%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP710+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 : n001.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 10:16:01 AM UTC 2026
% Result : Theorem 6.44s 1.85s
% Output : Refutation 6.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 78 ( 59 unt; 4 def)
% Number of atoms : 97 ( 74 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 50 ( 31 ~; 15 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 123 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1,X2] : mult(X2,mult(X1,mult(X1,X0))) = mult(mult(mult(X2,X1),X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0] : mult(X0,i(X0)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
( ! [X0,X1] :
? [X2] : mult(X0,X2) = X1
& ! [X3,X4] :
? [X5] : mult(X5,X4) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ( ! [X0,X1] :
? [X2] : mult(X0,X2) = X1
& ! [X3,X4] :
? [X5] : mult(X5,X4) = X3 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( ? [X0,X1] :
! [X2] : mult(X0,X2) != X1
| ? [X3,X4] :
! [X5] : mult(X5,X4) != X3 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( ! [X2] : sK1 != mult(sK0,X2)
| ! [X5] : sK2 != mult(X5,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X3,sK2),skolemize(X4,sK3)],[f8]) ).
fof(f10,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X1,X0))) = mult(mult(mult(X2,X1),X1),X0),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
! [X0] : unit = mult(i(X0),X0),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X2,X5] :
( sK1 != mult(sK0,X2)
| sK2 != mult(X5,sK3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,definition,
! [X2] : sF4(X2) = mult(sK0,X2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f17,plain,
! [X2] : mult(sK0,X2) = sF4(X2),
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
! [X5] : sF5(X5) = mult(X5,sK3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f19,plain,
! [X5] : mult(X5,sK3) = sF5(X5),
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
! [X2,X5] :
( sK1 != sF4(X2)
| sK2 != sF5(X5) ),
inference(definition_folding,[],[f15,f19,f17]) ).
fof(f22,definition,
( spl6_1
<=> ! [X5] : sK2 != sF5(X5) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f23,plain,
( ! [X5] : sK2 != sF5(X5)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f25,definition,
( spl6_2
<=> ! [X2] : sK1 != sF4(X2) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f26,plain,
( ! [X2] : sK1 != sF4(X2)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f27,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f20,f25,f22]) ).
fof(f30,plain,
! [X0,X1] : mult(sK0,mult(X0,mult(X0,X1))) = mult(mult(sF4(X0),X0),X1),
inference(superposition,[],[f12,f17]) ).
fof(f32,plain,
! [X2,X3,X0,X1] : mult(mult(mult(X0,X1),X1),mult(X2,mult(X2,X3))) = mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3),
inference(superposition,[],[f12,f12]) ).
fof(f34,plain,
! [X0,X1] : mult(X0,mult(sK3,mult(sK3,X1))) = mult(sF5(mult(X0,sK3)),X1),
inference(superposition,[],[f12,f19]) ).
fof(f36,plain,
! [X0,X1] : sF5(mult(mult(X0,X1),X1)) = mult(X0,mult(X1,mult(X1,sK3))),
inference(superposition,[],[f19,f12]) ).
fof(f37,plain,
! [X0,X1] : sF5(mult(mult(X0,X1),X1)) = mult(X0,mult(X1,sF5(X1))),
inference(forward_demodulation,[],[f36,f19]) ).
fof(f39,plain,
! [X0,X1] : mult(X0,mult(sK3,mult(sK3,X1))) = mult(sF5(sF5(X0)),X1),
inference(forward_demodulation,[],[f34,f19]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3) = mult(X0,mult(X1,mult(X1,mult(X2,mult(X2,X3))))),
inference(forward_demodulation,[],[f32,f12]) ).
fof(f42,plain,
! [X0,X1] : mult(mult(sF4(X0),X0),X1) = sF4(mult(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f30,f17]) ).
fof(f50,plain,
! [X0,X1] : mult(X0,mult(i(X0),mult(i(X0),X1))) = mult(mult(unit,i(X0)),X1),
inference(superposition,[],[f12,f13]) ).
fof(f54,plain,
! [X0,X1] : mult(i(X0),X1) = mult(X0,mult(i(X0),mult(i(X0),X1))),
inference(forward_demodulation,[],[f50,f11]) ).
fof(f88,plain,
! [X0,X1] : mult(i(X0),mult(X0,mult(X0,X1))) = mult(mult(unit,X0),X1),
inference(superposition,[],[f12,f14]) ).
fof(f90,plain,
unit = sF5(i(sK3)),
inference(superposition,[],[f19,f14]) ).
fof(f91,plain,
! [X0,X1] : mult(X0,X1) = mult(i(X0),mult(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f88,f11]) ).
