%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN056+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:26:39 PM UTC 2026
% Result : Theorem 4.49s 1.59s
% Output : Refutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 16 unt; 0 def)
% Number of atoms : 245 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 330 ( 147 ~; 125 |; 58 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-2 aty)
% Number of variables : 223 ( 188 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( id(X1,X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
! [X0,X1] :
? [X2] :
! [X3] :
( ( id(X3,X2)
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ~ id(X0,X2)
| ~ id(X1,X3)
| ( ~ r2(X0,X1)
& ~ r2(X2,X3) )
| ( r2(X0,X1)
& r2(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ~ id(X0,X3)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ( ~ r3(X0,X1,X2)
& ~ r3(X3,X4,X5) )
| ( r3(X0,X1,X2)
& r3(X3,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f13,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r4(X0,X4,X3) ) )
& ? [X5] :
( r3(X5,X0,X2)
& r4(X0,X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).
fof(f15,axiom,
! [X0] :
? [X1] :
( id(X1,X0)
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f16,axiom,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( id(X1,X3)
& r1(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).
fof(f19,conjecture,
? [X0] :
( ? [X1] :
( id(X0,X1)
& ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r1(X4)
& r2(X4,X3) ) ) ) )
& ? [X5] :
( ? [X6] :
( r3(X6,X5,X0)
& ? [X7] :
( r1(X7)
& r2(X7,X6) ) )
& ? [X8] :
( r2(X8,X5)
& ? [X9] :
( r1(X9)
& r2(X9,X8) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneplustwoidthree) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( id(X0,X1)
& ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r1(X4)
& r2(X4,X3) ) ) ) )
& ? [X5] :
( ? [X6] :
( r3(X6,X5,X0)
& ? [X7] :
( r1(X7)
& r2(X7,X6) ) )
& ? [X8] :
( r2(X8,X5)
& ? [X9] :
( r1(X9)
& r2(X9,X8) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ~ id(X0,X1)
| ! [X2] :
( ~ r2(X2,X1)
| ! [X3] :
( ~ r2(X3,X2)
| ! [X4] :
( ~ r1(X4)
| ~ r2(X4,X3) ) ) ) )
| ! [X5] :
( ! [X6] :
( ~ r3(X6,X5,X0)
| ! [X7] :
( ~ r1(X7)
| ~ r2(X7,X6) ) )
| ! [X8] :
( ~ r2(X8,X5)
| ! [X9] :
( ~ r1(X9)
| ~ r2(X9,X8) ) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
! [X1] :
( ( id(X1,sK0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f24,plain,
! [X0,X1,X3] :
( ( id(X3,sK2(X0,X1))
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,sK2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( id(sK5(X0,X1),sK4(X0,X1))
& r2(X1,sK6(X0,X1))
& r3(X0,sK6(X0,X1),sK5(X0,X1))
& r2(sK7(X0,X1),sK4(X0,X1))
& r3(X0,X1,sK7(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X5,sK7(X0,X1))],[f12]) ).
fof(f27,plain,
! [X0,X1] :
( id(sK9(X0,X1),sK8(X0,X1))
& r2(X1,sK10(X0,X1))
& r4(X0,sK10(X0,X1),sK9(X0,X1))
& r3(sK11(X0,X1),X0,sK8(X0,X1))
& r4(X0,X1,sK11(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X2,sK8(X0,X1)),skolemize(X3,sK9(X0,X1)),skolemize(X4,sK10(X0,X1)),skolemize(X5,sK11(X0,X1))],[f13]) ).
fof(f28,plain,
! [X0] :
( id(sK12(X0),X0)
& r1(sK13(X0))
& r3(X0,sK13(X0),sK12(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f15]) ).
fof(f29,plain,
! [X0] :
( r1(sK15(X0))
& r4(X0,sK15(X0),sK14(X0))
& id(sK14(X0),sK16(X0))
& r1(sK16(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0))],[f16]) ).
fof(f31,plain,
! [X1] :
( ~ id(X1,sK0)
| r1(X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f34,plain,
! [X1] :
( id(X1,sK0)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
! [X3,X0,X1] :
( id(X3,sK2(X0,X1))
| ~ r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2)
| r2(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2)
| r2(X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X0,X1,X2)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ~ id(X0,X3)
| r3(X3,X4,X5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f66,plain,
! [X0,X1] : r3(X0,X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X0,X1] : r2(sK7(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
! [X0,X1] : r3(X0,sK6(X0,X1),sK5(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f69,plain,
! [X0,X1] : r2(X1,sK6(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
! [X0,X1] : id(sK5(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f74,plain,
! [X0,X1] : r2(X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
fof(f77,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f78,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f79,plain,
! [X0] : id(sK12(X0),X0),
inference(cnf_transformation,[],[f28]) ).
