2428558)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428558)Termination reason: Refutation not found, incomplete strategy
% 11.61/2.57 % (2428558)Time elapsed: 0.361 s
% 11.61/2.57 % (2428558)Peak memory usage: 127 MB
% 11.61/2.57 % (2428558)Instructions burned: 883 (million)
% 11.61/2.57 % (2428574)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1280399886:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.61/2.57 % (2428575)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3727990384:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.61/2.57 % (2428570)Instruction limit reached!
% 11.61/2.57 % (2428570)------------------------------
% 11.61/2.57 % (2428570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.57 % (2428570)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428570)Termination reason: Instruction limit
% 11.61/2.57 % (2428570)Termination phase: Saturation
% 11.61/2.57 % (2428570)Time elapsed: 0.185 s
% 11.61/2.57 % (2428570)Peak memory usage: 92 MB
% 11.61/2.57 % (2428570)Instructions burned: 285 (million)
% 11.61/2.57 % (2428576)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1842450568:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.61/2.57 % (2428576)Refutation not found, incomplete strategy
% 11.61/2.57 % (2428576)------------------------------
% 11.61/2.57 % (2428576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.57 % (2428576)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428576)Termination reason: Refutation not found, incomplete strategy
% 11.61/2.57 % (2428576)Time elapsed: 0.001 s
% 11.61/2.57 % (2428576)Peak memory usage: 88 MB
% 11.61/2.57 % (2428574)Instruction limit reached!
% 11.61/2.57 % (2428574)------------------------------
% 11.61/2.57 % (2428574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.57 % (2428574)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428574)Termination reason: Instruction limit
% 11.61/2.57 % (2428574)Termination phase: Saturation
% 11.61/2.57 % (2428574)Time elapsed: 0.114 s
% 11.61/2.57 % (2428574)Peak memory usage: 93 MB
% 11.61/2.57 % (2428574)Instructions burned: 325 (million)
% 11.61/2.57 % (2428579)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=192427500:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.61/2.57 % (2428575)Instruction limit reached!
% 11.61/2.57 % (2428575)------------------------------
% 11.61/2.57 % (2428575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.57 % (2428575)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428575)Termination reason: Instruction limit
% 11.61/2.57 % (2428575)Termination phase: Saturation
% 11.61/2.57 % (2428575)Time elapsed: 0.163 s
% 11.61/2.57 % (2428575)Peak memory usage: 92 MB
% 11.61/2.57 % (2428575)Instructions burned: 248 (million)
% 11.61/2.57 % (2428581)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1564216228:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 11.61/2.57 % (2428581)Refutation not found, incomplete strategy
% 11.61/2.57 % (2428581)------------------------------
% 11.61/2.57 % (2428581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.57 % (2428581)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428581)Termination reason: Refutation not found, incomplete strategy
% 11.61/2.57 % (2428581)Time elapsed: 0.001 s
% 11.61/2.57 % (2428581)Peak memory usage: 88 MB
% 11.61/2.57 % (2428558)------------------------------
% 11.61/2.57 % (2428558)------------------------------
% 11.61/2.57 % (2428583)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3213816111:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.61/2.57 % (2428583)Refutation not found, incomplete strategy
% 11.61/2.57 % (2428583)------------------------------
% 11.61/2.57 % (2428583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.57 % (2428583)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428583)Termination reason: Refutation not found, incomplete strategy
% 11.61/2.57 % (2428583)Time elapsed: 0.001 s
% 11.61/2.57 % (2428583)Peak memory usage: 88 MB
% 11.61/2.57 % (2428576)------------------------------
% 11.61/2.57 % (2428576)------------------------------
% 11.61/2.57 % (2428581)------------------------------
% 11.61/2.57 % (2428581)------------------------------
% 11.61/2.57 % (2428585)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=423460509:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.61/2.57 % (2428585)Refutation not found, incomplete strategy
% 11.61/2.57 % (2428585)------------------------------
