%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE117+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 : n010.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 11:40:23 AM UTC 2026
% Result : Theorem 13.71s 3.24s
% Output : Refutation 15.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 26
% Syntax : Number of formulae : 107 ( 103 unt; 12 def)
% Number of atoms : 111 ( 110 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 81 ( 78 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
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(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f27,conjecture,
! [X0,X1] :
( addition(X0,X1) = X1
=> ! [X2] : addition(forward_diamond(X0,domain(X2)),forward_diamond(X1,domain(X2))) = forward_diamond(X1,domain(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1] :
( addition(X0,X1) = X1
=> ! [X2] : addition(forward_diamond(X0,domain(X2)),forward_diamond(X1,domain(X2))) = forward_diamond(X1,domain(X2)) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1] :
( ? [X2] : forward_diamond(X1,domain(X2)) != addition(forward_diamond(X0,domain(X2)),forward_diamond(X1,domain(X2)))
& addition(X0,X1) = X1 ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( forward_diamond(sK1,domain(sK2)) != addition(forward_diamond(sK0,domain(sK2)),forward_diamond(sK1,domain(sK2)))
& sK1 = addition(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f43,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f14]) ).
fof(f44,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f45,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f52,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f56,plain,
sK1 = addition(sK0,sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
forward_diamond(sK1,domain(sK2)) != addition(forward_diamond(sK0,domain(sK2)),forward_diamond(sK1,domain(sK2))),
inference(cnf_transformation,[],[f30]) ).
fof(f62,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f52,f45,f45]) ).
fof(f64,plain,
antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK2))))))) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK2))))))),antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK2)))))))),
inference(definition_unfolding,[],[f57,f62,f45,f62,f45,f62,f45]) ).
fof(f65,definition,
sF3 = antidomain(sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f66,plain,
antidomain(sK2) = sF3,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF4 = antidomain(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f68,plain,
antidomain(sF3) = sF4,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF5 = antidomain(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f70,plain,
antidomain(sF4) = sF5,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF6 = antidomain(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f72,plain,
antidomain(sF5) = sF6,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF7 = multiplication(sK1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f74,plain,
multiplication(sK1,sF6) = sF7,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF8 = antidomain(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f76,plain,
antidomain(sF7) = sF8,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF9 = antidomain(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f78,plain,
antidomain(sF8) = sF9,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF10 = multiplication(sK0,sF6),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f80,plain,
multiplication(sK0,sF6) = sF10,
inference(reorient_equations,[],[f79]) ).
fof(f81,definition,
sF11 = antidomain(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f82,plain,
antidomain(sF10) = sF11,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF12 = antidomain(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f84,plain,
antidomain(sF11) = sF12,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF13 = addition(sF12,sF9),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f86,plain,
addition(sF12,sF9) = sF13,
inference(reorient_equations,[],[f85]) ).
fof(f87,plain,
sF9 != sF13,
inference(definition_folding,[],[f64,f86,f78,f76,f74,f72,f70,f68,f66,f84,f82,f80,f72,f70,f68,f66,f78,f76,f74,f72,f70,f68,f66]) ).
fof(f88,definition,
sF14 = addition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f89,plain,
addition(sK0,sK1) = sF14,
inference(reorient_equations,[],[f88]) ).
fof(f90,plain,
sK1 = sF14,
inference(definition_folding,[],[f56,f89]) ).
fof(f91,plain,
sF13 = addition(sF9,sF12),
inference(forward_demodulation,[],[f86,f31]) ).
fof(f92,plain,
sK1 = addition(sK0,sK1),
inference(forward_demodulation,[],[f89,f90]) ).
fof(f93,plain,
sK1 = addition(sK1,sK0),
inference(forward_demodulation,[],[f92,f31]) ).
fof(f98,plain,
one = addition(antidomain(sF8),sF8),
inference(superposition,[],[f44,f76]) ).
fof(f105,plain,
one = addition(sF8,antidomain(sF8)),
inference(forward_demodulation,[],[f98,f31]) ).
fof(f111,plain,
one = addition(sF8,sF9),
inference(forward_demodulation,[],[f105,f78]) ).
fof(f115,plain,
one = addition(sF9,sF8),
inference(forward_demodulation,[],[f111,f31]) ).
