%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE150+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 : 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 11:40:59 AM UTC 2026
% Result : Theorem 0.49s 0.80s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 27 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
fof(f10,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
fof(f11,axiom,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
fof(f19,conjecture,
! [X0] : strong_iteration(multiplication(X0,zero)) = addition(one,multiplication(X0,zero)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0] : strong_iteration(multiplication(X0,zero)) = addition(one,multiplication(X0,zero)),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f24,plain,
? [X0] : strong_iteration(multiplication(X0,zero)) != addition(one,multiplication(X0,zero)),
inference(ennf_transformation,[],[f20]) ).
fof(f26,plain,
strong_iteration(multiplication(sK0,zero)) != addition(one,multiplication(sK0,zero)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f24]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
inference(cnf_transformation,[],[f11]) ).
fof(f41,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f46,plain,
strong_iteration(multiplication(sK0,zero)) != addition(one,multiplication(sK0,zero)),
inference(cnf_transformation,[],[f26]) ).
fof(f125,plain,
! [X0,X1] : star(multiplication(X0,X1)) = addition(one,multiplication(X0,multiplication(X1,star(multiplication(X0,X1))))),
inference(superposition,[],[f37,f31]) ).
fof(f126,plain,
! [X0,X1] : strong_iteration(multiplication(X0,X1)) = addition(multiplication(X0,multiplication(X1,strong_iteration(multiplication(X0,X1)))),one),
inference(superposition,[],[f41,f31]) ).
fof(f127,plain,
! [X0,X1] : strong_iteration(multiplication(X0,X1)) = addition(one,multiplication(X0,multiplication(X1,strong_iteration(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f126,f27]) ).
fof(f2404,plain,
! [X0] : addition(one,multiplication(X0,zero)) = star(multiplication(X0,zero)),
inference(superposition,[],[f125,f36]) ).
fof(f2446,plain,
strong_iteration(multiplication(sK0,zero)) != star(multiplication(sK0,zero)),
inference(backward_demodulation,[],[f46,f2404]) ).
fof(f2467,plain,
! [X0] : strong_iteration(multiplication(X0,zero)) = addition(one,multiplication(X0,zero)),
inference(superposition,[],[f127,f36]) ).
fof(f2508,plain,
! [X0] : strong_iteration(multiplication(X0,zero)) = star(multiplication(X0,zero)),
inference(forward_demodulation,[],[f2467,f2404]) ).
fof(f2518,plain,
star(multiplication(sK0,zero)) != star(multiplication(sK0,zero)),
inference(backward_demodulation,[],[f2446,f2508]) ).
fof(f2519,plain,
$false,
inference(trivial_inequality_removal,[],[f2518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE150+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.48 % Computer : n010.cluster.edu
% 0.20/0.48 % Model : x86_64 x86_64
% 0.20/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.48 % Memory : 8046.5625MB
% 0.20/0.48 % OS : Linux 6.8.0-71-generic
% 0.20/0.48 % CPULimit : 300
% 0.20/0.48 % WCLimit : 300
% 0.20/0.48 % DateTime : Sun Sep 27 13:13:16 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.53 Running first-order model finding
% 0.25/0.53 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
% 0.49/0.80 % (957179)Will run a generic schedule for satisfiability detection.
% 0.49/0.80 % (957188)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2165361272:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.49/0.80 % (957185)% WARNING: option uhcvi not known.
% 0.49/0.80 % (957186)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1838328647:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.49/0.80 % (957190)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=570856858:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.49/0.80 % (957184)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4158392151_2999 on theBenchmark for (2999ds/0Mi)
% 0.49/0.80 % (957187)dis+10_1_sil=32000:sp=arity:random_seed=765527390:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.49/0.80 % (957185)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2139985726:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.49/0.80 % (957189)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4013572006:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.49/0.80 % TRYING [1]
% 0.49/0.80 % TRYING [2]
% 0.49/0.80 % TRYING [3]
% 0.49/0.80 % TRYING [4]
% 0.49/0.80 % (957188)Instruction limit reached!
