%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE038+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:43 AM UTC 2026
% Result : Theorem 1.67s 0.80s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 45 unt; 0 def)
% Number of atoms : 53 ( 35 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 83 ( 82 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',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/Axioms/KLE002+0.ax',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/Axioms/KLE002+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(f17,conjecture,
! [X0] : leq(X0,star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : leq(X0,star(X0)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f21,plain,
? [X0] : ~ leq(X0,star(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f35,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f39,plain,
~ leq(sK0,star(sK0)),
inference(cnf_transformation,[],[f21]) ).
fof(f45,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f35,f34]) ).
fof(f115,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f23,f25]) ).
fof(f116,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f23,f22]) ).
fof(f125,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f23,f22]) ).
fof(f167,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f33,f115]) ).
fof(f170,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f167]) ).
fof(f225,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f116,f23]) ).
fof(f373,plain,
! [X2,X0,X1] : leq(X1,addition(X0,addition(X1,X2))),
inference(superposition,[],[f170,f125]) ).
fof(f775,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X2,X1)),
inference(superposition,[],[f225,f125]) ).
fof(f1819,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f29,f27]) ).
fof(f1913,plain,
! [X2,X0,X1] : leq(X0,addition(X2,multiplication(X0,addition(one,X1)))),
inference(superposition,[],[f373,f1819]) ).
fof(f2031,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f28]) ).
fof(f6106,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f45,f22]) ).
fof(f6107,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f6106,f125]) ).
fof(f6108,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f6107,f775]) ).
fof(f6109,plain,
! [X0] : star(X0) = addition(one,multiplication(addition(one,X0),star(X0))),
inference(forward_demodulation,[],[f6108,f2031]) ).
fof(f8386,plain,
! [X2,X0,X1] : leq(X1,addition(X2,multiplication(X1,star(X0)))),
inference(superposition,[],[f1913,f6109]) ).
fof(f8405,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f115,f6109]) ).
fof(f13067,plain,
! [X0] : leq(addition(one,X0),star(X0)),
inference(superposition,[],[f8386,f6109]) ).
fof(f13087,plain,
! [X0] : leq(addition(X0,one),star(X0)),
inference(superposition,[],[f13067,f22]) ).
fof(f13133,plain,
! [X0] : star(X0) = addition(addition(X0,one),star(X0)),
inference(resolution,[],[f13087,f34]) ).
fof(f13147,plain,
! [X0] : star(X0) = addition(star(X0),addition(X0,one)),
inference(forward_demodulation,[],[f13133,f22]) ).
fof(f13148,plain,
! [X0] : star(X0) = addition(X0,addition(one,star(X0))),
inference(forward_demodulation,[],[f13147,f125]) ).
fof(f13149,plain,
! [X0] : star(X0) = addition(X0,star(X0)),
inference(forward_demodulation,[],[f13148,f8405]) ).
fof(f13171,plain,
! [X0] : leq(X0,star(X0)),
inference(superposition,[],[f170,f13149]) ).
fof(f13872,plain,
$false,
inference(resolution,[],[f13171,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE038+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 13:05:07 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.67/0.80 % (209882)Will run a generic schedule for satisfiability detection.
% 1.67/0.80 % (209890)dis+10_1_sil=32000:sp=arity:random_seed=1637589286:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.67/0.80 % (209888)% WARNING: option uhcvi not known.
% 1.67/0.80 % (209887)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1216554209_2999 on theBenchmark for (2999ds/0Mi)
% 1.67/0.80 % (209888)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3623328562:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.67/0.80 % (209892)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1440450211:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.67/0.80 % (209889)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3964152472:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.67/0.80 % (209891)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=998569372:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.67/0.80 % (209893)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3217779506:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.67/0.80 % TRYING [1]
% 1.67/0.80 % TRYING [2]
% 1.67/0.80 % TRYING [3]
% 1.67/0.80 % TRYING [4]
% 1.67/0.80 % (209890)Instruction limit reached!
% 1.67/0.80 % (209890)------------------------------
% 1.67/0.80 % (209890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.80 % (209890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.80 % (209890)CaDiCaL version: 2.1.3
% 1.67/0.80 % (209890)Termination reason: Instruction limit
% 1.67/0.80 % (209890)Termination phase: Saturation
% 1.67/0.80 % (209890)Time elapsed: 0.036 s
% 1.67/0.80 % (209890)Peak memory usage: 12 MB
% 1.67/0.80 % (209890)Instructions burned: 106 (million)
% 1.67/0.80 % TRYING [5]
% 1.67/0.80 % (209901)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2610628145:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.67/0.80 % TRYING [1]
% 1.67/0.80 % TRYING [2]
% 1.67/0.80 % TRYING [3]
% 1.67/0.80 % TRYING [4]
% 1.67/0.80 % TRYING [5]
% 1.67/0.80 % (209891)Instruction limit reached!
