%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE063+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 : n011.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 11:40:14 AM UTC 2026
% Result : Theorem 2.43s 1.83s
% Output : Refutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 67 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 100 ( 98 !; 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(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(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).
fof(f18,conjecture,
! [X0,X1] :
( addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0)
=> addition(domain(X0),domain(X1)) = domain(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0,X1] :
( addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0)
=> addition(domain(X0),domain(X1)) = domain(X1) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0,X1] :
( domain(X1) != addition(domain(X0),domain(X1))
& addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( domain(sK1) != addition(domain(sK0),domain(sK1))
& multiplication(domain(sK1),sK0) = addition(sK0,multiplication(domain(sK1),sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f22,plain,
multiplication(domain(sK1),sK0) = addition(sK0,multiplication(domain(sK1),sK0)),
inference(cnf_transformation,[],[f21]) ).
fof(f23,plain,
domain(sK1) != addition(domain(sK0),domain(sK1)),
inference(cnf_transformation,[],[f21]) ).
fof(f24,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f26,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
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,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f34,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f39,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
! [X0] : one = addition(one,domain(X0)),
inference(forward_demodulation,[],[f26,f39]) ).
fof(f41,plain,
domain(sK1) != domain(addition(sK0,sK1)),
inference(forward_demodulation,[],[f23,f24]) ).
fof(f46,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f37,f39]) ).
fof(f54,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0)),
inference(superposition,[],[f39,f24]) ).
fof(f64,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f27,f33]) ).
fof(f65,plain,
! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = addition(domain(X2),domain(multiplication(X0,X1))),
inference(superposition,[],[f24,f27]) ).
fof(f69,plain,
! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = domain(addition(X2,multiplication(X0,X1))),
inference(forward_demodulation,[],[f65,f24]) ).
fof(f70,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f64,f33]) ).
fof(f75,plain,
! [X0,X1] : addition(domain(X1),domain(X0)) = domain(addition(X1,domain(X0))),
inference(superposition,[],[f24,f70]) ).
fof(f79,plain,
! [X0,X1] : domain(addition(X1,X0)) = domain(addition(X1,domain(X0))),
inference(forward_demodulation,[],[f75,f24]) ).
fof(f84,plain,
domain(one) = addition(one,domain(one)),
inference(superposition,[],[f28,f34]) ).
fof(f85,plain,
one = domain(one),
inference(forward_demodulation,[],[f84,f40]) ).
fof(f89,plain,
! [X0] : addition(one,domain(X0)) = domain(addition(one,X0)),
inference(superposition,[],[f24,f85]) ).
fof(f91,plain,
! [X0] : one = domain(addition(one,X0)),
inference(forward_demodulation,[],[f89,f40]) ).
fof(f120,plain,
! [X0,X1] : domain(multiplication(X0,one)) = domain(multiplication(X0,addition(one,X1))),
inference(superposition,[],[f27,f91]) ).
fof(f126,plain,
! [X0,X1] : domain(X0) = domain(multiplication(X0,addition(one,X1))),
inference(forward_demodulation,[],[f120,f34]) ).
fof(f135,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f38,f39]) ).
fof(f140,plain,
! [X0,X1] : addition(one,X1) = addition(one,addition(domain(X0),X1)),
inference(superposition,[],[f38,f40]) ).
fof(f150,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f39,f38]) ).
fof(f166,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f31,f33]) ).
fof(f179,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(superposition,[],[f39,f31]) ).
fof(f201,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f307,plain,
! [X0,X1] : domain(addition(X0,X1)) = domain(addition(X1,X0)),
inference(superposition,[],[f24,f54]) ).
fof(f385,plain,
! [X0] : addition(multiplication(domain(sK1),sK0),X0) = addition(multiplication(domain(sK1),sK0),addition(sK0,X0)),
inference(superposition,[],[f135,f22]) ).
fof(f425,plain,
! [X0] : addition(multiplication(domain(sK1),sK0),X0) = addition(sK0,addition(X0,multiplication(domain(sK1),sK0))),
inference(forward_demodulation,[],[f385,f150]) ).
fof(f877,plain,
! [X2,X0,X1] : addition(X2,multiplication(addition(domain(X1),X0),X2)) = multiplication(addition(one,X0),X2),
inference(superposition,[],[f166,f140]) ).
fof(f1442,plain,
! [X0] : addition(multiplication(domain(sK1),sK0),multiplication(X0,sK0)) = addition(sK0,multiplication(addition(domain(sK1),X0),sK0)),
inference(superposition,[],[f425,f179]) ).
fof(f1459,plain,
! [X0] : addition(multiplication(domain(sK1),sK0),multiplication(X0,sK0)) = multiplication(addition(one,X0),sK0),
inference(forward_demodulation,[],[f1442,f877]) ).