fof(f96,plain,
! [X0] : mult(mult(sF4(X0),X0),sK3) = sF4(mult(X0,sF5(X0))),
inference(superposition,[],[f42,f19]) ).
fof(f104,plain,
( ! [X0,X1] : sK1 != mult(mult(sF4(X0),X0),X1)
| ~ spl6_2 ),
inference(superposition,[],[f26,f42]) ).
fof(f112,plain,
! [X0] : sF4(mult(X0,sF5(X0))) = sF5(mult(sF4(X0),X0)),
inference(forward_demodulation,[],[f96,f19]) ).
fof(f151,plain,
! [X0] : mult(i(X0),mult(X0,X0)) = X0,
inference(superposition,[],[f91,f10]) ).
fof(f266,plain,
( ! [X0,X1] : sK1 != mult(sF5(sF5(mult(sF4(X0),X0))),X1)
| ~ spl6_2 ),
inference(superposition,[],[f104,f39]) ).
fof(f279,plain,
( ! [X0,X1] : sK1 != mult(sF5(sF4(mult(X0,sF5(X0)))),X1)
| ~ spl6_2 ),
inference(forward_demodulation,[],[f266,f112]) ).
fof(f737,plain,
! [X0] : mult(i(i(X0)),mult(i(X0),X0)) = X0,
inference(superposition,[],[f91,f151]) ).
fof(f742,plain,
! [X0] : mult(i(i(X0)),unit) = X0,
inference(forward_demodulation,[],[f737,f14]) ).
fof(f751,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[],[f742,f10]) ).
fof(f1240,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,mult(i(X1),mult(i(X1),X2))))) = mult(mult(mult(X0,mult(X1,unit)),i(X1)),X2),
inference(superposition,[],[f40,f13]) ).
fof(f1251,plain,
! [X2,X0,X1] : mult(X0,mult(i(X1),mult(i(X1),mult(X1,mult(X1,X2))))) = mult(mult(mult(X0,mult(i(X1),unit)),X1),X2),
inference(superposition,[],[f40,f14]) ).
fof(f1389,plain,
! [X2,X0,X1] : mult(X0,mult(i(X1),mult(i(X1),mult(X1,mult(X1,X2))))) = mult(mult(mult(X0,i(X1)),X1),X2),
inference(forward_demodulation,[],[f1251,f10]) ).
fof(f1399,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,mult(i(X1),mult(i(X1),X2))))) = mult(mult(mult(X0,X1),i(X1)),X2),
inference(forward_demodulation,[],[f1240,f10]) ).
fof(f1439,plain,
! [X2,X0,X1] : mult(mult(mult(X0,i(X1)),X1),X2) = mult(X0,mult(i(X1),mult(X1,X2))),
inference(forward_demodulation,[],[f1389,f91]) ).
fof(f1449,plain,
! [X2,X0,X1] : mult(mult(mult(X0,X1),i(X1)),X2) = mult(X0,mult(X1,mult(i(X1),X2))),
inference(forward_demodulation,[],[f1399,f54]) ).
fof(f1517,plain,
! [X0,X1] : mult(unit,mult(X0,mult(i(X0),X1))) = mult(mult(X0,i(X0)),X1),
inference(superposition,[],[f1449,f11]) ).
fof(f1564,plain,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = mult(X0,mult(X1,mult(i(X1),unit))),
inference(superposition,[],[f10,f1449]) ).
fof(f1588,plain,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = mult(X0,mult(X1,i(X1))),
inference(forward_demodulation,[],[f1564,f10]) ).
fof(f1624,plain,
! [X0,X1] : mult(unit,X1) = mult(unit,mult(X0,mult(i(X0),X1))),
inference(forward_demodulation,[],[f1517,f13]) ).
fof(f1630,plain,
! [X0,X1] : mult(X0,unit) = mult(mult(X0,X1),i(X1)),
inference(forward_demodulation,[],[f1588,f13]) ).
fof(f1647,plain,
! [X0,X1] : mult(unit,X1) = mult(X0,mult(i(X0),X1)),
inference(forward_demodulation,[],[f1624,f11]) ).
fof(f1650,plain,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0,
inference(forward_demodulation,[],[f1630,f10]) ).
fof(f1657,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(forward_demodulation,[],[f1647,f11]) ).
fof(f1707,plain,
( ! [X0] : sK1 != X0
| ~ spl6_2 ),
inference(superposition,[],[f279,f1657]) ).
fof(f1728,plain,
( $false
| ~ spl6_2 ),
inference(equality_resolution,[],[f1707]) ).
fof(f1729,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f1728]) ).
fof(f1927,plain,
! [X0,X1] : mult(mult(X1,i(X0)),X0) = X1,
inference(superposition,[],[f1650,f751]) ).
