%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KLE076+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 : Fri Sep 25 01:51:33 PM UTC 2026
% Result : Theorem 2.98s 0.87s
% Output : Proof 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 3 sgn 5 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f15_nnf,plain,
domain(zero) = zero,
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c16,plain,
domain(zero) = zero,
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(t0,plain,
domain(zero) = zero,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t74,plain,
domain(zero) = zero,
inference(orient,[status(thm)],[t0]) ).
fof(f9,axiom,
! [A] : multiplication(A,zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f9_nnf,plain,
! [A] : multiplication(A,zero) = zero,
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [A] : multiplication(A,zero) = zero,
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
multiplication(X0,zero) = zero,
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(t7,plain,
multiplication(X1,zero) = zero,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t69,plain,
multiplication(X1,zero) = zero,
inference(orient,[status(thm)],[t7]) ).
fof(f17,conjecture,
! [X0] : domain(multiplication(X0,domain(zero))) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f17_neg,negated_conjecture,
~ ! [X0] : domain(multiplication(X0,domain(zero))) = zero,
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f17_nnf,plain,
? [X0] : domain(multiplication(X0,domain(zero))) != zero,
inference(nnf_transformation,[status(thm)],[f17_neg]) ).
fof(f17_sk,plain,
domain(multiplication(sk0,domain(zero))) != zero,
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f17_nnf]) ).
cnf(c18,plain,
domain(multiplication(sk0,domain(zero))) != zero,
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(goal_0,negated_conjecture,
domain(multiplication(sk0,domain(zero))) != zero,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(g0_0,plain,
domain(multiplication(sk0,zero)) != zero,
inference(rw,[status(thm)],[goal_0,t74]) ).
cnf(g0_1,plain,
domain(zero) != zero,
inference(rw,[status(thm)],[g0_0,t69]) ).
cnf(g0_2,plain,
zero != zero,
inference(rw,[status(thm)],[g0_1,t74]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE076+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 18:51:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.98/0.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.98/0.87 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------