fof(f1481,plain,
! [X0] : addition(multiplication(domain(sK1),sK0),multiplication(X0,sK0)) = addition(sK0,multiplication(X0,sK0)),
inference(forward_demodulation,[],[f1459,f166]) ).
fof(f1496,plain,
! [X0] : multiplication(addition(domain(sK1),X0),sK0) = addition(sK0,multiplication(X0,sK0)),
inference(forward_demodulation,[],[f1481,f31]) ).
fof(f1515,plain,
multiplication(domain(sK1),sK0) = addition(sK0,multiplication(zero,sK0)),
inference(superposition,[],[f1496,f37]) ).
fof(f1550,plain,
multiplication(domain(sK1),sK0) = addition(sK0,zero),
inference(forward_demodulation,[],[f1515,f29]) ).
fof(f1568,plain,
multiplication(domain(sK1),sK0) = addition(zero,sK0),
inference(forward_demodulation,[],[f1550,f39]) ).
fof(f1576,plain,
sK0 = multiplication(domain(sK1),sK0),
inference(forward_demodulation,[],[f1568,f46]) ).
fof(f1840,plain,
! [X0,X1] : domain(addition(X0,multiplication(X0,X1))) = domain(multiplication(X0,addition(one,domain(X1)))),
inference(superposition,[],[f69,f201]) ).
fof(f1884,plain,
! [X0,X1] : domain(X0) = domain(addition(X0,multiplication(X0,X1))),
inference(forward_demodulation,[],[f1840,f126]) ).
fof(f7666,plain,
domain(domain(sK1)) = domain(addition(domain(sK1),sK0)),
inference(superposition,[],[f1884,f1576]) ).
fof(f7744,plain,
domain(domain(sK1)) = domain(addition(sK0,domain(sK1))),
inference(forward_demodulation,[],[f7666,f307]) ).
fof(f7785,plain,
domain(addition(sK0,sK1)) = domain(domain(sK1)),
inference(forward_demodulation,[],[f7744,f79]) ).
fof(f7816,plain,
domain(sK1) = domain(addition(sK0,sK1)),
inference(forward_demodulation,[],[f7785,f70]) ).
fof(f7840,plain,
$false,
inference(forward_subsumption_resolution,[],[f7816,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE063+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.58 % Computer : n011.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sun Sep 27 13:08:46 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 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
% 2.43/1.83 % (2390886)Detected formulas, will run a generic FOF schedule.
% 2.43/1.83 % (2390893)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=2300467231:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.43/1.83 % (2390896)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1327444889:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.43/1.83 % (2390891)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=2157315715:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.43/1.83 % (2390895)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=524333586:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.43/1.83 % (2390897)dis-21_1_sil=8000:lcm=predicate:random_seed=3377179069: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)
% 2.43/1.83 % (2390892)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=1222912204:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.43/1.83 % (2390894)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=91057106:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.43/1.83 % (2390897)Refutation not found, incomplete strategy
% 2.43/1.83 % (2390897)------------------------------
% 2.43/1.83 % (2390897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.83 % (2390897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.83 % (2390897)CaDiCaL version: 2.1.3
% 2.43/1.83 % (2390897)Termination reason: Refutation not found, incomplete strategy
% 2.43/1.83 % (2390897)Time elapsed: 0.001 s
% 2.43/1.83 % (2390897)Peak memory usage: 88 MB
% 2.43/1.83 % (2390897)Instructions burned: 1 (million)
% 2.43/1.83 % (2390895)Instruction limit reached!
% 2.43/1.83 % (2390895)------------------------------
% 2.43/1.83 % (2390895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.83 % (2390895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.83 % (2390895)CaDiCaL version: 2.1.3
% 2.43/1.83 % (2390895)Termination reason: Instruction limit
% 2.43/1.83 % (2390895)Termination phase: Saturation
% 2.43/1.83 % (2390895)Time elapsed: 0.066 s
% 2.43/1.83 % (2390895)Peak memory usage: 89 MB
% 2.43/1.83 % (2390895)Instructions burned: 119 (million)
% 2.43/1.83 % (2390894)Instruction limit reached!
% 2.43/1.83 % (2390894)------------------------------
% 2.43/1.83 % (2390894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.83 % (2390894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.83 % (2390894)CaDiCaL version: 2.1.3
% 2.43/1.83 % (2390894)Termination reason: Instruction limit
% 2.43/1.83 % (2390894)Termination phase: Saturation
% 2.43/1.83 % (2390894)Time elapsed: 0.067 s
% 2.43/1.83 % (2390894)Peak memory usage: 89 MB
% 2.43/1.83 % (2390894)Instructions burned: 109 (million)
% 2.43/1.83 % (2390896)Instruction limit reached!
