%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN949+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 : n012.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 05:51:08 PM UTC 2026
% Result : Theorem 0.11s 1.51s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 40 ( 11 ~; 8 |; 15 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 1 sgn 17 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [X1,X2,X3] :
( ( s(X1)
& s(X2)
& r(X2,X3)
& ! [X4] :
( s(X4)
=> p(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p(X4)
& q(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(i_0_1,negated_conjecture,
~ ! [X1,X2,X3] :
( ( s(X1)
& s(X2)
& r(X2,X3)
& ! [X4] :
( s(X4)
=> p(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p(X4)
& q(X4,X5) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(i_0_2,negated_conjecture,
! [X17,X18,X19,X20,X21] :
( s(esk1_0)
& s(esk2_0)
& r(esk2_0,esk3_0)
& ( ~ s(X17)
| p(X17) )
& ( ~ r(X18,X19)
| q(X18,X19) )
& ( ~ p(X20)
| ~ q(X20,X21) ) ),
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,
( q(X1,X2)
| ~ r(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
( ~ p(X1)
| ~ q(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
( p(X1)
| ~ s(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
r(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,negated_conjecture,
s(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_8,negated_conjecture,
s(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_9,plain,
q(esk2_0,esk3_0),
inference(scs_inference,[],[i_0_6,i_0_3]) ).
cnf(i_0_10,plain,
( ~ r(X1,X2)
| q(X1,X2) ),
inference(rename_variables,[],[i_0_3]) ).
cnf(i_0_11,plain,
p(esk2_0),
inference(scs_inference,[],[i_0_6,i_0_7,i_0_3,i_0_5]) ).
cnf(i_0_12,plain,
( ~ s(X1)
| p(X1) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_13,plain,
$false,
inference(scs_inference,[],[i_0_6,i_0_7,i_0_3,i_0_5,i_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN949+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 08:50:31 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 0.11/1.51 % Version : CSE_E---1.7
% 0.11/1.51 % Problem : theBenchmark.p
% 0.11/1.51 % SZS status Theorem for theBenchmark.p
% 0.11/1.51 % SZS output start CNFRefutation
% See solution above
% 0.11/1.52 % Total time : 1.262s
%------------------------------------------------------------------------------