fof(f121,plain,
zero = multiplication(sF8,sF7),
inference(superposition,[],[f42,f76]) ).
fof(f128,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f44,f31]) ).
fof(f129,plain,
! [X0] : multiplication(addition(sK1,X0),sF6) = addition(sF7,multiplication(X0,sF6)),
inference(superposition,[],[f39,f74]) ).
fof(f134,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f39,f42]) ).
fof(f139,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f134,f33]) ).
fof(f151,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f38,f42]) ).
fof(f162,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f151,f33]) ).
fof(f175,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(superposition,[],[f162,f31]) ).
fof(f199,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f139,f44]) ).
fof(f207,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f199,f37]) ).
fof(f211,plain,
zero = antidomain(one),
inference(superposition,[],[f42,f36]) ).
fof(f213,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f38,f36]) ).
fof(f297,plain,
one = antidomain(antidomain(one)),
inference(superposition,[],[f36,f207]) ).
fof(f298,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f297,f211]) ).
fof(f347,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f565,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(antidomain(X1)))),
inference(superposition,[],[f139,f43]) ).
fof(f571,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f565,f42]) ).
fof(f721,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f347,f128]) ).
fof(f740,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f721,f31]) ).
fof(f757,plain,
one = addition(one,sF12),
inference(superposition,[],[f740,f84]) ).
fof(f2105,plain,
multiplication(addition(sK1,sK0),sF6) = addition(sF7,sF10),
inference(superposition,[],[f129,f80]) ).
fof(f2139,plain,
multiplication(sK1,sF6) = addition(sF7,sF10),
inference(forward_demodulation,[],[f2105,f93]) ).
fof(f2151,plain,
sF7 = addition(sF7,sF10),
inference(forward_demodulation,[],[f2139,f74]) ).
fof(f2156,plain,
multiplication(antidomain(sF7),sF7) = multiplication(antidomain(sF7),sF10),
inference(superposition,[],[f175,f2151]) ).
fof(f2161,plain,
multiplication(sF8,sF7) = multiplication(sF8,sF10),
inference(forward_demodulation,[],[f2156,f76]) ).
fof(f2163,plain,
zero = multiplication(sF8,sF10),
inference(forward_demodulation,[],[f2161,f121]) ).
fof(f2176,plain,
zero = multiplication(antidomain(zero),multiplication(sF8,antidomain(antidomain(sF10)))),
inference(superposition,[],[f571,f2163]) ).
fof(f2180,plain,
zero = multiplication(antidomain(zero),multiplication(sF8,antidomain(sF11))),
inference(forward_demodulation,[],[f2176,f82]) ).
fof(f2192,plain,
zero = multiplication(antidomain(zero),multiplication(sF8,sF12)),
inference(forward_demodulation,[],[f2180,f84]) ).
fof(f2197,plain,
zero = multiplication(one,multiplication(sF8,sF12)),
inference(forward_demodulation,[],[f2192,f298]) ).
fof(f2201,plain,
zero = multiplication(sF8,sF12),
inference(forward_demodulation,[],[f2197,f37]) ).
fof(f2207,plain,
! [X0] : multiplication(addition(X0,sF8),sF12) = addition(multiplication(X0,sF12),zero),
inference(superposition,[],[f39,f2201]) ).
fof(f2227,plain,
! [X0] : multiplication(X0,sF12) = multiplication(addition(X0,sF8),sF12),
inference(forward_demodulation,[],[f2207,f33]) ).
fof(f2451,plain,
multiplication(one,sF12) = multiplication(sF9,sF12),
inference(superposition,[],[f2227,f115]) ).
fof(f2483,plain,
sF12 = multiplication(sF9,sF12),
inference(forward_demodulation,[],[f2451,f37]) ).
fof(f2505,plain,
addition(sF9,sF12) = multiplication(sF9,addition(one,sF12)),
inference(superposition,[],[f213,f2483]) ).
fof(f2515,plain,
addition(sF9,sF12) = multiplication(sF9,one),
inference(forward_demodulation,[],[f2505,f757]) ).
fof(f2523,plain,
sF9 = addition(sF9,sF12),
inference(forward_demodulation,[],[f2515,f36]) ).
fof(f2568,plain,
sF9 = sF13,
inference(superposition,[],[f91,f2523]) ).
fof(f2576,plain,
$false,
inference(forward_subsumption_resolution,[],[f2568,f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE117+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n010.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 13:11:16 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 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
% 13.71/3.24 % (954439)Detected formulas, will run a generic FOF schedule.