% 1.67/0.80 % (209891)------------------------------
% 1.67/0.80 % (209891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.80 % (209891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.80 % (209891)CaDiCaL version: 2.1.3
% 1.67/0.80 % (209891)Termination reason: Instruction limit
% 1.67/0.80 % (209891)Termination phase: Saturation
% 1.67/0.80 % (209891)Time elapsed: 0.073 s
% 1.67/0.80 % (209891)Peak memory usage: 13 MB
% 1.67/0.80 % (209891)Instructions burned: 117 (million)
% 1.67/0.80 % (209892)Instruction limit reached!
% 1.67/0.80 % (209892)------------------------------
% 1.67/0.80 % (209892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.80 % (209892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.80 % (209892)CaDiCaL version: 2.1.3
% 1.67/0.80 % (209892)Termination reason: Instruction limit
% 1.67/0.80 % (209892)Termination phase: Saturation
% 1.67/0.80 % (209892)Time elapsed: 0.078 s
% 1.67/0.80 % (209892)Peak memory usage: 13 MB
% 1.67/0.80 % (209892)Instructions burned: 132 (million)
% 1.67/0.80 % TRYING [6]
% 1.67/0.80 % TRYING [6]
% 1.67/0.80 % (209903)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3985564438:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.67/0.80 % (209904)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1132732826:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.67/0.80 % (209893)Instruction limit reached!
% 1.67/0.80 % (209893)------------------------------
% 1.67/0.80 % (209893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.80 % (209893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.80 % (209893)CaDiCaL version: 2.1.3
% 1.67/0.80 % (209893)Termination reason: Instruction limit
% 1.67/0.80 % (209893)Termination phase: Saturation
% 1.67/0.80 % (209893)Time elapsed: 0.100 s
% 1.67/0.80 % (209893)Peak memory usage: 13 MB
% 1.67/0.80 % (209893)Instructions burned: 159 (million)
% 1.67/0.80 % (209907)ott-21_1_sil=16000:fs=off:random_seed=454037865:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.67/0.80 % TRYING [7]
% 1.67/0.80 % (209903)Instruction limit reached!
% 1.67/0.80 % (209903)------------------------------
% 1.67/0.80 % (209903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.80 % (209903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.80 % (209903)CaDiCaL version: 2.1.3
% 1.67/0.80 % (209903)Termination reason: Instruction limit
% 1.67/0.80 % (209903)Termination phase: Saturation
% 1.67/0.80 % (209903)Time elapsed: 0.089 s
% 1.67/0.80 % (209903)Peak memory usage: 13 MB
% 1.67/0.80 % (209903)Instructions burned: 132 (million)
% 1.67/0.80 % (209901)Instruction limit reached!
% 1.67/0.80 % (209901)------------------------------
% 1.67/0.80 % (209901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.80 % (209901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.80 % (209901)CaDiCaL version: 2.1.3
% 1.67/0.80 % (209901)Termination reason: Instruction limit
% 1.67/0.80 % (209901)Termination phase: Finite model building constraint generation
% 1.67/0.80 % (209901)Time elapsed: 0.152 s
% 1.67/0.80 % (209901)Peak memory usage: 31 MB
% 1.67/0.80 % (209901)Instructions burned: 717 (million)
% 1.67/0.80 % (209907)Instruction limit reached!
% 1.67/0.80 % (209907)------------------------------
% 1.67/0.80 % (209907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.80 % (209907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.80 % (209907)CaDiCaL version: 2.1.3
% 1.67/0.80 % (209907)Termination reason: Instruction limit
% 1.67/0.80 % (209907)Termination phase: Saturation
% 1.67/0.80 % (209907)Time elapsed: 0.076 s
% 1.67/0.80 % (209907)Peak memory usage: 12 MB
% 1.67/0.80 % (209907)Instructions burned: 180 (million)
% 1.67/0.80 % (209910)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=168917874:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.67/0.80 % (209909)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=393684049:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.67/0.80 % TRYING [1]
% 1.67/0.80 % TRYING [2]
% 1.67/0.80 % TRYING [3]
% 1.67/0.80 % TRYING [4]
% 1.67/0.80 % TRYING [7]
% 1.67/0.80 % (209911)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3886216901:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.67/0.80 % TRYING [5]
% 1.67/0.80 % TRYING [6]
% 1.67/0.80 % (209904) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-209882-209904"...
% 1.67/0.80 % (209904)...printing done.
% 1.67/0.80 % (209904)Refutation found. Thanks to Tanya!
% 1.67/0.80 % SZS status Theorem for theBenchmark
% 1.67/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.80 % (209904)------------------------------
% 1.67/0.80 % (209904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.80 % (209904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.80 % (209904)CaDiCaL version: 2.1.3
% 1.67/0.80 % (209904)Termination reason: Refutation
% 1.67/0.80 % (209904)Time elapsed: 0.229 s
% 1.67/0.80 % (209904)Peak memory usage: 16 MB
% 1.67/0.80 % (209904)Instructions burned: 435 (million)
% 1.67/0.80 % (209882)Success in time 0.366 s
% 1.67/0.80 % Vampire exiting
%------------------------------------------------------------------------------