%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL414+1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n015.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 04:40:17 PM UTC 2026
% Result : Theorem 0.43s 1.61s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 71 ( 34 ~; 25 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 84 ( 6 sgn 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm147,conjecture,
~ ( ! [X1,X2] :
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) )
& ! [X1,X2] : a_truth(implies(X1,implies(X2,X1)))
& ! [X1,X2,X3] : a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))
& ! [X1,X2] : a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1)))
& ? [X4] : ~ a_truth(implies(X4,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147) ).
fof(i_0_1,negated_conjecture,
~ ~ ( ! [X1,X2] :
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) )
& ! [X1,X2] : a_truth(implies(X1,implies(X2,X1)))
& ! [X1,X2,X3] : a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))
& ! [X1,X2] : a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1)))
& ? [X4] : ~ a_truth(implies(X4,X4)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm147])]) ).
fof(i_0_2,negated_conjecture,
! [X15,X16,X17,X18,X19,X20,X21,X22,X23] :
( ( ~ a_truth(implies(X15,X16))
| ~ a_truth(X15)
| a_truth(X16) )
& a_truth(implies(X17,implies(X18,X17)))
& a_truth(implies(implies(X19,implies(X20,X21)),implies(implies(X19,X20),implies(X19,X21))))
& a_truth(implies(implies(not(X22),not(X23)),implies(X23,X22)))
& ~ a_truth(implies(esk1_0,esk1_0)) ),
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,
a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1))),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
a_truth(implies(X1,implies(X2,X1))),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
( a_truth(X2)
| ~ a_truth(implies(X1,X2))
| ~ a_truth(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,negated_conjecture,
~ a_truth(implies(esk1_0,esk1_0)),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_8,plain,
~ a_truth(implies(not(esk1_0),not(esk1_0))),
inference(scs_inference,[],[i_0_7,i_0_4,i_0_6]) ).
cnf(i_0_9,plain,
a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1))),
inference(rename_variables,[],[i_0_4]) ).
cnf(i_0_10,plain,
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_11,plain,
a_truth(implies(implies(X1,X2),implies(X1,X1))),
inference(scs_inference,[],[i_0_3,i_0_5,i_0_6]) ).
cnf(i_0_12,plain,
a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
inference(rename_variables,[],[i_0_3]) ).
cnf(i_0_13,plain,
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_14,plain,
a_truth(implies(implies(implies(X1,X2),X1),implies(implies(X1,X2),X1))),
inference(scs_inference,[],[i_0_3,i_0_11,i_0_6]) ).
cnf(i_0_15,plain,
a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
inference(rename_variables,[],[i_0_3]) ).
cnf(i_0_16,plain,
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_17,plain,
a_truth(implies(implies(X1,implies(X2,X3)),implies(X1,implies(X2,X3)))),
inference(scs_inference,[],[i_0_3,i_0_11,i_0_6]) ).
cnf(i_0_18,plain,
a_truth(implies(implies(X1,X2),implies(X1,X1))),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_19,plain,
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_20,plain,
~ a_truth(implies(not(not(esk1_0)),not(not(esk1_0)))),
inference(scs_inference,[],[i_0_8,i_0_4,i_0_6]) ).
cnf(i_0_21,plain,
a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1))),
inference(rename_variables,[],[i_0_4]) ).
cnf(i_0_22,plain,
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_23,plain,
( ~ a_truth(implies(implies(X1,X2),X1))
| a_truth(implies(implies(X1,X2),X1)) ),
inference(scs_inference,[],[i_0_14,i_0_6]) ).
cnf(i_0_24,plain,
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_25,plain,
a_truth(implies(X1,implies(implies(not(X2),not(X3)),implies(X3,X2)))),
inference(scs_inference,[],[i_0_4,i_0_5,i_0_6]) ).
cnf(i_0_26,plain,
a_truth(implies(X1,implies(X2,X1))),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_27,plain,
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_28,plain,
a_truth(implies(implies(not(X1),not(X2)),implies(not(X1),not(X2)))),
inference(scs_inference,[],[i_0_4,i_0_11,i_0_6]) ).
cnf(i_0_29,plain,
a_truth(implies(implies(X1,X2),implies(X1,X1))),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_30,plain,
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_31,plain,
$false,
inference(scs_inference,[],[i_0_5,i_0_20,i_0_11,i_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL414+1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n015.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 22:32:32 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.43/1.61 % Version : CSE_E---1.7
% 0.43/1.61 % Problem : theBenchmark.p
% 0.43/1.61 % SZS status Theorem for theBenchmark.p
% 0.43/1.61 % SZS output start CNFRefutation
% See solution above
% 0.43/1.65 % Total time : 1.269s
%------------------------------------------------------------------------------