%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE027+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 : n013.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 11:40:07 AM UTC 2026
% Result : Theorem 9.45s 2.17s
% Output : Refutation 9.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 73 ( 56 unt; 8 def)
% Number of atoms : 115 ( 81 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 67 ( 25 ~; 19 |; 17 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-2 aty)
% Number of variables : 78 ( 68 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) = addition(multiplication(X3,X0),multiplication(c(X3),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) = addition(multiplication(X3,X0),multiplication(c(X3),X2)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1,X2,X3,X4] :
( addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) != addition(multiplication(X3,X0),multiplication(c(X3),X2))
& test(X3)
& test(X4) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2,X3,X4] :
( addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) != addition(multiplication(X3,X0),multiplication(c(X3),X2))
& test(X3)
& test(X4) ),
inference(flattening,[],[f21]) ).
fof(f26,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f29,plain,
( addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)) != addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3))
& test(sK4)
& test(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f22]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f37,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f51,plain,
test(sK4),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)) != addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f54,definition,
sF6 = multiplication(sK4,sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f55,plain,
multiplication(sK4,sK1) = sF6,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF7 = c(sK4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f57,plain,
c(sK4) = sF7,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF8 = multiplication(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f59,plain,
multiplication(sF7,sK2) = sF8,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF9 = addition(sF6,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f61,plain,
addition(sF6,sF8) = sF9,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF10 = multiplication(sK4,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f63,plain,
multiplication(sK4,sF9) = sF10,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF11 = multiplication(sF7,sK3),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f65,plain,
multiplication(sF7,sK3) = sF11,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF12 = addition(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f67,plain,
addition(sF10,sF11) = sF12,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF13 = addition(sF6,sF11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f69,plain,
addition(sF6,sF11) = sF13,
inference(reorient_equations,[],[f68]) ).
fof(f70,plain,
sF12 != sF13,
inference(definition_folding,[],[f52,f69,f65,f57,f55,f67,f65,f57,f63,f61,f59,f57,f55]) ).
fof(f92,plain,
( complement(sK4,sF7)
| ~ test(sK4) ),
inference(superposition,[],[f53,f57]) ).
fof(f93,plain,
complement(sK4,sF7),
inference(forward_subsumption_resolution,[],[f92,f51]) ).
fof(f194,plain,
one = addition(sF7,sK4),
inference(resolution,[],[f93,f43]) ).
fof(f617,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f30,f32]) ).
fof(f683,plain,
zero = multiplication(sF7,sK4),
inference(resolution,[],[f45,f93]) ).
fof(f687,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF7,multiplication(sK4,X0)),
inference(superposition,[],[f34,f683]) ).
fof(f702,plain,
! [X0] : zero = multiplication(sF7,multiplication(sK4,X0)),
inference(forward_demodulation,[],[f687,f40]) ).
fof(f708,plain,
zero = multiplication(sK4,sF7),
inference(resolution,[],[f44,f93]) ).
fof(f713,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK4,multiplication(sF7,X0)),
inference(superposition,[],[f34,f708]) ).
fof(f728,plain,
! [X0] : zero = multiplication(sK4,multiplication(sF7,X0)),
inference(forward_demodulation,[],[f713,f40]) ).
fof(f1868,plain,
zero = multiplication(sK4,sF8),
inference(superposition,[],[f728,f59]) ).
fof(f1947,plain,
! [X0] : addition(multiplication(sK4,X0),zero) = multiplication(sK4,addition(X0,sF8)),
inference(superposition,[],[f37,f1868]) ).
fof(f1962,plain,
! [X0] : multiplication(sK4,X0) = multiplication(sK4,addition(X0,sF8)),
inference(forward_demodulation,[],[f1947,f32]) ).
fof(f2099,plain,
multiplication(sK4,sF9) = multiplication(sK4,sF6),
inference(superposition,[],[f1962,f61]) ).
fof(f2126,plain,
sF10 = multiplication(sK4,sF6),
inference(forward_demodulation,[],[f2099,f63]) ).
fof(f2493,plain,
zero = multiplication(sF7,sF6),
inference(superposition,[],[f702,f55]) ).
fof(f2548,plain,
! [X0] : multiplication(addition(sF7,X0),sF6) = addition(zero,multiplication(X0,sF6)),
inference(superposition,[],[f38,f2493]) ).
fof(f2574,plain,
! [X0] : multiplication(X0,sF6) = multiplication(addition(sF7,X0),sF6),
inference(forward_demodulation,[],[f2548,f617]) ).
