%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP659+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 10:15:28 AM UTC 2026
% Result : Theorem 0.26s 3.04s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 46 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 107 ( 104 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2] : mult(mult(X2,mult(X1,X0)),X1) = mult(mult(X2,X1),mult(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
! [X0] :
? [X1] :
( mult(X1,X0) != X1
| mult(X0,X1) != X1 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
! [X0] :
( sK0(X0) != mult(sK0(X0),X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[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(X2,mult(X1,X0)),X1) = mult(mult(X2,X1),mult(X0,X1)),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X0] :
( sK0(X0) != mult(sK0(X0),X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f13,f10]) ).
fof(f17,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f11,f12]) ).
fof(f23,plain,
! [X2,X0,X1] : ld(mult(X0,mult(X1,X2)),mult(mult(X0,X1),mult(X2,X1))) = X1,
inference(superposition,[],[f11,f14]) ).
fof(f24,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = rd(mult(mult(X0,X1),mult(X2,X1)),X1),
inference(superposition,[],[f13,f14]) ).
fof(f25,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,X2)) = rd(mult(X0,mult(X2,X1)),X1),
inference(superposition,[],[f24,f12]) ).
fof(f28,plain,
! [X2,X0,X1] : mult(X1,mult(X2,rd(X0,X2))) = rd(mult(mult(X1,X2),X0),X2),
inference(superposition,[],[f24,f12]) ).
fof(f29,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X2,X0),X2)) = rd(mult(mult(X1,ld(X2,X0)),X0),ld(X2,X0)),
inference(superposition,[],[f24,f10]) ).
fof(f40,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X1,rd(X1,X1))),
inference(superposition,[],[f13,f28]) ).
fof(f59,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(X1,rd(X1,X1)),
inference(superposition,[],[f11,f40]) ).
fof(f65,plain,
! [X1] : mult(X1,rd(X1,X1)) = X1,
inference(forward_demodulation,[],[f59,f11]) ).
fof(f83,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(superposition,[],[f11,f65]) ).
fof(f84,plain,
! [X0] : rd(X0,rd(X0,X0)) = X0,
inference(superposition,[],[f13,f65]) ).
fof(f95,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f12,f83]) ).
fof(f126,plain,
! [X2,X0,X1] : rd(X0,X2) = mult(rd(rd(X0,mult(X1,X2)),X2),mult(X2,X1)),
inference(superposition,[],[f25,f12]) ).
fof(f184,plain,
! [X0,X1] : mult(X1,mult(ld(X1,X0),X1)) = rd(mult(X0,X0),ld(X1,X0)),
inference(superposition,[],[f29,f10]) ).
fof(f209,plain,
! [X0,X1] : mult(rd(X1,X1),mult(X1,ld(X1,X0))) = rd(rd(mult(X0,X0),ld(X1,X0)),X1),
inference(superposition,[],[f25,f184]) ).
fof(f229,plain,
! [X0,X1] : rd(rd(mult(X0,X0),ld(X1,X0)),X1) = mult(rd(X1,X1),X0),
inference(forward_demodulation,[],[f209,f10]) ).
fof(f235,plain,
! [X0,X1] : rd(rd(mult(X0,X0),ld(X1,X0)),X1) = mult(ld(X1,X1),X0),
inference(forward_demodulation,[],[f229,f83]) ).
fof(f412,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X2,X1)),X1) = rd(rd(X0,X1),mult(X1,X2)),
inference(superposition,[],[f13,f126]) ).
fof(f582,plain,
! [X2,X0,X1] : rd(rd(X1,X0),X2) = rd(rd(X1,X2),mult(X2,rd(X0,X2))),
inference(superposition,[],[f412,f12]) ).
fof(f608,plain,
! [X2,X0,X1] : rd(X0,mult(X1,rd(X2,X1))) = rd(rd(mult(X0,X1),X2),X1),
inference(superposition,[],[f582,f13]) ).