fof(f3258,plain,
! [X0,X1] : mult(mult(X0,i(X1)),mult(X1,sF5(X1))) = sF5(mult(X0,mult(i(X1),mult(X1,X1)))),
inference(superposition,[],[f37,f1439]) ).
fof(f3366,plain,
! [X0,X1] : sF5(mult(X0,X1)) = mult(mult(X0,i(X1)),mult(X1,sF5(X1))),
inference(forward_demodulation,[],[f3258,f151]) ).
fof(f3566,plain,
! [X0] : sF5(mult(X0,i(sK3))) = mult(mult(X0,i(i(sK3))),mult(i(sK3),unit)),
inference(superposition,[],[f3366,f90]) ).
fof(f3631,plain,
! [X0] : sF5(mult(X0,i(sK3))) = mult(mult(X0,i(i(sK3))),i(sK3)),
inference(forward_demodulation,[],[f3566,f10]) ).
fof(f3669,plain,
! [X0] : sF5(mult(X0,i(sK3))) = X0,
inference(forward_demodulation,[],[f3631,f1927]) ).
fof(f3719,plain,
( ! [X0] : sK2 != X0
| ~ spl6_1 ),
inference(superposition,[],[f23,f3669]) ).
fof(f3747,plain,
( $false
| ~ spl6_1 ),
inference(equality_resolution,[],[f3719]) ).
fof(f3748,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f3747]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f27]) ).
cnf(s2,plain,
~ spl6_2,
inference(sat_conversion,[],[f1729]) ).
cnf(s3,plain,
~ spl6_1,
inference(sat_conversion,[],[f3748]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f3749,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP710+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.35 % Computer : n001.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 27 10:42:46 UTC 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 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
% 5.18/1.66 % (3372244)Detected formulas, will run a generic FOF schedule.
% 5.18/1.66 % (3372249)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=2699205401:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.18/1.66 % (3372252)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1326963522:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.18/1.66 % (3372253)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3889862515:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.18/1.66 % (3372250)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=2853127491:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.18/1.66 % (3372255)dis-21_1_sil=8000:lcm=predicate:random_seed=3441483473: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)
% 5.18/1.66 % (3372251)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=3163034713:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.18/1.66 % (3372254)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1397128659:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.18/1.66 % (3372252)Refutation not found, incomplete strategy
% 5.18/1.66 % (3372252)------------------------------
% 5.18/1.66 % (3372252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372255)Refutation not found, incomplete strategy
% 5.18/1.66 % (3372255)------------------------------
% 5.18/1.66 % (3372255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372252)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372255)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372252)Termination reason: Refutation not found, incomplete strategy
% 5.18/1.66 % (3372252)Time elapsed: 0.001 s
% 5.18/1.66 % (3372255)Termination reason: Refutation not found, incomplete strategy
% 5.18/1.66 % (3372255)Time elapsed: 0.001 s
% 5.18/1.66 % (3372252)Peak memory usage: 88 MB
% 5.18/1.66 % (3372255)Peak memory usage: 88 MB
% 5.18/1.66 % (3372253)Instruction limit reached!
% 5.18/1.66 % (3372253)------------------------------
% 5.18/1.66 % (3372253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372253)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372253)Termination reason: Instruction limit
% 5.18/1.66 % (3372253)Termination phase: Saturation
% 5.18/1.66 % (3372253)Time elapsed: 0.056 s
% 5.18/1.66 % (3372253)Peak memory usage: 88 MB
% 5.18/1.66 % (3372253)Instructions burned: 120 (million)
% 5.18/1.66 % (3372254)Instruction limit reached!
% 5.18/1.66 % (3372254)------------------------------
% 5.18/1.66 % (3372254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372254)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372254)Termination reason: Instruction limit
% 5.18/1.66 % (3372254)Termination phase: Saturation
% 5.18/1.66 % (3372254)Time elapsed: 0.083 s
% 5.18/1.66 % (3372254)Peak memory usage: 89 MB
% 5.18/1.66 % (3372254)Instructions burned: 141 (million)
% 5.18/1.66 % (3372263)lrs+10_1_sil=8000:sp=occurrence:random_seed=3813788287:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.18/1.66 % (3372264)lrs+10_1_sil=32000:urr=on:br=off:random_seed=471097618:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.18/1.66 % (3372252)------------------------------
% 5.18/1.66 % (3372252)------------------------------
% 5.18/1.66 % (3372255)------------------------------
% 5.18/1.66 % (3372255)------------------------------
% 5.18/1.66 % (3372264)Instruction limit reached!