% 11.61/2.57 % (2428585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.57 % (2428585)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428585)Termination reason: Refutation not found, incomplete strategy
% 11.61/2.57 % (2428585)Time elapsed: 0.001 s
% 11.61/2.57 % (2428585)Peak memory usage: 88 MB
% 11.61/2.57 % (2428588)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3615122208:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.61/2.57 % (2428588)Refutation not found, incomplete strategy
% 11.61/2.57 % (2428588)------------------------------
% 11.61/2.57 % (2428588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.57 % (2428588)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428588)Termination reason: Refutation not found, incomplete strategy
% 11.61/2.57 % (2428588)Time elapsed: 0.001 s
% 11.61/2.57 % (2428588)Peak memory usage: 88 MB
% 11.61/2.57 % (2428587)lrs+10_1_sil=8000:sp=occurrence:random_seed=483080413:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.61/2.57 % (2428583)------------------------------
% 11.61/2.57 % (2428583)------------------------------
% 11.61/2.57 % (2428588)------------------------------
% 11.61/2.57 % (2428588)------------------------------
% 11.61/2.57 % (2428585)------------------------------
% 11.61/2.57 % (2428585)------------------------------
% 11.61/2.57 % (2428592)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2042937060:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.61/2.57 % (2428593)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3955135658:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.61/2.57 % (2428593)Refutation not found, incomplete strategy
% 11.61/2.57 % (2428593)------------------------------
% 11.61/2.57 % (2428593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.57 % (2428593)CaDiCaL version: 2.1.3
% 11.61/2.57 % (2428593)Termination reason: Refutation not found, incomplete strategy
% 11.61/2.57 % (2428593)Time elapsed: 0.001 s
% 11.61/2.57 % (2428593)Peak memory usage: 88 MB
% 11.61/2.57 % (2428594)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3433169612:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 11.61/2.57 % (2428593)------------------------------
% 11.61/2.57 % (2428593)------------------------------
% 11.61/2.57 % (2428579)First to succeed.
% 11.61/2.57 % (2428579)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2428551"
% 11.61/2.57 % (2428598)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3657901201:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 11.61/2.57 % (2428557)Also succeeded, but the first one will report.
% 11.61/2.57 % (2428587)Instruction limit reached!
% 11.61/2.57 % (2428587)------------------------------
% 11.61/2.57 % (2428587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.57 % (2428587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.72 % (2428587)CaDiCaL version: 2.1.3
% 12.62/2.72 % (2428587)Termination reason: Instruction limit
% 12.62/2.72 % (2428587)Termination phase: Saturation
% 12.62/2.72 % (2428587)Time elapsed: 0.594 s
% 12.62/2.72 % (2428587)Peak memory usage: 101 MB
% 12.62/2.72 % (2428587)Instructions burned: 908 (million)
% 12.62/2.72 % (2428594)Instruction limit reached!
% 12.62/2.72 % (2428594)------------------------------
% 12.62/2.72 % (2428594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.62/2.72 % (2428594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.72 % (2428594)CaDiCaL version: 2.1.3
% 12.62/2.72 % (2428594)Termination reason: Instruction limit
% 12.62/2.72 % (2428594)Termination phase: Saturation
% 12.62/2.72 % (2428594)Time elapsed: 0.316 s
% 12.62/2.72 % (2428594)Peak memory usage: 93 MB
% 12.62/2.72 % (2428594)Instructions burned: 592 (million)
% 12.62/2.72 % (2428556)Also succeeded, but the first one will report.
% 12.62/2.72 % (2428579)Refutation found. Thanks to Tanya!
% 12.62/2.72 % SZS status Theorem for theBenchmark
% 12.62/2.72 % SZS output start Proof for theBenchmark
% See solution above
% 12.62/2.72 % (2428579)------------------------------
% 12.62/2.72 % (2428579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.62/2.72 % (2428579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.72 % (2428579)CaDiCaL version: 2.1.3
% 12.62/2.72 % (2428579)Termination reason: Refutation
% 12.62/2.72 % (2428579)Time elapsed: 0.788 s
% 12.62/2.72 % (2428579)Peak memory usage: 131 MB
% 12.62/2.72 % (2428579)Instructions burned: 1194 (million)
% 12.62/2.72 % (2428579)------------------------------
% 12.62/2.72 % (2428579)------------------------------
% 12.62/2.72 % (2428551)Success in time 1.709 s
% 12.62/2.72 % Vampire exiting
%------------------------------------------------------------------------------