fof(f676,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = rd(X0,mult(X1,rd(rd(mult(X0,X1),mult(X0,X1)),X1))),
inference(superposition,[],[f608,f84]) ).
fof(f700,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = rd(X0,mult(X1,rd(X0,mult(X1,rd(mult(X0,X1),X1))))),
inference(forward_demodulation,[],[f676,f608]) ).
fof(f709,plain,
! [X0,X1] : rd(X0,mult(X1,rd(X0,mult(X1,X0)))) = X0,
inference(forward_demodulation,[],[f700,f13]) ).
fof(f718,plain,
! [X0,X1] : rd(X1,mult(rd(X0,X1),rd(X1,X0))) = X1,
inference(superposition,[],[f709,f12]) ).
fof(f780,plain,
! [X0,X1] : ld(X0,X0) = mult(rd(X1,X0),rd(X0,X1)),
inference(superposition,[],[f17,f718]) ).
fof(f834,plain,
! [X0,X1] : mult(ld(X1,X1),rd(X0,X0)) = rd(rd(ld(X0,X0),ld(X1,rd(X0,X0))),X1),
inference(superposition,[],[f235,f780]) ).
fof(f865,plain,
! [X0,X1] : mult(ld(X1,X1),ld(X0,X0)) = rd(rd(ld(X0,X0),ld(X1,ld(X0,X0))),X1),
inference(forward_demodulation,[],[f834,f83]) ).
fof(f880,plain,
! [X0,X1] : rd(X1,X1) = mult(ld(X1,X1),ld(X0,X0)),
inference(forward_demodulation,[],[f865,f16]) ).
fof(f883,plain,
! [X0,X1] : ld(X1,X1) = mult(ld(X1,X1),ld(X0,X0)),
inference(forward_demodulation,[],[f880,f83]) ).
fof(f993,plain,
! [X2,X0,X1] : ld(X2,X2) = ld(mult(X1,mult(ld(X2,X2),ld(X0,X0))),mult(mult(X1,ld(X2,X2)),ld(X0,X0))),
inference(superposition,[],[f23,f883]) ).
fof(f1017,plain,
! [X2,X0,X1] : ld(X2,X2) = ld(mult(X1,ld(X2,X2)),mult(mult(X1,ld(X2,X2)),ld(X0,X0))),
inference(forward_demodulation,[],[f993,f883]) ).
fof(f1032,plain,
! [X2,X0] : ld(X0,X0) = ld(X2,X2),
inference(forward_demodulation,[],[f1017,f11]) ).
fof(f1058,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(superposition,[],[f95,f1032]) ).
fof(f1063,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = X1,
inference(superposition,[],[f10,f1032]) ).
fof(f1194,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f1058,f1063]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP659+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n019.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 10:32:49 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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
% 10.62/2.73 % (2893765)Detected formulas, will run a generic FOF schedule.
% 10.62/2.73 % (2893773)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1391118844:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.62/2.73 % (2893773)Refutation not found, incomplete strategy
% 10.62/2.73 % (2893773)------------------------------
% 10.62/2.73 % (2893773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893773)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893773)Termination reason: Refutation not found, incomplete strategy
% 10.62/2.73 % (2893773)Time elapsed: 0.001 s
% 10.62/2.73 % (2893773)Peak memory usage: 88 MB
% 10.62/2.73 % (2893775)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2412664507:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.62/2.73 % (2893772)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=981106099:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.62/2.73 % (2893771)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=3566368591:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.62/2.73 % (2893770)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=2777868954:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.62/2.73 % (2893776)dis-21_1_sil=8000:lcm=predicate:random_seed=3779510001: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)
% 10.62/2.73 % (2893774)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4267322725:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.62/2.73 % (2893776)Refutation not found, incomplete strategy
% 10.62/2.73 % (2893776)------------------------------
% 10.62/2.73 % (2893776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893776)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893776)Termination reason: Refutation not found, incomplete strategy
% 10.62/2.73 % (2893776)Time elapsed: 0.002 s
% 10.62/2.73 % (2893776)Peak memory usage: 88 MB
% 10.62/2.73 % (2893775)Instruction limit reached!