fof(f2637,plain,
multiplication(sK4,sF6) = multiplication(one,sF6),
inference(superposition,[],[f2574,f194]) ).
fof(f2671,plain,
sF6 = multiplication(sK4,sF6),
inference(forward_demodulation,[],[f2637,f36]) ).
fof(f2680,plain,
sF6 = sF10,
inference(forward_demodulation,[],[f2671,f2126]) ).
fof(f2687,plain,
sF12 = addition(sF6,sF11),
inference(superposition,[],[f67,f2680]) ).
fof(f2698,plain,
sF12 = sF13,
inference(forward_demodulation,[],[f2687,f69]) ).
fof(f2701,plain,
$false,
inference(forward_subsumption_resolution,[],[f2698,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE027+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n013.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 13:03:06 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 9.45/2.17 % (207594)Detected formulas, will run a generic FOF schedule.
% 9.45/2.17 % (207605)dis-21_1_sil=8000:lcm=predicate:random_seed=995848549: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)
% 9.45/2.17 % (207605)Refutation not found, incomplete strategy
% 9.45/2.17 % (207605)------------------------------
% 9.45/2.17 % (207605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207605)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207605)Termination reason: Refutation not found, incomplete strategy
% 9.45/2.17 % (207605)Time elapsed: 0.002 s
% 9.45/2.17 % (207605)Peak memory usage: 88 MB
% 9.45/2.17 % (207605)Instructions burned: 2 (million)
% 9.45/2.17 % (207599)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=1009866868:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.45/2.17 % (207601)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=3246286245:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.45/2.17 % (207602)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1560689991:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.45/2.17 % (207600)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=1874125552:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.45/2.17 % (207603)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2726977063:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.45/2.17 % (207604)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3552029896:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.45/2.17 % (207602)Refutation not found, incomplete strategy
% 9.45/2.17 % (207602)------------------------------
% 9.45/2.17 % (207602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207602)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207602)Termination reason: Refutation not found, incomplete strategy
% 9.45/2.17 % (207602)Time elapsed: 0.002 s
% 9.45/2.17 % (207602)Peak memory usage: 88 MB
% 9.45/2.17 % (207602)Instructions burned: 1 (million)
% 9.45/2.17 % (207603)Instruction limit reached!
% 9.45/2.17 % (207603)------------------------------
% 9.45/2.17 % (207603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207603)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207603)Termination reason: Instruction limit
% 9.45/2.17 % (207603)Termination phase: Saturation
% 9.45/2.17 % (207603)Time elapsed: 0.070 s
% 9.45/2.17 % (207603)Peak memory usage: 88 MB
% 9.45/2.17 % (207603)Instructions burned: 121 (million)
% 9.45/2.17 % (207604)Instruction limit reached!
% 9.45/2.17 % (207604)------------------------------
% 9.45/2.17 % (207604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207604)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207604)Termination reason: Instruction limit
% 9.45/2.17 % (207604)Termination phase: Saturation
% 9.45/2.17 % (207604)Time elapsed: 0.080 s
% 9.45/2.17 % (207604)Peak memory usage: 90 MB
% 9.45/2.17 % (207604)Instructions burned: 141 (million)
% 9.45/2.17 % (207605)------------------------------
% 9.45/2.17 % (207605)------------------------------
% 9.45/2.17 % (207614)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2838288058:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.45/2.17 % (207613)lrs+10_1_sil=8000:sp=occurrence:random_seed=3951800752:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.45/2.17 % (207615)lrs+1011_1_sil=32000:sp=occurrence:random_seed=721006635:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.45/2.17 % (207602)------------------------------
% 9.45/2.17 % (207602)------------------------------
% 9.45/2.17 % (207614)Instruction limit reached!
% 9.45/2.17 % (207614)------------------------------
% 9.45/2.17 % (207614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207614)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207614)Termination reason: Instruction limit
% 9.45/2.17 % (207614)Termination phase: Saturation
% 9.45/2.17 % (207614)Time elapsed: 0.086 s
% 9.45/2.17 % (207614)Peak memory usage: 89 MB
% 9.45/2.17 % (207614)Instructions burned: 158 (million)
% 9.45/2.17 % (207615)Instruction limit reached!
% 9.45/2.17 % (207615)------------------------------
% 9.45/2.17 % (207615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207615)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207615)Termination reason: Instruction limit
% 9.45/2.17 % (207615)Termination phase: Saturation
% 9.45/2.17 % (207615)Time elapsed: 0.101 s
% 9.45/2.17 % (207615)Peak memory usage: 91 MB
% 9.45/2.17 % (207615)Instructions burned: 326 (million)
% 9.45/2.17 % (207613)Instruction limit reached!