fof(f80,plain,
! [X0] : r1(sK16(X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r3(X6,X5,X0)
| ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r1(X4)
| ~ r2(X4,X3)
| ~ id(X0,X1)
| ~ r1(X7)
| ~ r2(X7,X6)
| ~ r2(X8,X5)
| ~ r1(X9)
| ~ r2(X9,X8) ),
inference(cnf_transformation,[],[f21]) ).
fof(f92,plain,
r1(sK0),
inference(resolution,[],[f47,f31]) ).
fof(f127,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r2(X7,sK6(X4,X5))
| ~ r2(X2,X0)
| ~ r1(X3)
| ~ r2(X3,X2)
| ~ id(sK5(X4,X5),X1)
| ~ r1(X6)
| ~ r2(X6,X4)
| ~ r2(X0,X1)
| ~ r1(X8)
| ~ r2(X8,X7) ),
inference(resolution,[],[f68,f89]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ id(sK5(X3,X4),X5)
| ~ r1(X2)
| ~ r2(X2,X0)
| ~ r2(X0,X1)
| ~ r1(X6)
| ~ r2(X6,X3)
| ~ r2(X1,X5)
| ~ r1(X7)
| ~ r2(X7,X4) ),
inference(resolution,[],[f127,f69]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X2,sK5(X4,X5))
| ~ r2(X0,X1)
| ~ r2(X1,X2)
| ~ r1(X3)
| ~ r2(X3,X4)
| ~ r1(X0)
| ~ r1(X6)
| ~ r2(X6,X5) ),
inference(resolution,[],[f128,f47]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ id(sK7(X0,X1),X3)
| ~ id(sK4(X0,X1),X2)
| r2(X3,X2) ),
inference(resolution,[],[f56,f67]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( ~ id(sK13(X0),X1)
| ~ id(sK12(X0),X2)
| ~ id(X0,X3)
| r3(X3,X1,X2) ),
inference(resolution,[],[f60,f77]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ id(sK12(X0),X1)
| ~ id(X0,X2)
| r3(X2,sK0,X1)
| ~ r1(sK13(X0)) ),
inference(resolution,[],[f147,f34]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ id(sK12(X0),X1)
| ~ id(X0,X2)
| r3(X2,sK0,X1) ),
inference(forward_subsumption_resolution,[],[f151,f78]) ).
fof(f153,plain,
! [X0,X1] :
( r3(X1,sK0,X0)
| ~ id(X0,X1) ),
inference(resolution,[],[f152,f79]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3(X0,X1,sK7(X2,X3))
| ~ id(sK4(X2,X3),X4)
| r2(sK2(X0,X1),X4) ),
inference(resolution,[],[f42,f140]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ id(sK4(X0,X1),X2)
| r2(sK2(X0,X1),X2) ),
inference(resolution,[],[f222,f66]) ).
fof(f252,plain,
! [X0,X1] : r2(sK2(X0,X1),sK4(X0,X1)),
inference(resolution,[],[f250,f47]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( ~ id(X3,sK2(X1,X2))
| ~ id(X0,sK4(X1,X2))
| r2(X3,X0) ),
inference(resolution,[],[f252,f55]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( ~ id(X0,sK4(X1,X2))
| r2(X3,X0)
| ~ r3(X1,X2,X3) ),
inference(resolution,[],[f259,f42]) ).
fof(f292,plain,
! [X2,X0,X1] :
( r2(X0,sK5(X1,X2))
| ~ r3(X1,X2,X0) ),
inference(resolution,[],[f268,f70]) ).
fof(f296,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r3(X0,X1,X2)
| ~ r2(X3,X4)
| ~ r2(X4,X2)
| ~ r1(X5)
| ~ r2(X5,X0)
| ~ r1(X3)
| ~ r1(X6)
| ~ r2(X6,X1) ),
inference(resolution,[],[f292,f129]) ).