% 13.71/3.24 % (954448)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1372919003:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.71/3.24 % (954444)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=3978656114:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.71/3.24 % (954448)Instruction limit reached!
% 13.71/3.24 % (954448)------------------------------
% 13.71/3.24 % (954448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954448)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954448)Termination reason: Instruction limit
% 13.71/3.24 % (954448)Termination phase: Saturation
% 13.71/3.24 % (954448)Time elapsed: 0.058 s
% 13.71/3.24 % (954448)Peak memory usage: 88 MB
% 13.71/3.24 % (954448)Instructions burned: 121 (million)
% 13.71/3.24 % (954446)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=930563711:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.71/3.24 % (954445)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=587523357:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.71/3.24 % (954447)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2811344301:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.71/3.24 % (954450)dis-21_1_sil=8000:lcm=predicate:random_seed=3123138563: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)
% 13.71/3.24 % (954449)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2906657798:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.71/3.24 % (954450)Refutation not found, incomplete strategy
% 13.71/3.24 % (954450)------------------------------
% 13.71/3.24 % (954450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954450)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954450)Termination reason: Refutation not found, incomplete strategy
% 13.71/3.24 % (954450)Time elapsed: 0.003 s
% 13.71/3.24 % (954450)Peak memory usage: 88 MB
% 13.71/3.24 % (954450)Instructions burned: 1 (million)
% 13.71/3.24 % (954447)Instruction limit reached!
% 13.71/3.24 % (954447)------------------------------
% 13.71/3.24 % (954447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954447)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954447)Termination reason: Instruction limit
% 13.71/3.24 % (954447)Termination phase: Saturation
% 13.71/3.24 % (954447)Time elapsed: 0.110 s
% 13.71/3.24 % (954447)Peak memory usage: 89 MB
% 13.71/3.24 % (954447)Instructions burned: 110 (million)
% 13.71/3.24 % (954449)Instruction limit reached!
% 13.71/3.24 % (954449)------------------------------
% 13.71/3.24 % (954449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954449)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954449)Termination reason: Instruction limit
% 13.71/3.24 % (954449)Termination phase: Saturation
% 13.71/3.24 % (954449)Time elapsed: 0.133 s
% 13.71/3.24 % (954449)Peak memory usage: 89 MB
% 13.71/3.24 % (954449)Instructions burned: 140 (million)
% 13.71/3.24 % (954454)lrs+10_1_sil=8000:sp=occurrence:random_seed=3244715969:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.71/3.24 % (954450)------------------------------
% 13.71/3.24 % (954450)------------------------------
% 13.71/3.24 % (954461)lrs+10_1_sil=32000:urr=on:br=off:random_seed=651512367:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.71/3.24 % (954462)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3489533748:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.71/3.24 % (954454)Instruction limit reached!
% 13.71/3.24 % (954454)------------------------------
% 13.71/3.24 % (954454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954454)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954454)Termination reason: Instruction limit
% 13.71/3.24 % (954454)Termination phase: Saturation
% 13.71/3.24 % (954454)Time elapsed: 0.185 s
% 13.71/3.24 % (954454)Peak memory usage: 92 MB
% 13.71/3.24 % (954454)Instructions burned: 285 (million)
% 13.71/3.24 % (954461)Instruction limit reached!
% 13.71/3.24 % (954461)------------------------------
% 13.71/3.24 % (954461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954461)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954461)Termination reason: Instruction limit
% 13.71/3.24 % (954461)Termination phase: Saturation
% 13.71/3.24 % (954461)Time elapsed: 0.147 s
% 13.71/3.24 % (954461)Peak memory usage: 89 MB
% 13.71/3.24 % (954461)Instructions burned: 157 (million)
% 13.71/3.24 % (954464)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=678677694:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 13.71/3.24 % (954467)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3466698042:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 13.71/3.24 % (954462)Instruction limit reached!
% 13.71/3.24 % (954462)------------------------------
% 13.71/3.24 % (954462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954462)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954462)Termination reason: Instruction limit
% 13.71/3.24 % (954462)Termination phase: Saturation
% 13.71/3.24 % (954462)Time elapsed: 0.309 s
% 13.71/3.24 % (954462)Peak memory usage: 92 MB
% 13.71/3.24 % (954462)Instructions burned: 326 (million)
% 13.71/3.24 % (954468)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2639053713:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 13.71/3.24 % (954464)Instruction limit reached!
