%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE114+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 11:40:54 AM UTC 2026
% Result : Theorem 0.25s 0.58s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 14 ( 14 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 29 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(f21,axiom,
! [X0] : c(X0) = antidomain(domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',complement) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).
fof(f25,axiom,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',forward_box) ).
fof(f27,conjecture,
! [X0] : forward_box(X0,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0] : forward_box(X0,one) = one,
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0] : one != forward_box(X0,one),
inference(ennf_transformation,[],[f28]) ).
fof(f32,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f41,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f43,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f44,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f49,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f53,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
one != forward_box(sK0,one),
inference(cnf_transformation,[],[f29]) ).
fof(f56,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f49,f44]) ).
fof(f60,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f51,f44,f44]) ).
fof(f61,plain,
! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
inference(definition_unfolding,[],[f53,f56,f60,f56]) ).
fof(f62,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(one))))))))))),
inference(definition_unfolding,[],[f55,f61]) ).
fof(f64,plain,
zero = antidomain(one),
inference(superposition,[],[f35,f41]) ).
fof(f65,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(zero)))))))))),
inference(superposition,[],[f62,f64]) ).
fof(f74,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f43,f64]) ).
fof(f79,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f74,f32]) ).
fof(f80,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(one))))))))),
inference(superposition,[],[f65,f79]) ).
fof(f84,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(zero)))))))),
inference(forward_demodulation,[],[f80,f64]) ).
fof(f86,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(one))))))),
inference(forward_demodulation,[],[f84,f79]) ).
fof(f87,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,zero)))))),
inference(forward_demodulation,[],[f86,f64]) ).
fof(f88,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(zero))))),
inference(forward_demodulation,[],[f87,f39]) ).
fof(f89,plain,
one != antidomain(antidomain(antidomain(antidomain(one)))),
inference(forward_demodulation,[],[f88,f79]) ).
fof(f90,plain,
one != antidomain(antidomain(antidomain(zero))),
inference(forward_demodulation,[],[f89,f64]) ).
fof(f91,plain,
one != antidomain(antidomain(one)),
inference(forward_demodulation,[],[f90,f79]) ).
fof(f92,plain,
one != antidomain(zero),
inference(forward_demodulation,[],[f91,f64]) ).
fof(f93,plain,
$false,
inference(forward_subsumption_resolution,[],[f92,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE114+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.46 % Computer : n008.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 13:11:39 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.52 Running first-order model finding
% 0.25/0.52 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.58 % (1213227)Will run a generic schedule for satisfiability detection.
% 0.25/0.58 % (1213236)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3521544662:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.58 % (1213236) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1213227-1213236"...
% 0.25/0.58 % (1213236)...printing done.
% 0.25/0.58 % (1213236)Refutation found. Thanks to Tanya!
% 0.25/0.58 % SZS status Theorem for theBenchmark
% 0.25/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.58 % (1213236)------------------------------
% 0.25/0.58 % (1213236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.58 % (1213236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.58 % (1213236)CaDiCaL version: 2.1.3
% 0.25/0.58 % (1213236)Termination reason: Refutation
% 0.25/0.58 % (1213236)Time elapsed: 0.003 s
% 0.25/0.58 % (1213236)Peak memory usage: 12 MB
% 0.25/0.58 % (1213236)Instructions burned: 4 (million)
% 0.25/0.58 % (1213227)Success in time 0.045 s
% 0.25/0.58 % Vampire exiting
%------------------------------------------------------------------------------