%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN941+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:51:07 PM UTC 2026
% Result : Theorem 0.25s 1.62s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 58 ( 24 ~; 19 |; 9 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 22 ( 8 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [X1,X2] :
( q(f(X1))
=> ? [X3,X4] :
( ( p(f(X4))
=> ( p(X3)
& ( r(X4)
=> ( r(X1)
& r(X2) ) ) ) )
& q(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(i_0_1,negated_conjecture,
~ ! [X1,X2] :
( q(f(X1))
=> ? [X3,X4] :
( ( p(f(X4))
=> ( p(X3)
& ( r(X4)
=> ( r(X1)
& r(X2) ) ) ) )
& q(X3) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(i_0_2,negated_conjecture,
! [X11,X12] :
( q(f(esk1_0))
& ( p(f(X12))
| ~ q(X11) )
& ( r(X12)
| ~ p(X11)
| ~ q(X11) )
& ( ~ r(esk1_0)
| ~ r(esk2_0)
| ~ p(X11)
| ~ q(X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])])]) ).
cnf(i_0_3,negated_conjecture,
( ~ r(esk1_0)
| ~ r(esk2_0)
| ~ p(X1)
| ~ q(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
( r(X1)
| ~ p(X2)
| ~ q(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
( p(f(X1))
| ~ q(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
q(f(esk1_0)),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,plain,
p(f(X1)),
inference(scs_inference,[],[i_0_6,i_0_5]) ).
cnf(i_0_8,plain,
( r(X1)
| ~ p(f(esk1_0)) ),
inference(scs_inference,[],[i_0_6,i_0_4]) ).
cnf(i_0_9,plain,
( ~ q(X1)
| r(X2)
| ~ p(X1) ),
inference(rename_variables,[],[i_0_4]) ).
cnf(i_0_10,plain,
( ~ p(f(esk1_0))
| ~ r(esk2_0) ),
inference(scs_inference,[],[i_0_6,i_0_4,i_0_3]) ).
cnf(i_0_11,plain,
( ~ r(esk1_0)
| ~ r(esk2_0)
| ~ q(X1)
| ~ p(X1) ),
inference(rename_variables,[],[i_0_3]) ).
cnf(i_0_12,plain,
r(X1),
inference(scs_inference,[],[i_0_7,i_0_8]) ).
cnf(i_0_13,plain,
p(f(X1)),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_14,plain,
$false,
inference(scs_inference,[],[i_0_7,i_0_13,i_0_8,i_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN941+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:51:18 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.25/1.62 % Version : CSE_E---1.7
% 0.25/1.62 % Problem : theBenchmark.p
% 0.25/1.62 % SZS status Theorem for theBenchmark.p
% 0.25/1.62 % SZS output start CNFRefutation
% See solution above
% 0.25/1.64 % Total time : 1.271s
%------------------------------------------------------------------------------