%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN054+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 09:36:52 AM UTC 2026
% Result : Theorem 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 3 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 36 ( 13 ~; 17 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 1 sgn 2 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel24_1,axiom,
~ ? [X] :
( big_q(X)
& big_s(X) ),
file('theBenchmark.p',pel24_1) ).
fof(pel24_2,axiom,
! [X] :
( big_p(X)
=> ( big_r(X)
| big_q(X) ) ),
file('theBenchmark.p',pel24_2) ).
fof(pel24_3,axiom,
( ~ ? [X] : big_p(X)
=> ? [Y] : big_q(Y) ),
file('theBenchmark.p',pel24_3) ).
fof(pel24_4,axiom,
! [X] :
( ( big_r(X)
| big_q(X) )
=> big_s(X) ),
file('theBenchmark.p',pel24_4) ).
fof(pel24,conjecture,
? [X] :
( big_r(X)
& big_p(X) ),
file('theBenchmark.p',pel24) ).
fof(pel24_neg,negated_conjecture,
~ ? [X] :
( big_r(X)
& big_p(X) ),
inference(assume_negation,[status(cth)],[pel24]) ).
cnf(c_6,plain,
( big_s(A)
| ~ big_q(A) ),
inference(clausify,[status(thm)],[pel24_4]) ).
cnf(c_7,plain,
( ~ big_q(A)
| ~ big_s(A) ),
inference(clausify,[status(thm)],[pel24_1]) ).
fof(nnf_3,plain,
( ? [Y] : big_q(Y)
| ? [X] : big_p(X) ),
inference(fof_nnf,[status(thm)],[pel24_3]) ).
fof(sk_pel24_3,plain,
( big_q(sK1)
| big_p(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X,sK0),skolemize(Y,sK1)],[nnf_3]) ).
cnf(c_9,plain,
( big_q(sK1)
| big_p(sK0) ),
inference(split_conjunct,[status(thm)],[sk_pel24_3]) ).
cnf(c_10,negated_conjecture,
( ~ big_r(A)
| ~ big_p(A) ),
inference(clausify,[status(thm)],[pel24_neg]) ).
cnf(c_11,plain,
( big_r(A)
| big_q(A)
| ~ big_p(A) ),
inference(clausify,[status(thm)],[pel24_2]) ).
cnf(c_12,negated_conjecture,
( ~ big_r(sK0)
| big_q(sK1) ),
inference(resolve,[status(thm)],[c_9,c_10]) ).
cnf(c_13,plain,
( big_q(sK1)
| big_r(sK0)
| big_q(sK0) ),
inference(resolve,[status(thm)],[c_11,c_9]) ).
cnf(c_14,negated_conjecture,
( big_q(sK1)
| big_q(sK0)
| big_q(sK1) ),
inference(resolve,[status(thm)],[c_12,c_13]) ).
cnf(c_15,negated_conjecture,
( big_q(sK0)
| big_q(sK1) ),
inference(copy,[status(thm)],[c_14]) ).
cnf(c_16,plain,
( ~ big_q(A)
| ~ big_q(A) ),
inference(resolve,[status(thm)],[c_6,c_7]) ).
cnf(c_17,plain,
~ big_q(A),
inference(copy,[status(thm)],[c_16]) ).
cnf(c_19,negated_conjecture,
big_q(sK0),
inference(resolve,[status(thm)],[c_17,c_15]) ).
cnf(c_18,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_17,c_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN054+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n020.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 17:07:48 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.42 % Process 2084461 was started by sandbox on n020,
% 0.15/0.42 % Sat Sep 26 17:07:48 2026
% 0.15/0.42 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/0.42
% 0.15/0.42 % From the command line: assign(max_seconds, 300).
% 0.15/0.44
% 0.15/0.44 % SZS status Theorem for theBenchmark
% 0.15/0.44
% 0.15/0.44 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/0.44 % Length of proof is 17.
% 0.15/0.44 % Level of proof is 5.
% 0.15/0.44 % Maximum clause weight is 4.000.
% 0.15/0.44 % Given clauses 0.
% 0.15/0.44
% 0.15/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------