%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE013+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 : n005.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 11:40:03 AM UTC 2026
% Result : Theorem 6.07s 1.92s
% Output : Refutation 9.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 75 ( 59 unt; 5 def)
% Number of atoms : 116 ( 80 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 65 ( 24 ~; 18 |; 17 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 77 ( 73 !; 4 ?)
% 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(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(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] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(X0,X1),multiplication(c(X0),c(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(X0,X1),multiplication(c(X0),c(X1))) ),
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] :
( one != addition(addition(X0,X1),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1] :
( one != addition(addition(X0,X1),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
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,
( one != addition(addition(sK1,sK2),multiplication(c(sK1),c(sK2)))
& test(sK2)
& test(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f22]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
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(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
test(sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
test(sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
one != addition(addition(sK1,sK2),multiplication(c(sK1),c(sK2))),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f54,definition,
sF3 = addition(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f55,plain,
addition(sK1,sK2) = sF3,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF4 = c(sK1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f57,plain,
c(sK1) = sF4,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF5 = c(sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f59,plain,
c(sK2) = sF5,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF6 = multiplication(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f61,plain,
multiplication(sF4,sF5) = sF6,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF7 = addition(sF3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f63,plain,
addition(sF3,sF6) = sF7,
inference(reorient_equations,[],[f62]) ).
fof(f64,plain,
one != sF7,
inference(definition_folding,[],[f52,f63,f61,f59,f57,f55]) ).
fof(f66,plain,
( complement(sK1,sF4)
| ~ test(sK1) ),
inference(superposition,[],[f53,f57]) ).
fof(f67,plain,
complement(sK1,sF4),
inference(forward_subsumption_resolution,[],[f66,f50]) ).
fof(f68,plain,
( complement(sK2,sF5)
| ~ test(sK2) ),
inference(superposition,[],[f53,f59]) ).
fof(f69,plain,
complement(sK2,sF5),
inference(forward_subsumption_resolution,[],[f68,f51]) ).
fof(f84,plain,
! [X0] : addition(sK1,addition(sK2,X0)) = addition(sF3,X0),
inference(superposition,[],[f31,f55]) ).
fof(f95,plain,
! [X0] : addition(sF3,X0) = addition(sK1,addition(X0,sK2)),
inference(superposition,[],[f84,f30]) ).
fof(f99,plain,
one = addition(sF4,sK1),
inference(resolution,[],[f67,f43]) ).
fof(f100,plain,
! [X0] : addition(sF4,addition(sK1,X0)) = addition(one,X0),
inference(superposition,[],[f31,f99]) ).
fof(f101,plain,
one = addition(sF5,sK2),
inference(resolution,[],[f69,f43]) ).
fof(f109,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f31,f37]) ).
fof(f121,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f128,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f37,f35]) ).
fof(f176,plain,
one = addition(sF4,one),
inference(superposition,[],[f121,f99]) ).
fof(f466,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f109,f38]) ).
fof(f555,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,one),multiplication(X1,sK2)),
inference(superposition,[],[f466,f101]) ).
fof(f648,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f555,f35]) ).
fof(f855,plain,
! [X0] : addition(X0,multiplication(X0,sK2)) = addition(multiplication(X0,sF5),multiplication(X0,sK2)),
inference(superposition,[],[f648,f33]) ).
fof(f879,plain,
addition(multiplication(sF4,sF5),multiplication(one,sK2)) = addition(sF4,multiplication(one,sK2)),
inference(superposition,[],[f648,f176]) ).
fof(f909,plain,
addition(sF4,sK2) = addition(multiplication(sF4,sF5),sK2),
inference(forward_demodulation,[],[f879,f36]) ).
fof(f928,plain,
! [X0] : multiplication(X0,addition(sF5,sK2)) = addition(X0,multiplication(X0,sK2)),
inference(forward_demodulation,[],[f855,f37]) ).
fof(f939,plain,
addition(sF4,sK2) = addition(sF6,sK2),
inference(forward_demodulation,[],[f909,f61]) ).
fof(f954,plain,
! [X0] : multiplication(X0,addition(sF5,sK2)) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f928,f128]) ).
fof(f972,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f954,f101]) ).
fof(f982,plain,
! [X0] : multiplication(X0,addition(one,sK2)) = X0,
inference(forward_demodulation,[],[f972,f35]) ).
fof(f1037,plain,
addition(sF3,sF6) = addition(sK1,addition(sF4,sK2)),
inference(superposition,[],[f95,f939]) ).
fof(f1046,plain,
addition(sF3,sF6) = addition(sF3,sF4),
inference(forward_demodulation,[],[f1037,f95]) ).
fof(f1048,plain,
sF7 = addition(sF3,sF4),
inference(forward_demodulation,[],[f1046,f63]) ).
fof(f1074,plain,
one = addition(one,sK2),
inference(superposition,[],[f36,f982]) ).
fof(f3239,plain,
addition(one,sK2) = addition(sF4,sF3),
inference(superposition,[],[f100,f55]) ).
fof(f3283,plain,
one = addition(sF4,sF3),
inference(forward_demodulation,[],[f3239,f1074]) ).
fof(f3305,plain,
one = addition(sF3,sF4),
inference(superposition,[],[f30,f3283]) ).
fof(f3319,plain,
one = sF7,
inference(forward_demodulation,[],[f3305,f1048]) ).
fof(f3327,plain,
$false,
inference(forward_subsumption_resolution,[],[f3319,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE013+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 12:58:32 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 6.07/1.92 % (3971183)Detected formulas, will run a generic FOF schedule.
