%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL127-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n005.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 04:39:29 PM UTC 2026
% Result : Unsatisfiable 77.58s 47.45s
% Output : CNFRefutation 77.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of clauses : 70 ( 26 unt; 0 nHn; 25 RR)
% Number of literals : 129 ( 0 equ; 61 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 249 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(s_2,axiom,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(equivalent(X2,X4),equivalent(X3,X4))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_2) ).
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
cnf(c_0_3,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_4,axiom,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(equivalent(X2,X4),equivalent(X3,X4))))),
s_2 ).
cnf(c_0_5,plain,
( is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X4,X3))))
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X4))) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))
| ~ is_a_theorem(equivalent(X4,equivalent(X1,X3)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_7,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),X2)))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X5))) ),
inference(spm,[status(thm)],[c_0_6,c_0_4]) ).
cnf(c_0_8,plain,
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4))
| ~ is_a_theorem(equivalent(X5,equivalent(X1,X3)))
| ~ is_a_theorem(equivalent(X5,X4)) ),
inference(spm,[status(thm)],[c_0_3,c_0_7]) ).
cnf(c_0_9,plain,
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),X2)),X6))
| ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X3,X5)),X6)) ),
inference(spm,[status(thm)],[c_0_8,c_0_4]) ).
cnf(c_0_10,plain,
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),X3)))
| ~ is_a_theorem(equivalent(X5,equivalent(X1,X4)))
| ~ is_a_theorem(X5) ),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_11,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(equivalent(X4,X5),equivalent(X6,X5)),X3)))
| ~ is_a_theorem(equivalent(equivalent(X2,equivalent(X4,X6)),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_9]) ).
cnf(c_0_12,plain,
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X6,X5)),X2),X3)))
| ~ is_a_theorem(equivalent(X1,equivalent(X4,X6))) ),
inference(spm,[status(thm)],[c_0_10,c_0_4]) ).
cnf(c_0_13,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(X3,equivalent(X4,X5))),equivalent(equivalent(X6,X5),X3)),X1))
| ~ is_a_theorem(equivalent(X2,equivalent(X6,X4))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X4))),equivalent(equivalent(equivalent(X5,X4),X6),equivalent(X2,X6))))
| ~ is_a_theorem(equivalent(X1,equivalent(X5,X3))) ),
inference(spm,[status(thm)],[c_0_13,c_0_4]) ).
cnf(c_0_15,plain,
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X4,X3)))
| ~ is_a_theorem(equivalent(X5,equivalent(X4,equivalent(X6,X2))))
| ~ is_a_theorem(equivalent(X5,equivalent(X1,X6))) ),
inference(spm,[status(thm)],[c_0_3,c_0_14]) ).
cnf(c_0_16,plain,
( is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),X4),equivalent(X5,X4)))
| ~ is_a_theorem(equivalent(equivalent(X5,equivalent(X6,X2)),equivalent(X1,equivalent(X6,X3)))) ),
inference(spm,[status(thm)],[c_0_15,c_0_4]) ).
cnf(c_0_17,plain,
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X4,X4)),X5),equivalent(X6,X5)))
| ~ is_a_theorem(equivalent(X6,equivalent(X1,X3))) ),
inference(spm,[status(thm)],[c_0_16,c_0_7]) ).
cnf(c_0_18,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),equivalent(X6,X6)),X2))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X5))) ),
inference(spm,[status(thm)],[c_0_3,c_0_17]) ).
cnf(c_0_19,plain,
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),X3)),X5),equivalent(X6,X5)))
| ~ is_a_theorem(equivalent(X6,equivalent(X1,X4))) ),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_20,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X3))))
| ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X4,X5),equivalent(X6,X5))))
| ~ is_a_theorem(equivalent(X2,equivalent(X4,X6))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X3))))
| ~ is_a_theorem(equivalent(X2,equivalent(X4,X5)))
| ~ is_a_theorem(equivalent(X1,equivalent(X4,X5))) ),
inference(spm,[status(thm)],[c_0_20,c_0_5]) ).
cnf(c_0_22,plain,
( is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(X5,X5))))
| ~ is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X6),equivalent(X4,X6))))) ),
inference(spm,[status(thm)],[c_0_21,c_0_4]) ).