fof(f312,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X5,sK6(X2,X3))
| ~ r2(X1,sK5(X2,X3))
| ~ r1(X4)
| ~ r2(X4,X2)
| ~ r1(X0)
| ~ r1(X5)
| ~ r2(X0,X1) ),
inference(resolution,[],[f296,f68]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X0,sK5(X1,X2))
| ~ r1(X3)
| ~ r2(X3,X1)
| ~ r1(X4)
| ~ r1(X2)
| ~ r2(X4,X0) ),
inference(resolution,[],[f312,f69]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3(X1,X3,X4)
| ~ r2(X0,X1)
| ~ r1(X2)
| ~ r1(X3)
| ~ r2(X2,X4)
| ~ r1(X0) ),
inference(resolution,[],[f314,f292]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ r1(sK0)
| ~ r2(X2,X3)
| ~ r1(X0)
| ~ id(X3,X1) ),
inference(resolution,[],[f315,f153]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X0,X1)
| ~ r1(X0)
| ~ id(X3,X1) ),
inference(forward_subsumption_resolution,[],[f318,f92]) ).
fof(f342,plain,
! [X2,X3,X0,X1] :
( ~ id(sK10(X3,X0),X2)
| ~ r2(X1,X2)
| ~ r1(X1)
| ~ r1(X0) ),
inference(resolution,[],[f324,f74]) ).
fof(f346,plain,
! [X2,X0,X1] :
( ~ r2(X0,sK10(X1,X2))
| ~ r1(X0)
| ~ r1(X2) ),
inference(resolution,[],[f342,f47]) ).
fof(f351,plain,
! [X0] :
( ~ r1(X0)
| ~ r1(X0) ),
inference(resolution,[],[f346,f74]) ).
fof(f352,plain,
! [X0] : ~ r1(X0),
inference(duplicate_literal_removal,[],[f351]) ).
fof(f358,plain,
$false,
inference(resolution,[],[f352,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN056+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 21:47:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.42 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
% 4.49/1.59 % (2973527)Detected formulas, will run a generic FOF schedule.
% 4.49/1.59 % (2973532)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=3250478601:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.49/1.59 % (2973538)dis-21_1_sil=8000:lcm=predicate:random_seed=2457040847: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)
% 4.49/1.59 % (2973534)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=78024133:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.49/1.59 % (2973537)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1007156356:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.49/1.59 % (2973533)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=2803297429:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.49/1.59 % (2973536)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=459912509:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.49/1.59 % (2973535)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3904740211:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.49/1.59 % (2973535)Instruction limit reached!
% 4.49/1.59 % (2973535)------------------------------
% 4.49/1.59 % (2973535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.59 % (2973535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.59 % (2973535)CaDiCaL version: 2.1.3
% 4.49/1.59 % (2973535)Termination reason: Instruction limit
% 4.49/1.59 % (2973535)Termination phase: Saturation
% 4.49/1.59 % (2973535)Time elapsed: 0.056 s
% 4.49/1.59 % (2973535)Peak memory usage: 88 MB
% 4.49/1.59 % (2973535)Instructions burned: 109 (million)
% 4.49/1.59 % (2973538)Instruction limit reached!
% 4.49/1.59 % (2973538)------------------------------
% 4.49/1.59 % (2973538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.59 % (2973538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.59 % (2973538)CaDiCaL version: 2.1.3
% 4.49/1.59 % (2973538)Termination reason: Instruction limit
% 4.49/1.59 % (2973538)Termination phase: Saturation
% 4.49/1.59 % (2973538)Time elapsed: 0.060 s
% 4.49/1.59 % (2973538)Peak memory usage: 87 MB
% 4.49/1.59 % (2973538)Instructions burned: 130 (million)
% 4.49/1.59 % (2973536)Instruction limit reached!
% 4.49/1.59 % (2973536)------------------------------
% 4.49/1.59 % (2973536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.59 % (2973536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.59 % (2973536)CaDiCaL version: 2.1.3
% 4.49/1.59 % (2973536)Termination reason: Instruction limit
% 4.49/1.59 % (2973536)Termination phase: Saturation
% 4.49/1.59 % (2973536)Time elapsed: 0.070 s
% 4.49/1.59 % (2973536)Peak memory usage: 88 MB
% 4.49/1.59 % (2973536)Instructions burned: 120 (million)
% 4.49/1.59 % (2973537)Instruction limit reached!
