%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE090+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 : n018.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 11:40:18 AM UTC 2026
% Result : Theorem 10.21s 2.36s
% Output : Refutation 11.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 84 ( 80 unt; 4 def)
% Number of atoms : 88 ( 87 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 79 ( 77 !; 2 ?)
% 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(f21,conjecture,
! [X0,X1] :
( addition(X0,X1) = X1
=> addition(antidomain(X1),antidomain(X0)) = antidomain(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f22,negated_conjecture,
~ ! [X0,X1] :
( addition(X0,X1) = X1
=> addition(antidomain(X1),antidomain(X0)) = antidomain(X0) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
? [X0,X1] :
( antidomain(X0) != addition(antidomain(X1),antidomain(X0))
& addition(X0,X1) = X1 ),
inference(ennf_transformation,[],[f22]) ).
fof(f24,plain,
( antidomain(sK0) != addition(antidomain(sK1),antidomain(sK0))
& sK1 = addition(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f23]) ).
fof(f25,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f31,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f37,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(f38,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f44,plain,
sK1 = addition(sK0,sK1),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
antidomain(sK0) != addition(antidomain(sK1),antidomain(sK0)),
inference(cnf_transformation,[],[f24]) ).
fof(f46,definition,
sF2 = antidomain(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f47,plain,
antidomain(sK0) = sF2,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF3 = antidomain(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f49,plain,
antidomain(sK1) = sF3,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF4 = addition(sF3,sF2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f51,plain,
addition(sF3,sF2) = sF4,
inference(reorient_equations,[],[f50]) ).
fof(f52,plain,
sF2 != sF4,
inference(definition_folding,[],[f45,f51,f47,f49,f47]) ).
fof(f53,definition,
sF5 = addition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f54,plain,
addition(sK0,sK1) = sF5,
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
sK1 = sF5,
inference(definition_folding,[],[f44,f54]) ).
fof(f56,plain,
sK1 = addition(sK0,sK1),
inference(forward_demodulation,[],[f54,f55]) ).
fof(f62,plain,
zero = multiplication(sF3,sK1),
inference(superposition,[],[f36,f49]) ).
fof(f72,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),addition(antidomain(X0),X1)) = addition(one,X1),
inference(superposition,[],[f26,f38]) ).
fof(f92,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f25,f27]) ).
fof(f100,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f33,f31]) ).
fof(f101,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f33,f36]) ).
fof(f114,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f101,f27]) ).
fof(f135,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f114,f38]) ).
fof(f140,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f135,f31]) ).
fof(f153,plain,
zero = antidomain(one),
inference(superposition,[],[f36,f30]) ).
fof(f172,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f38,f153]) ).
fof(f174,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f172,f27]) ).
fof(f208,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f32,f36]) ).
fof(f214,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f32,f36]) ).
fof(f238,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f214,f27]) ).
fof(f240,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f208,f92]) ).
fof(f251,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f238,f32]) ).
fof(f253,plain,
multiplication(antidomain(sK1),sK1) = multiplication(antidomain(sK1),sK0),
inference(superposition,[],[f238,f56]) ).
fof(f261,plain,
multiplication(sF3,sK1) = multiplication(sF3,sK0),
inference(forward_demodulation,[],[f253,f49]) ).
fof(f268,plain,
zero = multiplication(sF3,sK0),
inference(forward_demodulation,[],[f261,f62]) ).
fof(f288,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f240,f38]) ).
fof(f298,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f288,f30]) ).
fof(f304,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f298,f140]) ).
fof(f309,plain,
sF2 = antidomain(antidomain(sF2)),
inference(superposition,[],[f304,f47]) ).
fof(f402,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,[],[f114,f37]) ).
fof(f409,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f402,f36]) ).
fof(f643,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(one,antidomain(X0)),
inference(superposition,[],[f72,f28]) ).
fof(f660,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f643,f38]) ).
fof(f1181,plain,
one = addition(one,sF3),
inference(superposition,[],[f660,f49]) ).
fof(f1305,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,one)) = multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))),
inference(superposition,[],[f251,f38]) ).
fof(f1347,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),X0),
inference(forward_demodulation,[],[f1305,f30]) ).
fof(f1391,plain,
zero = multiplication(antidomain(zero),multiplication(sF3,antidomain(antidomain(sK0)))),
inference(superposition,[],[f409,f268]) ).
fof(f1440,plain,
zero = multiplication(antidomain(zero),multiplication(sF3,antidomain(sF2))),
inference(forward_demodulation,[],[f1391,f47]) ).
fof(f1462,plain,
zero = multiplication(one,multiplication(sF3,antidomain(sF2))),
inference(forward_demodulation,[],[f1440,f174]) ).
fof(f1470,plain,
zero = multiplication(sF3,antidomain(sF2)),
inference(forward_demodulation,[],[f1462,f31]) ).
