%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL103-1 : 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 : n013.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 04:39:24 PM UTC 2026
% Result : Unsatisfiable 53.49s 31.91s
% Output : CNFRefutation 53.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of clauses : 39 ( 18 unt; 0 nHn; 20 RR)
% Number of literals : 65 ( 0 equ; 28 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 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 : 128 ( 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(q_3,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_3) ).
cnf(p_1,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1) ).
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
cnf(c_0_4,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_5,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)),X3)),
q_3 ).
cnf(c_0_6,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3)))),
p_1 ).
cnf(c_0_7,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),X4)))
| ~ is_a_theorem(equivalent(equivalent(X3,X2),X4)) ),
inference(spm,[status(thm)],[c_0_4,c_0_6]) ).
cnf(c_0_9,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X3,X2)))),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_11,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X3)))
| ~ is_a_theorem(equivalent(X2,X3)) ),
inference(spm,[status(thm)],[c_0_4,c_0_10]) ).
cnf(c_0_12,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X1,X3))
| ~ is_a_theorem(equivalent(X3,X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_11]) ).
cnf(c_0_13,plain,
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)),X4))
| ~ is_a_theorem(equivalent(X3,X4)) ),
inference(spm,[status(thm)],[c_0_12,c_0_5]) ).
cnf(c_0_14,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X4,X1),equivalent(X4,X2)),X3)) ),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_15,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X2,equivalent(equivalent(equivalent(equivalent(X3,X4),X2),equivalent(X4,X3)),X1))) ),
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_16,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,equivalent(X4,X1)),equivalent(X3,equivalent(X4,X2))))),
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_17,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2))) ),
inference(spm,[status(thm)],[c_0_4,c_0_17]) ).
cnf(c_0_19,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X2),X1))),
inference(spm,[status(thm)],[c_0_18,c_0_6]) ).
cnf(c_0_20,plain,
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(X2,X4))))
| ~ is_a_theorem(equivalent(X3,X4)) ),
inference(spm,[status(thm)],[c_0_4,c_0_16]) ).
cnf(c_0_21,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X3,X3),X1),X2)) ),
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_22,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X4)))
| ~ is_a_theorem(equivalent(X4,X3)) ),
inference(spm,[status(thm)],[c_0_4,c_0_20]) ).
cnf(c_0_23,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1)))),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_24,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),X3))
| ~ is_a_theorem(equivalent(equivalent(X1,X4),X3))
| ~ is_a_theorem(equivalent(X2,X4)) ),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_25,plain,
( is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),X4)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X3,X2),X1),X4)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4))
| ~ is_a_theorem(equivalent(X3,equivalent(equivalent(X2,X1),X4))) ),
inference(spm,[status(thm)],[c_0_24,c_0_5]) ).
cnf(c_0_27,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X4,equivalent(X3,X2)),equivalent(X4,X1))))),
inference(spm,[status(thm)],[c_0_25,c_0_10]) ).
cnf(c_0_28,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),X3))
| ~ is_a_theorem(equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3))) ),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_29,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(X2,equivalent(equivalent(X4,X3),X1))))),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
cnf(c_0_30,plain,
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X5,X2),equivalent(equivalent(X1,X5),X3)),X4)) ),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_31,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X1,equivalent(X3,X2)),X4))),X4)),
inference(spm,[status(thm)],[c_0_28,c_0_5]) ).
cnf(c_0_32,plain,
( is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X4)),X5)))
| ~ is_a_theorem(equivalent(equivalent(X2,equivalent(equivalent(X4,X3),X1)),X5)) ),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_33,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X3,X2),equivalent(X3,X1)),X4)),X4)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X3),X2)))) ),
inference(spm,[status(thm)],[c_0_18,c_0_26]) ).
cnf(c_0_35,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X4,X2),equivalent(X4,X3))),X1))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)),
prove_lg_2 ).
cnf(c_0_37,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL103-1 : TPTP v9.2.1. Released v1.0.0.
% 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
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 21:58:41 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 53.49/31.91 % Version : CSE_E---1.7
% 53.49/31.91 % Problem : theBenchmark.p
% 53.49/31.91 % SZS status Unsatisfiable for theBenchmark.p
% 53.49/31.91 % SZS output start CNFRefutation
% See solution above
% 53.72/32.13 % Total time : 23.412s
%------------------------------------------------------------------------------