cnf(c_0_23,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X4,X4)))),
inference(spm,[status(thm)],[c_0_22,c_0_4]) ).
cnf(c_0_24,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X3)),X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_23]) ).
cnf(c_0_25,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),equivalent(X3,X3))),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_26,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),
inference(spm,[status(thm)],[c_0_24,c_0_4]) ).
cnf(c_0_27,plain,
is_a_theorem(equivalent(X1,X1)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))
| ~ is_a_theorem(equivalent(X1,X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_26]) ).
cnf(c_0_29,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,X2)))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X3))) ),
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_30,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X2)),X3),equivalent(X1,X3))),
inference(spm,[status(thm)],[c_0_16,c_0_27]) ).
cnf(c_0_31,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(equivalent(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_28]) ).
cnf(c_0_32,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X2)),X1),equivalent(X3,X3))),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,plain,
is_a_theorem(equivalent(X1,equivalent(X1,equivalent(X2,X2)))),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
cnf(c_0_34,plain,
is_a_theorem(equivalent(equivalent(X1,X1),equivalent(equivalent(X2,equivalent(X3,X3)),X2))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X2)),equivalent(X3,X3)))),
inference(spm,[status(thm)],[c_0_22,c_0_33]) ).
cnf(c_0_36,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_34]),c_0_27])]) ).
cnf(c_0_37,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X2,equivalent(X2,equivalent(X3,X3))),X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_35]) ).
cnf(c_0_38,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_39,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X3,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_30]) ).
cnf(c_0_40,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X2))) ),
inference(spm,[status(thm)],[c_0_3,c_0_36]) ).
cnf(c_0_41,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X3))))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(spm,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_42,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(X1,X3),equivalent(X2,X3))) ),
inference(spm,[status(thm)],[c_0_3,c_0_38]) ).
cnf(c_0_43,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X3),X2)))),
inference(spm,[status(thm)],[c_0_39,c_0_26]) ).
cnf(c_0_44,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X3),X2)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_33]) ).
cnf(c_0_46,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(equivalent(X2,X2),X3)),X3))),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
( is_a_theorem(equivalent(equivalent(X1,X1),X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_28]) ).
cnf(c_0_49,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X4),equivalent(X1,X4))),
inference(spm,[status(thm)],[c_0_16,c_0_33]) ).
cnf(c_0_50,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X1),equivalent(equivalent(X2,X2),X3)),X3)),
inference(spm,[status(thm)],[c_0_44,c_0_46]) ).
cnf(c_0_51,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X3)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_47]) ).
cnf(c_0_52,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,X2)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_33]) ).
cnf(c_0_53,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))
| ~ is_a_theorem(equivalent(X3,X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_28]) ).
cnf(c_0_54,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X3,X4)),equivalent(X4,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_49]) ).
cnf(c_0_55,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2))) ),
inference(spm,[status(thm)],[c_0_13,c_0_50]) ).
cnf(c_0_56,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(equivalent(X1,X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_53]) ).
cnf(c_0_58,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1)),
inference(spm,[status(thm)],[c_0_40,c_0_49]) ).
cnf(c_0_59,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X4,X3)),equivalent(X2,X4))) ),
inference(spm,[status(thm)],[c_0_42,c_0_5]) ).
cnf(c_0_60,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,X4),equivalent(X2,X4))))),
inference(spm,[status(thm)],[c_0_54,c_0_4]) ).
cnf(c_0_61,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(X3,X2)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X1,equivalent(X3,X4)),equivalent(X4,X3)),X2))),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_63,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X5)),equivalent(X4,X2)),X5))),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X1,equivalent(X3,X4)),equivalent(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_66,plain,
is_a_theorem(equivalent(X1,equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4))))),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
prove_lg_2 ).
cnf(c_0_68,plain,
is_a_theorem(equivalent(X1,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))))),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL127-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n005.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 22:01:15 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 77.58/47.45 % Version : CSE_E---1.7
% 77.58/47.45 % Problem : theBenchmark.p
% 77.58/47.45 % SZS status Unsatisfiable for theBenchmark.p
% 77.58/47.45 % SZS output start CNFRefutation
% See solution above
% 77.98/47.82 % Total time : 34.331s
%------------------------------------------------------------------------------