fof(f1507,plain,
multiplication(antidomain(zero),multiplication(sF3,antidomain(antidomain(sF2)))) = multiplication(antidomain(zero),sF3),
inference(superposition,[],[f1347,f1470]) ).
fof(f1562,plain,
multiplication(one,multiplication(sF3,antidomain(antidomain(sF2)))) = multiplication(one,sF3),
inference(forward_demodulation,[],[f1507,f174]) ).
fof(f1575,plain,
sF3 = multiplication(one,multiplication(sF3,antidomain(antidomain(sF2)))),
inference(forward_demodulation,[],[f1562,f31]) ).
fof(f1579,plain,
sF3 = multiplication(sF3,antidomain(antidomain(sF2))),
inference(forward_demodulation,[],[f1575,f31]) ).
fof(f1581,plain,
sF3 = multiplication(sF3,sF2),
inference(forward_demodulation,[],[f1579,f309]) ).
fof(f1588,plain,
addition(sF2,sF3) = multiplication(addition(one,sF3),sF2),
inference(superposition,[],[f100,f1581]) ).
fof(f1599,plain,
addition(sF2,sF3) = multiplication(one,sF2),
inference(forward_demodulation,[],[f1588,f1181]) ).
fof(f1604,plain,
sF2 = addition(sF2,sF3),
inference(forward_demodulation,[],[f1599,f31]) ).
fof(f1609,plain,
sF2 = addition(sF3,sF2),
inference(superposition,[],[f25,f1604]) ).
fof(f1617,plain,
sF2 = sF4,
inference(forward_demodulation,[],[f1609,f51]) ).
fof(f1621,plain,
$false,
inference(forward_subsumption_resolution,[],[f1617,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE090+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n018.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 13:11:54 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.21/2.36 % (2338642)Detected formulas, will run a generic FOF schedule.
% 10.21/2.36 % (2338648)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=3898829251:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.21/2.36 % (2338654)dis-21_1_sil=8000:lcm=predicate:random_seed=2012958442:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.21/2.36 % (2338654)Refutation not found, incomplete strategy
% 10.21/2.36 % (2338654)------------------------------
% 10.21/2.36 % (2338654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338654)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338654)Termination reason: Refutation not found, incomplete strategy
% 10.21/2.36 % (2338654)Time elapsed: 0.002 s
% 10.21/2.36 % (2338654)Peak memory usage: 88 MB
% 10.21/2.36 % (2338654)Instructions burned: 1 (million)
% 10.21/2.36 % (2338649)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=3549347095:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.21/2.36 % (2338651)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1846824392:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.21/2.36 % (2338652)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1377671659:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.21/2.36 % (2338650)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=158130338:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.21/2.36 % (2338653)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=252858623:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.21/2.36 % (2338651)Instruction limit reached!
% 10.21/2.36 % (2338651)------------------------------
% 10.21/2.36 % (2338651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338651)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338651)Termination reason: Instruction limit
% 10.21/2.36 % (2338651)Termination phase: Saturation
% 10.21/2.36 % (2338651)Time elapsed: 0.099 s
% 10.21/2.36 % (2338651)Peak memory usage: 89 MB
% 10.21/2.36 % (2338651)Instructions burned: 110 (million)
% 10.21/2.36 % (2338652)Instruction limit reached!
% 10.21/2.36 % (2338652)------------------------------
% 10.21/2.36 % (2338652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338652)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338652)Termination reason: Instruction limit
% 10.21/2.36 % (2338652)Termination phase: Saturation
% 10.21/2.36 % (2338652)Time elapsed: 0.112 s
% 10.21/2.36 % (2338652)Peak memory usage: 89 MB
% 10.21/2.36 % (2338652)Instructions burned: 119 (million)
% 10.21/2.36 % (2338653)Instruction limit reached!
% 10.21/2.36 % (2338653)------------------------------
% 10.21/2.36 % (2338653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338653)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338653)Termination reason: Instruction limit
% 10.21/2.36 % (2338653)Termination phase: Saturation
% 10.21/2.36 % (2338653)Time elapsed: 0.135 s
% 10.21/2.36 % (2338653)Peak memory usage: 90 MB
% 10.21/2.36 % (2338653)Instructions burned: 139 (million)
% 10.21/2.36 % (2338654)------------------------------
% 10.21/2.36 % (2338654)------------------------------
% 10.21/2.36 % (2338666)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=61837004:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.21/2.36 % (2338665)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2070007196:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.21/2.36 % (2338664)lrs+10_1_sil=32000:urr=on:br=off:random_seed=442321756:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.21/2.36 % (2338663)lrs+10_1_sil=8000:sp=occurrence:random_seed=755418716:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 10.21/2.36 % (2338666)Instruction limit reached!