% 9.45/2.17 % (207613)------------------------------
% 9.45/2.17 % (207613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207613)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207613)Termination reason: Instruction limit
% 9.45/2.17 % (207613)Termination phase: Saturation
% 9.45/2.17 % (207613)Time elapsed: 0.173 s
% 9.45/2.17 % (207613)Peak memory usage: 91 MB
% 9.45/2.17 % (207613)Instructions burned: 286 (million)
% 9.45/2.17 % (207619)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=2707384631:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.45/2.17 % (207621)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2896917063:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.45/2.17 % (207620)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2743537240:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.45/2.17 % (207622)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2630743125:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.45/2.17 % (207619)Instruction limit reached!
% 9.45/2.17 % (207619)------------------------------
% 9.45/2.17 % (207619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207619)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207619)Termination reason: Instruction limit
% 9.45/2.17 % (207619)Termination phase: Saturation
% 9.45/2.17 % (207619)Time elapsed: 0.151 s
% 9.45/2.17 % (207619)Peak memory usage: 91 MB
% 9.45/2.17 % (207619)Instructions burned: 250 (million)
% 9.45/2.17 % (207620)Instruction limit reached!
% 9.45/2.17 % (207620)------------------------------
% 9.45/2.17 % (207620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207620)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207620)Termination reason: Instruction limit
% 9.45/2.17 % (207620)Termination phase: Saturation
% 9.45/2.17 % (207620)Time elapsed: 0.164 s
% 9.45/2.17 % (207620)Peak memory usage: 89 MB
% 9.45/2.17 % (207620)Instructions burned: 295 (million)
% 9.45/2.17 % (207622)Instruction limit reached!
% 9.45/2.17 % (207622)------------------------------
% 9.45/2.17 % (207622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207622)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207622)Termination reason: Instruction limit
% 9.45/2.17 % (207622)Termination phase: Saturation
% 9.45/2.17 % (207622)Time elapsed: 0.080 s
% 9.45/2.17 % (207622)Peak memory usage: 90 MB
% 9.45/2.17 % (207622)Instructions burned: 114 (million)
% 9.45/2.17 % (207627)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1153336179:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.45/2.17 % (207628)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1337590152:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.45/2.17 % (207629)lrs+10_1_sil=8000:sp=occurrence:random_seed=1603493001:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.45/2.17 % (207627)Instruction limit reached!
% 9.45/2.17 % (207627)------------------------------
% 9.45/2.17 % (207627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207627)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207627)Termination reason: Instruction limit
% 9.45/2.17 % (207627)Termination phase: Saturation
% 9.45/2.17 % (207627)Time elapsed: 0.062 s
% 9.45/2.17 % (207627)Peak memory usage: 89 MB
% 9.45/2.17 % (207627)Instructions burned: 127 (million)
% 9.45/2.17 % (207628)Instruction limit reached!
% 9.45/2.17 % (207628)------------------------------
% 9.45/2.17 % (207628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.17 % (207628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.17 % (207628)CaDiCaL version: 2.1.3
% 9.45/2.17 % (207628)Termination reason: Instruction limit
% 9.45/2.17 % (207628)Termination phase: Saturation
% 9.45/2.17 % (207628)Time elapsed: 0.052 s
% 9.45/2.17 % (207628)Peak memory usage: 89 MB
% 9.45/2.17 % (207628)Instructions burned: 115 (million)
% 9.45/2.17 % (207599)First to succeed.
% 9.45/2.17 % (207599)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-207594"
% 9.45/2.17 % (207633)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3951861077:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.45/2.17 % (207634)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2133631569:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.45/2.17 % (207600)Also succeeded, but the first one will report.
% 9.45/2.17 % (207599)Refutation found. Thanks to Tanya!
% 9.45/2.17 % SZS status Theorem for theBenchmark
% 9.45/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 9.81/2.36 % (207599)------------------------------
% 9.81/2.36 % (207599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.81/2.36 % (207599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.81/2.36 % (207599)CaDiCaL version: 2.1.3
% 9.81/2.36 % (207599)Termination reason: Refutation
% 9.81/2.36 % (207599)Time elapsed: 0.875 s
% 9.81/2.36 % (207599)Peak memory usage: 131 MB
% 9.81/2.36 % (207599)Instructions burned: 1337 (million)
% 9.81/2.36 % (207599)------------------------------
% 9.81/2.36 % (207599)------------------------------
% 9.81/2.36 % (207594)Success in time 1.31 s
% 9.81/2.36 % Vampire exiting
%------------------------------------------------------------------------------