% 4.49/1.59 % (2973537)------------------------------
% 4.49/1.59 % (2973537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.59 % (2973537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.59 % (2973537)CaDiCaL version: 2.1.3
% 4.49/1.59 % (2973537)Termination reason: Instruction limit
% 4.49/1.59 % (2973537)Termination phase: Saturation
% 4.49/1.59 % (2973537)Time elapsed: 0.070 s
% 4.49/1.59 % (2973537)Peak memory usage: 88 MB
% 4.49/1.59 % (2973537)Instructions burned: 139 (million)
% 4.49/1.59 % (2973546)lrs+10_1_sil=8000:sp=occurrence:random_seed=834080414:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.49/1.59 % (2973547)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3374261273:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.49/1.59 % (2973549)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=3598135235:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.49/1.59 % (2973548)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2070963533:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.49/1.59 % (2973547)Instruction limit reached!
% 4.49/1.59 % (2973547)------------------------------
% 4.49/1.59 % (2973547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.59 % (2973547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.59 % (2973547)CaDiCaL version: 2.1.3
% 4.49/1.59 % (2973547)Termination reason: Instruction limit
% 4.49/1.59 % (2973547)Termination phase: Saturation
% 4.49/1.59 % (2973547)Time elapsed: 0.075 s
% 4.49/1.59 % (2973547)Peak memory usage: 90 MB
% 4.49/1.59 % (2973547)Instructions burned: 159 (million)
% 4.49/1.59 % (2973549)Instruction limit reached!
% 4.49/1.59 % (2973549)------------------------------
% 4.49/1.59 % (2973549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.59 % (2973549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.59 % (2973549)CaDiCaL version: 2.1.3
% 4.49/1.59 % (2973549)Termination reason: Instruction limit
% 4.49/1.59 % (2973549)Termination phase: Saturation
% 4.49/1.59 % (2973549)Time elapsed: 0.116 s
% 4.49/1.59 % (2973549)Peak memory usage: 92 MB
% 4.49/1.59 % (2973549)Instructions burned: 248 (million)
% 4.49/1.59 % (2973546)Instruction limit reached!
% 4.49/1.59 % (2973546)------------------------------
% 4.49/1.59 % (2973546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.59 % (2973546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.59 % (2973546)CaDiCaL version: 2.1.3
% 4.49/1.59 % (2973546)Termination reason: Instruction limit
% 4.49/1.59 % (2973546)Termination phase: Saturation
% 4.49/1.59 % (2973546)Time elapsed: 0.170 s
% 4.49/1.59 % (2973546)Peak memory usage: 91 MB
% 4.49/1.59 % (2973546)Instructions burned: 286 (million)
% 4.49/1.59 % (2973532)First to succeed.
% 4.49/1.59 % (2973532)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2973527"
% 4.49/1.59 % (2973548)Instruction limit reached!
% 4.49/1.59 % (2973548)------------------------------
% 4.49/1.59 % (2973548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.59 % (2973548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.59 % (2973548)CaDiCaL version: 2.1.3
% 4.49/1.59 % (2973548)Termination reason: Instruction limit
% 4.49/1.59 % (2973548)Termination phase: Saturation
% 4.49/1.59 % (2973548)Time elapsed: 0.204 s
% 4.49/1.59 % (2973548)Peak memory usage: 92 MB
% 4.49/1.59 % (2973548)Instructions burned: 326 (million)
% 4.49/1.59 % (2973554)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3267368539:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.49/1.59 % (2973555)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2338173226:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.49/1.59 % (2973556)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1441804665:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.49/1.59 % (2973532)Refutation found. Thanks to Tanya!
% 4.49/1.59 % SZS status Theorem for theBenchmark
% 4.49/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.70/1.77 % (2973532)------------------------------
% 5.70/1.77 % (2973532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.77 % (2973532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.77 % (2973532)CaDiCaL version: 2.1.3
% 5.70/1.77 % (2973532)Termination reason: Refutation
% 5.70/1.77 % (2973532)Time elapsed: 0.436 s
% 5.70/1.77 % (2973532)Peak memory usage: 129 MB
% 5.70/1.77 % (2973532)Instructions burned: 1011 (million)
% 5.70/1.77 % (2973532)------------------------------
% 5.70/1.77 % (2973532)------------------------------
% 5.70/1.77 % (2973527)Success in time 0.727 s
% 5.70/1.77 % Vampire exiting
%------------------------------------------------------------------------------