% 10.21/2.36 % (2338666)------------------------------
% 10.21/2.36 % (2338666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338666)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338666)Termination reason: Instruction limit
% 10.21/2.36 % (2338666)Termination phase: Saturation
% 10.21/2.36 % (2338666)Time elapsed: 0.133 s
% 10.21/2.36 % (2338666)Peak memory usage: 91 MB
% 10.21/2.36 % (2338666)Instructions burned: 248 (million)
% 10.21/2.36 % (2338664)Instruction limit reached!
% 10.21/2.36 % (2338664)------------------------------
% 10.21/2.36 % (2338664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338664)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338664)Termination reason: Instruction limit
% 10.21/2.36 % (2338664)Termination phase: Saturation
% 10.21/2.36 % (2338664)Time elapsed: 0.145 s
% 10.21/2.36 % (2338664)Peak memory usage: 89 MB
% 10.21/2.36 % (2338664)Instructions burned: 157 (million)
% 10.21/2.36 % (2338663)Instruction limit reached!
% 10.21/2.36 % (2338663)------------------------------
% 10.21/2.36 % (2338663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338663)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338663)Termination reason: Instruction limit
% 10.21/2.36 % (2338663)Termination phase: Saturation
% 10.21/2.36 % (2338663)Time elapsed: 0.264 s
% 10.21/2.36 % (2338663)Peak memory usage: 91 MB
% 10.21/2.36 % (2338663)Instructions burned: 285 (million)
% 10.21/2.36 % (2338665)Instruction limit reached!
% 10.21/2.36 % (2338665)------------------------------
% 10.21/2.36 % (2338665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338665)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338665)Termination reason: Instruction limit
% 10.21/2.36 % (2338665)Termination phase: Saturation
% 10.21/2.36 % (2338665)Time elapsed: 0.318 s
% 10.21/2.36 % (2338665)Peak memory usage: 92 MB
% 10.21/2.36 % (2338665)Instructions burned: 325 (million)
% 10.21/2.36 % (2338671)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1892425462:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 10.21/2.36 % (2338672)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1470782680:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 10.21/2.36 % (2338673)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1013233937:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 10.21/2.36 % (2338671)Instruction limit reached!
% 10.21/2.36 % (2338671)------------------------------
% 10.21/2.36 % (2338671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338671)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338671)Termination reason: Instruction limit
% 10.21/2.36 % (2338671)Termination phase: Saturation
% 10.21/2.36 % (2338671)Time elapsed: 0.255 s
% 10.21/2.36 % (2338671)Peak memory usage: 91 MB
% 10.21/2.36 % (2338671)Instructions burned: 294 (million)
% 10.21/2.36 % (2338648)First to succeed.
% 10.21/2.36 % (2338648)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2338642"
% 10.21/2.36 % (2338675)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3174382188:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 10.21/2.36 % (2338675)Refutation not found, incomplete strategy
% 10.21/2.36 % (2338675)------------------------------
% 10.21/2.36 % (2338675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338675)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338675)Termination reason: Refutation not found, incomplete strategy
% 10.21/2.36 % (2338675)Time elapsed: 0.002 s
% 10.21/2.36 % (2338675)Peak memory usage: 88 MB
% 10.21/2.36 % (2338673)Instruction limit reached!
% 10.21/2.36 % (2338673)------------------------------
% 10.21/2.36 % (2338673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.36 % (2338673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.36 % (2338673)CaDiCaL version: 2.1.3
% 10.21/2.36 % (2338673)Termination reason: Instruction limit
% 10.21/2.36 % (2338673)Termination phase: Saturation
% 10.21/2.36 % (2338673)Time elapsed: 0.107 s
% 10.21/2.36 % (2338673)Peak memory usage: 90 MB
% 10.21/2.36 % (2338673)Instructions burned: 114 (million)
% 10.21/2.36 % (2338649)Also succeeded, but the first one will report.
% 10.21/2.36 % (2338678)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2503538191:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 10.21/2.36 % (2338648)Refutation found. Thanks to Tanya!
% 10.21/2.36 % SZS status Theorem for theBenchmark
% 10.21/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 11.09/2.59 % (2338648)------------------------------
% 11.09/2.59 % (2338648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.59 % (2338648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.59 % (2338648)CaDiCaL version: 2.1.3
% 11.09/2.59 % (2338648)Termination reason: Refutation
% 11.09/2.59 % (2338648)Time elapsed: 1.064 s
% 11.09/2.59 % (2338648)Peak memory usage: 130 MB
% 11.09/2.59 % (2338648)Instructions burned: 1160 (million)
% 11.09/2.59 % (2338648)------------------------------
% 11.09/2.59 % (2338648)------------------------------
% 11.09/2.59 % (2338642)Success in time 1.495 s
% 11.09/2.59 % Vampire exiting
%------------------------------------------------------------------------------