%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL070-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n024.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 04:39:19 PM UTC 2026
% Result : Unsatisfiable 50.26s 29.57s
% Output : CNFRefutation 50.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of clauses : 48 ( 21 unt; 0 nHn; 22 RR)
% Number of literals : 86 ( 0 equ; 41 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 132 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_60,axiom,
is_a_theorem(implies(implies(X1,implies(not(X2),X3)),implies(X1,implies(implies(X4,X3),implies(implies(X2,X4),X3))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_60) ).
cnf(cn_37,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_37) ).
cnf(cn_19,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_19) ).
cnf(prove_cn_1,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_1) ).
cnf(c_0_5,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_6,axiom,
is_a_theorem(implies(implies(X1,implies(not(X2),X3)),implies(X1,implies(implies(X4,X3),implies(implies(X2,X4),X3))))),
cn_60 ).
cnf(c_0_7,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(X1,implies(not(X4),X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(X4,implies(not(X3),X2)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_9,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3))),
cn_37 ).
cnf(c_0_10,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(implies(X3,X4),X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
cn_19 ).
cnf(c_0_12,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(implies(X4,X2),X1),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X4)))
| ~ is_a_theorem(implies(X3,implies(X2,X4))) ),
inference(spm,[status(thm)],[c_0_5,c_0_12]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_11]) ).
cnf(c_0_15,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X4))
| ~ is_a_theorem(implies(X4,implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_5,c_0_13]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(X3,implies(implies(X4,X2),implies(implies(X1,X4),X2))))),
inference(spm,[status(thm)],[c_0_14,c_0_6]) ).
cnf(c_0_17,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_18,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(not(X4),X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_16]) ).
cnf(c_0_19,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_20,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(implies(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_22,plain,
( is_a_theorem(implies(implies(X1,X1),X1))
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_24,plain,
( is_a_theorem(implies(not(X1),implies(implies(X2,X3),implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(implies(X1,X5),implies(not(X4),X3))) ),
inference(spm,[status(thm)],[c_0_21,c_0_7]) ).
cnf(c_0_25,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_22]),c_0_23])]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(not(implies(X1,X2)),implies(implies(X3,X4),implies(implies(X1,X3),X4)))),
inference(spm,[status(thm)],[c_0_24,c_0_9]) ).
cnf(c_0_27,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X2),X1),X2))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X1),X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_27]) ).
cnf(c_0_29,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X1),X2))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_28]) ).
cnf(c_0_30,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X1))
| ~ is_a_theorem(implies(X1,implies(X2,X2))) ),
inference(spm,[status(thm)],[c_0_29,c_0_13]) ).
cnf(c_0_31,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(not(X1),X3))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_20]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X2,X1),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_10,c_0_23]) ).
cnf(c_0_33,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_34,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(not(X1),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_20]),c_0_11])]) ).
cnf(c_0_35,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X2),X1))
| ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_31]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(not(X1),implies(implies(X2,X1),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_21,c_0_32]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_14,c_0_33]) ).
cnf(c_0_38,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X2),X1))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_34]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(not(X1),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_21,c_0_33]) ).
cnf(c_0_40,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X4,implies(implies(X1,X2),implies(X1,X3))))
| ~ is_a_theorem(implies(X2,X4)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1))))),
inference(spm,[status(thm)],[c_0_14,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
prove_cn_1 ).
cnf(c_0_43,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,implies(X2,X3)))) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X4))))
| ~ is_a_theorem(implies(X2,X4)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
~ is_a_theorem(implies(b,implies(implies(b,c),implies(a,c)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_31]),c_0_39])]) ).
cnf(c_0_46,plain,
( is_a_theorem(implies(X1,implies(implies(X1,X2),X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LCL070-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n024.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 : Mon May 4 16:56:11 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.24 % start to proof: theBenchmark
% 50.26/29.57 % Version : CSE_E---1.7
% 50.26/29.57 % Problem : theBenchmark.p
% 50.26/29.57 % SZS status Unsatisfiable for theBenchmark.p
% 50.26/29.57 % SZS output start CNFRefutation
% See solution above
% 50.46/29.77 % Total time : 22.385s
%------------------------------------------------------------------------------