% 5.18/1.66 % (3372264)------------------------------
% 5.18/1.66 % (3372264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372264)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372264)Termination reason: Instruction limit
% 5.18/1.66 % (3372264)Termination phase: Saturation
% 5.18/1.66 % (3372264)Time elapsed: 0.091 s
% 5.18/1.66 % (3372264)Peak memory usage: 90 MB
% 5.18/1.66 % (3372264)Instructions burned: 157 (million)
% 5.18/1.66 % (3372263)Instruction limit reached!
% 5.18/1.66 % (3372263)------------------------------
% 5.18/1.66 % (3372263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372263)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372263)Termination reason: Instruction limit
% 5.18/1.66 % (3372263)Termination phase: Saturation
% 5.18/1.66 % (3372263)Time elapsed: 0.164 s
% 5.18/1.66 % (3372263)Peak memory usage: 91 MB
% 5.18/1.66 % (3372263)Instructions burned: 286 (million)
% 5.18/1.66 % (3372268)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=4094649978:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.18/1.66 % (3372267)lrs+1011_1_sil=32000:sp=occurrence:random_seed=392734699:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.18/1.66 % (3372269)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3837222556:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.18/1.66 % (3372269)Refutation not found, incomplete strategy
% 5.18/1.66 % (3372269)------------------------------
% 5.18/1.66 % (3372269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372269)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372269)Termination reason: Refutation not found, incomplete strategy
% 5.18/1.66 % (3372269)Time elapsed: 0.001 s
% 5.18/1.66 % (3372269)Peak memory usage: 88 MB
% 5.18/1.66 % (3372270)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=457466581:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.18/1.66 % (3372249)First to succeed.
% 5.18/1.66 % (3372249)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3372244"
% 5.18/1.66 % (3372268)Instruction limit reached!
% 5.18/1.66 % (3372268)------------------------------
% 5.18/1.66 % (3372268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372268)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372268)Termination reason: Instruction limit
% 5.18/1.66 % (3372268)Termination phase: Saturation
% 5.18/1.66 % (3372268)Time elapsed: 0.157 s
% 5.18/1.66 % (3372268)Peak memory usage: 91 MB
% 5.18/1.66 % (3372268)Instructions burned: 249 (million)
% 5.18/1.66 % (3372267)Instruction limit reached!
% 5.18/1.66 % (3372267)------------------------------
% 5.18/1.66 % (3372267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372267)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372267)Termination reason: Instruction limit
% 5.18/1.66 % (3372267)Termination phase: Saturation
% 5.18/1.66 % (3372267)Time elapsed: 0.187 s
% 5.18/1.66 % (3372267)Peak memory usage: 91 MB
% 5.18/1.66 % (3372267)Instructions burned: 326 (million)
% 5.18/1.66 % (3372251)Refutation not found, incomplete strategy
% 5.18/1.66 % (3372251)------------------------------
% 5.18/1.66 % (3372251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372251)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372251)Termination reason: Refutation not found, incomplete strategy
% 5.18/1.66 % (3372251)Time elapsed: 0.601 s
% 5.18/1.66 % (3372251)Peak memory usage: 128 MB
% 5.18/1.66 % (3372251)Instructions burned: 895 (million)
% 5.18/1.66 % (3372275)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=462327181:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.18/1.66 % (3372275)Refutation not found, incomplete strategy
% 5.18/1.66 % (3372275)------------------------------
% 5.18/1.66 % (3372275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.66 % (3372275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.66 % (3372275)CaDiCaL version: 2.1.3
% 5.18/1.66 % (3372275)Termination reason: Refutation not found, incomplete strategy
% 6.44/1.85 % (3372275)Time elapsed: 0.001 s
% 6.44/1.85 % (3372275)Peak memory usage: 88 MB
% 6.44/1.85 % (3372250)Also succeeded, but the first one will report.
% 6.44/1.85 % (3372249)Refutation found. Thanks to Tanya!
% 6.44/1.85 % SZS status Theorem for theBenchmark
% 6.44/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 6.44/1.85 % (3372249)------------------------------
% 6.44/1.85 % (3372249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.85 % (3372249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.85 % (3372249)CaDiCaL version: 2.1.3
% 6.44/1.85 % (3372249)Termination reason: Refutation
% 6.44/1.85 % (3372249)Time elapsed: 0.560 s
% 6.44/1.85 % (3372249)Peak memory usage: 134 MB
% 6.44/1.85 % (3372249)Instructions burned: 1466 (million)
% 6.44/1.85 % (3372249)------------------------------
% 6.44/1.85 % (3372249)------------------------------
% 6.44/1.85 % (3372244)Success in time 0.824 s
% 6.44/1.85 % Vampire exiting
%------------------------------------------------------------------------------