% 0.49/0.80 % (957188)------------------------------
% 0.49/0.80 % (957188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.80 % (957188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.80 % (957188)CaDiCaL version: 2.1.3
% 0.49/0.80 % (957188)Termination reason: Instruction limit
% 0.49/0.80 % (957188)Termination phase: Saturation
% 0.49/0.80 % (957188)Time elapsed: 0.067 s
% 0.49/0.80 % (957188)Peak memory usage: 13 MB
% 0.49/0.80 % (957188)Instructions burned: 116 (million)
% 0.49/0.80 % TRYING [5]
% 0.49/0.80 % (957198)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3608947536:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.49/0.80 % (957187)Instruction limit reached!
% 0.49/0.80 % (957187)------------------------------
% 0.49/0.80 % (957187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.80 % (957187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.80 % (957187)CaDiCaL version: 2.1.3
% 0.49/0.80 % (957187)Termination reason: Instruction limit
% 0.49/0.80 % (957187)Termination phase: Saturation
% 0.49/0.80 % (957187)Time elapsed: 0.088 s
% 0.49/0.80 % (957187)Peak memory usage: 12 MB
% 0.49/0.80 % (957187)Instructions burned: 103 (million)
% 0.49/0.80 % TRYING [1]
% 0.49/0.80 % TRYING [2]
% 0.49/0.80 % TRYING [3]
% 0.49/0.80 % TRYING [4]
% 0.49/0.80 % (957200)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2464317318:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.49/0.80 % (957189)Instruction limit reached!
% 0.49/0.80 % (957189)------------------------------
% 0.49/0.80 % (957189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.80 % (957189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.80 % (957189)CaDiCaL version: 2.1.3
% 0.49/0.80 % (957189)Termination reason: Instruction limit
% 0.49/0.80 % (957189)Termination phase: Saturation
% 0.49/0.80 % (957189)Time elapsed: 0.118 s
% 0.49/0.80 % (957189)Peak memory usage: 13 MB
% 0.49/0.80 % (957189)Instructions burned: 132 (million)
% 0.49/0.80 % (957190)Instruction limit reached!
% 0.49/0.80 % (957190)------------------------------
% 0.49/0.80 % (957190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.80 % (957190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.80 % (957190)CaDiCaL version: 2.1.3
% 0.49/0.80 % (957190)Termination reason: Instruction limit
% 0.49/0.80 % (957190)Termination phase: Saturation
% 0.49/0.80 % (957190)Time elapsed: 0.125 s
% 0.49/0.80 % (957190)Peak memory usage: 13 MB
% 0.49/0.80 % (957190)Instructions burned: 159 (million)
% 0.49/0.80 % TRYING [5]
% 0.49/0.80 % (957202)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=1079004442:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.49/0.80 % TRYING [6]
% 0.49/0.80 % (957203)ott-21_1_sil=16000:fs=off:random_seed=3720950131:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.49/0.80 % (957200) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-957179-957200"...
% 0.49/0.80 % (957200)...printing done.
% 0.49/0.80 % (957200)Refutation found. Thanks to Tanya!
% 0.49/0.80 % SZS status Theorem for theBenchmark
% 1.95/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.80 % (957200)------------------------------
% 1.95/0.80 % (957200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.80 % (957200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.80 % (957200)CaDiCaL version: 2.1.3
% 1.95/0.80 % (957200)Termination reason: Refutation
% 1.95/0.80 % (957200)Time elapsed: 0.086 s
% 1.95/0.80 % (957200)Peak memory usage: 13 MB
% 1.95/0.80 % (957200)Instructions burned: 125 (million)
% 1.95/0.80 % (957179)Success in time 0.249 s
% 1.95/0.80 % Vampire exiting
%------------------------------------------------------------------------------