% 10.62/2.73 % (2893775)------------------------------
% 10.62/2.73 % (2893775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893775)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893775)Termination reason: Instruction limit
% 10.62/2.73 % (2893775)Termination phase: Saturation
% 10.62/2.73 % (2893775)Time elapsed: 0.140 s
% 10.62/2.73 % (2893775)Peak memory usage: 89 MB
% 10.62/2.73 % (2893775)Instructions burned: 139 (million)
% 10.62/2.73 % (2893774)Instruction limit reached!
% 10.62/2.73 % (2893774)------------------------------
% 10.62/2.73 % (2893774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893774)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893774)Termination reason: Instruction limit
% 10.62/2.73 % (2893774)Termination phase: Saturation
% 10.62/2.73 % (2893774)Time elapsed: 0.107 s
% 10.62/2.73 % (2893774)Peak memory usage: 88 MB
% 10.62/2.73 % (2893774)Instructions burned: 119 (million)
% 10.62/2.73 % (2893773)------------------------------
% 10.62/2.73 % (2893773)------------------------------
% 10.62/2.73 % (2893784)lrs+10_1_sil=8000:sp=occurrence:random_seed=1629384346:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 10.62/2.73 % (2893776)------------------------------
% 10.62/2.73 % (2893776)------------------------------
% 10.62/2.73 % (2893785)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2833823142:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.62/2.73 % (2893786)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3176683099:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.62/2.73 % (2893784)Instruction limit reached!
% 10.62/2.73 % (2893784)------------------------------
% 10.62/2.73 % (2893784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893784)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893784)Termination reason: Instruction limit
% 10.62/2.73 % (2893784)Termination phase: Saturation
% 10.62/2.73 % (2893784)Time elapsed: 0.211 s
% 10.62/2.73 % (2893784)Peak memory usage: 92 MB
% 10.62/2.73 % (2893784)Instructions burned: 285 (million)
% 10.62/2.73 % (2893785)Instruction limit reached!
% 10.62/2.73 % (2893785)------------------------------
% 10.62/2.73 % (2893785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893785)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893785)Termination reason: Instruction limit
% 10.62/2.73 % (2893785)Termination phase: Saturation
% 10.62/2.73 % (2893785)Time elapsed: 0.162 s
% 10.62/2.73 % (2893785)Peak memory usage: 91 MB
% 10.62/2.73 % (2893785)Instructions burned: 157 (million)
% 10.62/2.73 % (2893789)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=3146287603:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 10.62/2.73 % (2893789)Instruction limit reached!
% 10.62/2.73 % (2893789)------------------------------
% 10.62/2.73 % (2893789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893789)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893789)Termination reason: Instruction limit
% 10.62/2.73 % (2893789)Termination phase: Saturation
% 10.62/2.73 % (2893789)Time elapsed: 0.093 s
% 10.62/2.73 % (2893789)Peak memory usage: 91 MB
% 10.62/2.73 % (2893789)Instructions burned: 250 (million)
% 10.62/2.73 % (2893791)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=29369420:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 10.62/2.73 % (2893791)Refutation not found, incomplete strategy
% 10.62/2.73 % (2893791)------------------------------
% 10.62/2.73 % (2893791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893791)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893791)Termination reason: Refutation not found, incomplete strategy
% 10.62/2.73 % (2893791)Time elapsed: 0.002 s
% 10.62/2.73 % (2893791)Peak memory usage: 88 MB
% 10.62/2.73 % (2893786)Instruction limit reached!