% 6.07/1.92 % (3971194)dis-21_1_sil=8000:lcm=predicate:random_seed=2491532022: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)
% 6.07/1.92 % (3971193)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=732080334:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.07/1.92 % (3971188)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=392384480:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.07/1.92 % (3971189)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=769133266:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.07/1.92 % (3971190)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=484040592:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.07/1.92 % (3971191)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3907207755:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.07/1.92 % (3971192)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2725915686:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.07/1.92 % (3971191)Refutation not found, incomplete strategy
% 6.07/1.92 % (3971191)------------------------------
% 6.07/1.92 % (3971191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971191)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971191)Termination reason: Refutation not found, incomplete strategy
% 6.07/1.92 % (3971191)Time elapsed: 0.001 s
% 6.07/1.92 % (3971191)Peak memory usage: 88 MB
% 6.07/1.92 % (3971194)Refutation not found, incomplete strategy
% 6.07/1.92 % (3971194)------------------------------
% 6.07/1.92 % (3971194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971194)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971194)Termination reason: Refutation not found, incomplete strategy
% 6.07/1.92 % (3971194)Time elapsed: 0.002 s
% 6.07/1.92 % (3971194)Peak memory usage: 88 MB
% 6.07/1.92 % (3971194)Instructions burned: 2 (million)
% 6.07/1.92 % (3971192)Instruction limit reached!
% 6.07/1.92 % (3971192)------------------------------
% 6.07/1.92 % (3971192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971192)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971192)Termination reason: Instruction limit
% 6.07/1.92 % (3971192)Termination phase: Saturation
% 6.07/1.92 % (3971192)Time elapsed: 0.067 s
% 6.07/1.92 % (3971192)Peak memory usage: 89 MB
% 6.07/1.92 % (3971192)Instructions burned: 119 (million)
% 6.07/1.92 % (3971193)Instruction limit reached!
% 6.07/1.92 % (3971193)------------------------------
% 6.07/1.92 % (3971193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971193)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971193)Termination reason: Instruction limit
% 6.07/1.92 % (3971193)Termination phase: Saturation
% 6.07/1.92 % (3971193)Time elapsed: 0.078 s
% 6.07/1.92 % (3971193)Peak memory usage: 90 MB
% 6.07/1.92 % (3971193)Instructions burned: 139 (million)
% 6.07/1.92 % (3971203)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2158251240:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.07/1.92 % (3971202)lrs+10_1_sil=8000:sp=occurrence:random_seed=4248215801:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.07/1.92 % (3971203)Instruction limit reached!
% 6.07/1.92 % (3971203)------------------------------
% 6.07/1.92 % (3971203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971203)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971203)Termination reason: Instruction limit
% 6.07/1.92 % (3971203)Termination phase: Saturation
% 6.07/1.92 % (3971203)Time elapsed: 0.052 s
% 6.07/1.92 % (3971203)Peak memory usage: 90 MB
% 6.07/1.92 % (3971203)Instructions burned: 159 (million)
% 6.07/1.92 % (3971194)------------------------------
% 6.07/1.92 % (3971194)------------------------------
% 6.07/1.92 % (3971191)------------------------------
% 6.07/1.92 % (3971191)------------------------------
% 6.07/1.92 % (3971206)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2357036681:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.07/1.92 % (3971202)Instruction limit reached!
% 6.07/1.92 % (3971202)------------------------------
% 6.07/1.92 % (3971202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971202)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971202)Termination reason: Instruction limit
% 6.07/1.92 % (3971202)Termination phase: Saturation
% 6.07/1.92 % (3971202)Time elapsed: 0.174 s
% 6.07/1.92 % (3971202)Peak memory usage: 91 MB
% 6.07/1.92 % (3971202)Instructions burned: 286 (million)
% 6.07/1.92 % (3971207)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=967387889:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.07/1.92 % (3971208)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3989733436:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.07/1.92 % (3971206)Instruction limit reached!
% 6.07/1.92 % (3971206)------------------------------
% 6.07/1.92 % (3971206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971206)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971206)Termination reason: Instruction limit
% 6.07/1.92 % (3971206)Termination phase: Saturation
% 6.07/1.92 % (3971206)Time elapsed: 0.102 s
% 6.07/1.92 % (3971206)Peak memory usage: 91 MB
% 6.07/1.92 % (3971206)Instructions burned: 328 (million)
% 6.07/1.92 % (3971213)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3688284529:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.07/1.92 % (3971210)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2369729119:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.07/1.92 % (3971213)Instruction limit reached!
