%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN384+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 : Sun Sep 27 09:37:45 AM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 3 sgn 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2136,conjecture,
! [Z] :
? [X,Y] :
! [U] :
( big_p(X,Y,Z)
=> big_p(U,X,X) ),
file('theBenchmark.p',x2136) ).
fof(x2136_neg,negated_conjecture,
~ ! [Z] :
? [X,Y] :
! [U] :
( big_p(X,Y,Z)
=> big_p(U,X,X) ),
inference(assume_negation,[status(cth)],[x2136]) ).
fof(nnf_1,plain,
? [Z] :
! [X,Y] :
? [U] :
( ~ big_p(U,X,X)
& big_p(X,Y,Z) ),
inference(fof_nnf,[status(thm)],[x2136_neg]) ).
fof(sk_x2136_neg,plain,
! [X,Y] :
( ~ big_p(sK0(X,Y),X,X)
& big_p(X,Y,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK0]),skolemize(Z,sK1),skolemize(U,sK0(X,Y))],[nnf_1]) ).
cnf(c_2,negated_conjecture,
~ big_p(sK0(A,B),A,A),
inference(split_conjunct,[status(thm)],[sk_x2136_neg]) ).
cnf(c_3,negated_conjecture,
big_p(A,B,sK1),
inference(split_conjunct,[status(thm)],[sk_x2136_neg]) ).
cnf(c_4,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_2,c_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN384+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:42:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 1576154 was started by sandbox2 on n026,
% 0.09/0.36 % Sat Sep 26 17:42:25 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.09/0.38
% 0.09/0.38 % SZS status Theorem for theBenchmark
% 0.09/0.38
% 0.09/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.38 % Length of proof is 4.
% 0.09/0.38 % Level of proof is 2.
% 0.09/0.38 % Maximum clause weight is 0.000.
% 0.09/0.38 % Given clauses 0.
% 0.09/0.38
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------