% 10.62/2.73 % (2893786)------------------------------
% 10.62/2.73 % (2893786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893786)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893786)Termination reason: Instruction limit
% 10.62/2.73 % (2893786)Termination phase: Saturation
% 10.62/2.73 % (2893786)Time elapsed: 0.335 s
% 10.62/2.73 % (2893786)Peak memory usage: 93 MB
% 10.62/2.73 % (2893786)Instructions burned: 326 (million)
% 10.62/2.73 % (2893792)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3932755916:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 10.62/2.73 % (2893794)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3047179287:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 10.62/2.73 % (2893772)Refutation not found, incomplete strategy
% 10.62/2.73 % (2893772)------------------------------
% 10.62/2.73 % (2893772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893772)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893772)Termination reason: Refutation not found, incomplete strategy
% 10.62/2.73 % (2893772)Time elapsed: 0.973 s
% 10.62/2.73 % (2893772)Peak memory usage: 127 MB
% 10.62/2.73 % (2893772)Instructions burned: 888 (million)
% 10.62/2.73 % (2893794)Refutation not found, incomplete strategy
% 10.62/2.73 % (2893794)------------------------------
% 10.62/2.73 % (2893794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.73 % (2893794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.73 % (2893794)CaDiCaL version: 2.1.3
% 10.62/2.73 % (2893794)Termination reason: Refutation not found, incomplete strategy
% 10.62/2.73 % (2893794)Time elapsed: 0.001 s
% 10.62/2.73 % (2893794)Peak memory usage: 88 MB
% 10.62/2.73 % (2893796)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3878475691:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 0.26/3.04 % (2893796)Refutation not found, incomplete strategy
% 0.26/3.04 % (2893796)------------------------------
% 0.26/3.04 % (2893796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/3.04 % (2893796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/3.04 % (2893796)CaDiCaL version: 2.1.3
% 0.26/3.04 % (2893796)Termination reason: Refutation not found, incomplete strategy
% 0.26/3.04 % (2893796)Time elapsed: 0.001 s
% 0.26/3.04 % (2893796)Peak memory usage: 88 MB
% 0.26/3.04 % (2893771)First to succeed.
% 0.26/3.04 % (2893771)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2893765"
% 0.26/3.04 % (2893791)------------------------------
% 0.26/3.04 % (2893791)------------------------------
% 0.26/3.04 % (2893794)------------------------------
% 0.26/3.04 % (2893794)------------------------------
% 0.26/3.04 % (2893770)Also succeeded, but the first one will report.
% 0.26/3.04 % (2893772)------------------------------
% 0.26/3.04 % (2893772)------------------------------
% 0.26/3.04 % (2893800)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=229656012:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 0.26/3.04 % (2893800)Refutation not found, incomplete strategy
% 0.26/3.04 % (2893800)------------------------------
% 0.26/3.04 % (2893800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/3.04 % (2893800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/3.04 % (2893800)CaDiCaL version: 2.1.3
% 0.26/3.04 % (2893800)Termination reason: Refutation not found, incomplete strategy
% 0.26/3.04 % (2893800)Time elapsed: 0.001 s
% 0.26/3.04 % (2893800)Peak memory usage: 88 MB
% 0.26/3.04 % (2893796)------------------------------
% 0.26/3.04 % (2893796)------------------------------
% 0.26/3.04 % (2893801)lrs+10_1_sil=8000:sp=occurrence:random_seed=3320363827:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 0.26/3.04 % (2893771)Refutation found. Thanks to Tanya!
% 0.26/3.04 % SZS status Theorem for theBenchmark
% 0.26/3.04 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/3.04 % (2893771)------------------------------
% 0.26/3.04 % (2893771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/3.04 % (2893771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/3.04 % (2893771)CaDiCaL version: 2.1.3
% 0.26/3.04 % (2893771)Termination reason: Refutation
% 0.26/3.04 % (2893771)Time elapsed: 1.119 s
% 0.26/3.04 % (2893771)Peak memory usage: 130 MB
% 0.26/3.04 % (2893771)Instructions burned: 1141 (million)
% 0.26/3.04 % (2893771)------------------------------
% 0.26/3.04 % (2893771)------------------------------
% 0.26/3.04 % (2893765)Success in time 1.823 s
% 0.26/3.04 % Vampire exiting
%------------------------------------------------------------------------------