% 6.07/1.92 % (3971213)------------------------------
% 6.07/1.92 % (3971213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971213)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971213)Termination reason: Instruction limit
% 6.07/1.92 % (3971213)Termination phase: Saturation
% 6.07/1.92 % (3971213)Time elapsed: 0.044 s
% 6.07/1.92 % (3971213)Peak memory usage: 90 MB
% 6.07/1.92 % (3971213)Instructions burned: 115 (million)
% 6.07/1.92 % (3971207)Instruction limit reached!
% 6.07/1.92 % (3971207)------------------------------
% 6.07/1.92 % (3971207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971207)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971207)Termination reason: Instruction limit
% 6.07/1.92 % (3971207)Termination phase: Saturation
% 6.07/1.92 % (3971207)Time elapsed: 0.154 s
% 6.07/1.92 % (3971207)Peak memory usage: 91 MB
% 6.07/1.92 % (3971207)Instructions burned: 250 (million)
% 6.07/1.92 % (3971208)Instruction limit reached!
% 6.07/1.92 % (3971208)------------------------------
% 6.07/1.92 % (3971208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971208)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971208)Termination reason: Instruction limit
% 6.07/1.92 % (3971208)Termination phase: Saturation
% 6.07/1.92 % (3971208)Time elapsed: 0.170 s
% 6.07/1.92 % (3971208)Peak memory usage: 89 MB
% 6.07/1.92 % (3971208)Instructions burned: 294 (million)
% 6.07/1.92 % (3971216)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2614351586:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.07/1.92 % (3971216)Instruction limit reached!
% 6.07/1.92 % (3971216)------------------------------
% 6.07/1.92 % (3971216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971216)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971216)Termination reason: Instruction limit
% 6.07/1.92 % (3971216)Termination phase: Saturation
% 6.07/1.92 % (3971216)Time elapsed: 0.035 s
% 6.07/1.92 % (3971216)Peak memory usage: 89 MB
% 6.07/1.92 % (3971216)Instructions burned: 129 (million)
% 6.07/1.92 % (3971217)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1162660446:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.07/1.92 % (3971218)lrs+10_1_sil=8000:sp=occurrence:random_seed=1236163144:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.07/1.92 % (3971217)Instruction limit reached!
% 6.07/1.92 % (3971217)------------------------------
% 6.07/1.92 % (3971217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971217)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971217)Termination reason: Instruction limit
% 6.07/1.92 % (3971217)Termination phase: Saturation
% 6.07/1.92 % (3971217)Time elapsed: 0.055 s
% 6.07/1.92 % (3971217)Peak memory usage: 89 MB
% 6.07/1.92 % (3971217)Instructions burned: 114 (million)
% 6.07/1.92 % (3971220)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2674859488:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.07/1.92 % (3971223)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2278278645:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.07/1.92 % (3971220)Instruction limit reached!
% 6.07/1.92 % (3971220)------------------------------
% 6.07/1.92 % (3971220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971220)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971220)Termination reason: Instruction limit
% 6.07/1.92 % (3971220)Termination phase: Saturation
% 6.07/1.92 % (3971220)Time elapsed: 0.103 s
% 6.07/1.92 % (3971220)Peak memory usage: 91 MB
% 6.07/1.92 % (3971220)Instructions burned: 439 (million)
% 6.07/1.92 % (3971188)First to succeed.
% 6.07/1.92 % (3971188)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3971183"
% 6.07/1.92 % (3971226)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4238212707:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.07/1.92 % (3971226)Instruction limit reached!
% 6.07/1.92 % (3971226)------------------------------
% 6.07/1.92 % (3971226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (3971226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (3971226)CaDiCaL version: 2.1.3
% 6.07/1.92 % (3971226)Termination reason: Instruction limit
% 6.07/1.92 % (3971226)Termination phase: Saturation
% 6.07/1.92 % (3971226)Time elapsed: 0.041 s
% 6.07/1.92 % (3971226)Peak memory usage: 90 MB
% 6.07/1.92 % (3971226)Instructions burned: 138 (million)
% 6.07/1.92 % (3971228)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2122794752:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 6.07/1.92 % (3971188)Refutation found. Thanks to Tanya!
% 6.07/1.92 % SZS status Theorem for theBenchmark
% 6.07/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 9.68/2.11 % (3971188)------------------------------
% 9.68/2.11 % (3971188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.11 % (3971188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.11 % (3971188)CaDiCaL version: 2.1.3
% 9.68/2.11 % (3971188)Termination reason: Refutation
% 9.68/2.11 % (3971188)Time elapsed: 0.923 s
% 9.68/2.11 % (3971188)Peak memory usage: 132 MB
% 9.68/2.11 % (3971188)Instructions burned: 1391 (million)
% 9.68/2.11 % (3971188)------------------------------
% 9.68/2.11 % (3971188)------------------------------
% 9.68/2.11 % (3971183)Success in time 1.321 s
% 9.68/2.11 % Vampire exiting
%------------------------------------------------------------------------------