%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE071+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 : 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 11:40:48 AM UTC 2026
% Result : Theorem 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 62 ( 59 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+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/KLE001+0.ax',additive_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+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/KLE001+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/KLE001+0.ax',left_distributivity) ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).
fof(f18,conjecture,
! [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) != multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != multiplication(addition(domain(sK0),domain(sK1)),addition(domain(sK0),domain(sK2))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f20]) ).
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(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] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f35,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f15]) ).
fof(f38,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != multiplication(addition(domain(sK0),domain(sK1)),addition(domain(sK0),domain(sK2))),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f35,f22]) ).
fof(f49,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f34,f28]) ).
fof(f52,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f49,f28]) ).
fof(f195,plain,
! [X0,X1] : multiplication(X0,one) = addition(multiplication(X0,one),multiplication(X0,domain(X1))),
inference(superposition,[],[f29,f47]) ).
fof(f202,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != addition(multiplication(addition(domain(sK0),domain(sK1)),domain(sK0)),multiplication(addition(domain(sK0),domain(sK1)),domain(sK2))),
inference(superposition,[],[f38,f29]) ).
fof(f211,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != addition(multiplication(addition(domain(sK0),domain(sK1)),domain(sK0)),addition(multiplication(domain(sK0),domain(sK2)),multiplication(domain(sK1),domain(sK2)))),
inference(forward_demodulation,[],[f202,f30]) ).
fof(f218,plain,
! [X0,X1] : addition(X0,multiplication(X0,domain(X1))) = X0,
inference(forward_demodulation,[],[f195,f27]) ).
fof(f226,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != addition(addition(multiplication(domain(sK0),domain(sK0)),multiplication(domain(sK1),domain(sK0))),addition(multiplication(domain(sK0),domain(sK2)),multiplication(domain(sK1),domain(sK2)))),
inference(forward_demodulation,[],[f211,f30]) ).
fof(f236,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != addition(multiplication(domain(sK0),domain(sK0)),addition(multiplication(domain(sK1),domain(sK0)),addition(multiplication(domain(sK0),domain(sK2)),multiplication(domain(sK1),domain(sK2))))),
inference(forward_demodulation,[],[f226,f23]) ).
fof(f255,plain,
! [X0,X1] : multiplication(one,X1) = addition(multiplication(one,X1),multiplication(domain(X0),X1)),
inference(superposition,[],[f30,f47]) ).
fof(f278,plain,
! [X0,X1] : addition(X1,multiplication(domain(X0),X1)) = X1,
inference(forward_demodulation,[],[f255,f28]) ).
fof(f425,plain,
! [X2,X0,X1] : addition(X0,X2) = addition(X0,addition(multiplication(X0,domain(X1)),X2)),
inference(superposition,[],[f23,f218]) ).
fof(f500,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(superposition,[],[f33,f278]) ).
fof(f503,plain,
! [X2,X0,X1] : addition(X0,X2) = addition(X0,addition(multiplication(domain(X1),X0),X2)),
inference(superposition,[],[f23,f278]) ).
fof(f575,plain,
! [X0] : domain(X0) = multiplication(domain(X0),domain(X0)),
inference(superposition,[],[f500,f52]) ).
fof(f753,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != addition(domain(sK0),addition(multiplication(domain(sK1),domain(sK0)),addition(multiplication(domain(sK0),domain(sK2)),multiplication(domain(sK1),domain(sK2))))),
inference(superposition,[],[f236,f575]) ).
fof(f760,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != addition(domain(sK0),addition(multiplication(domain(sK0),domain(sK2)),multiplication(domain(sK1),domain(sK2)))),
inference(forward_demodulation,[],[f753,f503]) ).
fof(f764,plain,
$false,
inference(forward_subsumption_resolution,[],[f760,f425]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE071+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n005.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 13:08:47 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.50 % (3977184)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (3977193)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2687663927:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (3977190)% WARNING: option uhcvi not known.
% 0.17/0.50 % (3977191)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4214523800:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (3977192)dis+10_1_sil=32000:sp=arity:random_seed=2692812974:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (3977189)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1378161106_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (3977190)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2583300313:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (3977195)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2062524433:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % (3977194)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1753391704:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % TRYING [1]
% 0.17/0.50 % TRYING [2]
% 0.17/0.50 % TRYING [3]
% 0.17/0.50 % TRYING [4]
% 0.17/0.50 % (3977194) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3977184-3977194"...
% 0.17/0.50 % (3977194)...printing done.
% 0.17/0.50 % (3977194)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (3977194)------------------------------
% 0.17/0.50 % (3977194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (3977194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (3977194)CaDiCaL version: 2.1.3
% 0.17/0.50 % (3977194)Termination reason: Refutation
% 0.17/0.50 % (3977194)Time elapsed: 0.016 s
% 0.17/0.50 % (3977194)Peak memory usage: 12 MB
% 0.17/0.50 % (3977194)Instructions burned: 26 (million)
% 0.17/0.50 % (3977184)Success in time 0.054 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------