% 2.43/1.83 % (2390896)------------------------------
% 2.43/1.83 % (2390896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.83 % (2390896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.83 % (2390896)CaDiCaL version: 2.1.3
% 2.43/1.83 % (2390896)Termination reason: Instruction limit
% 2.43/1.83 % (2390896)Termination phase: Saturation
% 2.43/1.83 % (2390896)Time elapsed: 0.081 s
% 2.43/1.83 % (2390896)Peak memory usage: 89 MB
% 2.43/1.83 % (2390896)Instructions burned: 140 (million)
% 2.43/1.83 % (2390905)lrs+10_1_sil=8000:sp=occurrence:random_seed=2595005424:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.43/1.83 % (2390906)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1351994151:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.43/1.83 % (2390907)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4069124255:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.43/1.83 % (2390897)------------------------------
% 2.43/1.83 % (2390897)------------------------------
% 2.43/1.83 % (2390906)Instruction limit reached!
% 2.43/1.83 % (2390906)------------------------------
% 2.43/1.83 % (2390906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.83 % (2390906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.83 % (2390906)CaDiCaL version: 2.1.3
% 2.43/1.83 % (2390906)Termination reason: Instruction limit
% 2.43/1.83 % (2390906)Termination phase: Saturation
% 2.43/1.83 % (2390906)Time elapsed: 0.095 s
% 2.43/1.83 % (2390906)Peak memory usage: 90 MB
% 2.43/1.83 % (2390906)Instructions burned: 157 (million)
% 2.43/1.83 % (2390905)Instruction limit reached!
% 2.43/1.83 % (2390905)------------------------------
% 2.43/1.83 % (2390905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.83 % (2390905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.83 % (2390905)CaDiCaL version: 2.1.3
% 2.43/1.83 % (2390905)Termination reason: Instruction limit
% 2.43/1.83 % (2390905)Termination phase: Saturation
% 2.43/1.83 % (2390905)Time elapsed: 0.172 s
% 2.43/1.83 % (2390905)Peak memory usage: 91 MB
% 2.43/1.83 % (2390905)Instructions burned: 285 (million)
% 2.43/1.83 % (2390907)First to succeed.
% 2.43/1.83 % (2390907)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2390886"
% 2.43/1.83 % (2390911)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=2028079721:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 2.43/1.83 % (2390912)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1581276987:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 2.43/1.83 % (2390913)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1822272662:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 2.43/1.83 % (2390911)Instruction limit reached!
% 2.43/1.83 % (2390911)------------------------------
% 2.43/1.83 % (2390911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.83 % (2390911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.83 % (2390911)CaDiCaL version: 2.1.3
% 2.43/1.83 % (2390911)Termination reason: Instruction limit
% 2.43/1.83 % (2390911)Termination phase: Saturation
% 2.43/1.83 % (2390911)Time elapsed: 0.152 s
% 2.43/1.83 % (2390911)Peak memory usage: 91 MB
% 2.43/1.83 % (2390911)Instructions burned: 248 (million)
% 2.43/1.83 % (2390912)Instruction limit reached!
% 2.43/1.83 % (2390912)------------------------------
% 2.43/1.83 % (2390912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.83 % (2390912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.83 % (2390912)CaDiCaL version: 2.1.3
% 2.43/1.83 % (2390912)Termination reason: Instruction limit
% 2.43/1.83 % (2390912)Termination phase: Saturation
% 2.43/1.83 % (2390912)Time elapsed: 0.174 s
% 2.43/1.83 % (2390912)Peak memory usage: 92 MB
% 2.43/1.83 % (2390912)Instructions burned: 295 (million)
% 2.43/1.83 % (2390907)Refutation found. Thanks to Tanya!
% 2.43/1.83 % SZS status Theorem for theBenchmark
% 2.43/1.83 % SZS output start Proof for theBenchmark
% See solution above
% 5.95/1.92 % (2390907)------------------------------
% 5.95/1.92 % (2390907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.92 % (2390907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.92 % (2390907)CaDiCaL version: 2.1.3
% 5.95/1.92 % (2390907)Termination reason: Refutation
% 5.95/1.92 % (2390907)Time elapsed: 0.162 s
% 5.95/1.92 % (2390907)Peak memory usage: 92 MB
% 5.95/1.92 % (2390907)Instructions burned: 266 (million)
% 5.95/1.92 % (2390907)------------------------------
% 5.95/1.92 % (2390907)------------------------------
% 5.95/1.92 % (2390886)Success in time 0.769 s
% 5.95/1.92 % Vampire exiting
%------------------------------------------------------------------------------