% 13.71/3.24 % (954464)------------------------------
% 13.71/3.24 % (954464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954464)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954464)Termination reason: Instruction limit
% 13.71/3.24 % (954464)Termination phase: Saturation
% 13.71/3.24 % (954464)Time elapsed: 0.237 s
% 13.71/3.24 % (954464)Peak memory usage: 91 MB
% 13.71/3.24 % (954464)Instructions burned: 248 (million)
% 13.71/3.24 % (954467)Instruction limit reached!
% 13.71/3.24 % (954467)------------------------------
% 13.71/3.24 % (954467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954467)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954467)Termination reason: Instruction limit
% 13.71/3.24 % (954467)Termination phase: Saturation
% 13.71/3.24 % (954467)Time elapsed: 0.262 s
% 13.71/3.24 % (954467)Peak memory usage: 89 MB
% 13.71/3.24 % (954467)Instructions burned: 294 (million)
% 13.71/3.24 % (954471)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4067494923:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 13.71/3.24 % (954471)Instruction limit reached!
% 13.71/3.24 % (954471)------------------------------
% 13.71/3.24 % (954471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954471)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954471)Termination reason: Instruction limit
% 13.71/3.24 % (954471)Termination phase: Saturation
% 13.71/3.24 % (954471)Time elapsed: 0.113 s
% 13.71/3.24 % (954471)Peak memory usage: 90 MB
% 13.71/3.24 % (954471)Instructions burned: 113 (million)
% 13.71/3.24 % (954473)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3030282774:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 13.71/3.24 % (954473)Refutation not found, incomplete strategy
% 13.71/3.24 % (954473)------------------------------
% 13.71/3.24 % (954473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954473)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954473)Termination reason: Refutation not found, incomplete strategy
% 13.71/3.24 % (954473)Time elapsed: 0.002 s
% 13.71/3.24 % (954473)Peak memory usage: 88 MB
% 13.71/3.24 % (954473)Instructions burned: 1 (million)
% 13.71/3.24 % (954474)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=535179263:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 13.71/3.24 % (954474)Instruction limit reached!
% 13.71/3.24 % (954474)------------------------------
% 13.71/3.24 % (954474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.24 % (954474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.24 % (954474)CaDiCaL version: 2.1.3
% 13.71/3.24 % (954474)Termination reason: Instruction limit
% 13.71/3.24 % (954474)Termination phase: Saturation
% 13.71/3.24 % (954474)Time elapsed: 0.067 s
% 13.71/3.24 % (954474)Peak memory usage: 88 MB
% 13.71/3.24 % (954474)Instructions burned: 116 (million)
% 13.71/3.24 % (954477)lrs+10_1_sil=8000:sp=occurrence:random_seed=2526534566:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 13.71/3.24 % (954468)First to succeed.
% 13.71/3.24 % (954468)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-954439"
% 13.71/3.24 % (954479)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1775311494:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 13.71/3.24 % (954473)------------------------------
% 13.71/3.24 % (954473)------------------------------
% 13.71/3.24 % (954444)Also succeeded, but the first one will report.
% 13.71/3.24 % (954468)Refutation found. Thanks to Tanya!
% 13.71/3.24 % SZS status Theorem for theBenchmark
% 13.71/3.24 % SZS output start Proof for theBenchmark
% See solution above
% 15.47/3.44 % (954468)------------------------------
% 15.47/3.44 % (954468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.47/3.44 % (954468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.47/3.44 % (954468)CaDiCaL version: 2.1.3
% 15.47/3.44 % (954468)Termination reason: Refutation
% 15.47/3.44 % (954468)Time elapsed: 0.727 s
% 15.47/3.44 % (954468)Peak memory usage: 132 MB
% 15.47/3.44 % (954468)Instructions burned: 1271 (million)
% 15.47/3.44 % (954468)------------------------------
% 15.47/3.44 % (954468)------------------------------
% 15.47/3.44 % (954439)Success in time 2.083 s
% 15.47/3.44 % Vampire exiting
%------------------------------------------------------------------------------