%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL012-1 : 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 : 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 04:39:11 PM UTC 2026
% Result : Unsatisfiable 4.60s 3.40s
% Output : CNFRefutation 4.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of clauses : 63 ( 31 unt; 0 nHn; 26 RR)
% Number of literals : 104 ( 0 equ; 43 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 165 ( 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(um,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X2,equivalent(X3,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',um) ).
cnf(prove_yqj,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_yqj) ).
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(equivalent(X1,X2),X3),equivalent(X2,equivalent(X3,X1)))),
um ).
cnf(c_0_5,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(equivalent(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X3)),equivalent(X3,X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_7,plain,
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X1)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_6]) ).
cnf(c_0_8,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X2,equivalent(X3,X1)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_7]) ).
cnf(c_0_9,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),X3))
| ~ is_a_theorem(equivalent(X2,equivalent(X3,X1))) ),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_10,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X2,equivalent(X1,X3)))
| ~ is_a_theorem(equivalent(X3,X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_9]) ).
cnf(c_0_11,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X3)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_12,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2))) ),
inference(spm,[status(thm)],[c_0_10,c_0_4]) ).
cnf(c_0_13,plain,
( is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),X2),X3)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_11]) ).
cnf(c_0_14,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),X1)),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_15,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(X2,X3),X3))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_16,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_14]) ).
cnf(c_0_17,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,X2)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_18,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X2))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),X2))
| ~ is_a_theorem(equivalent(X3,X1))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_11]) ).
cnf(c_0_20,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_21,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_22,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),X2))
| ~ is_a_theorem(equivalent(equivalent(X3,X3),X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_24,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X2)),X3),X3)),
inference(spm,[status(thm)],[c_0_22,c_0_4]) ).
cnf(c_0_25,plain,
( is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X2)),X3))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_20]) ).
cnf(c_0_27,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,equivalent(equivalent(X3,X1),X4)),equivalent(X4,X2)),X3))),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_28,plain,
is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X2,X1)))),
inference(spm,[status(thm)],[c_0_5,c_0_14]) ).
cnf(c_0_29,plain,
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X1)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_4]) ).
cnf(c_0_30,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X2,equivalent(equivalent(X3,X2),X3)),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_24]) ).
cnf(c_0_31,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),X2),X1),X3)) ),
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_32,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X3)),X4)),equivalent(X4,X1)),X2)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X2,equivalent(X3,X1))),X3))),
inference(spm,[status(thm)],[c_0_5,c_0_28]) ).
cnf(c_0_34,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X1)),X2)),
inference(spm,[status(thm)],[c_0_18,c_0_4]) ).
cnf(c_0_35,plain,
( is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),X3),X3)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_29]) ).
cnf(c_0_36,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X3),X2),equivalent(X1,X3))) ),
inference(spm,[status(thm)],[c_0_30,c_0_9]) ).
cnf(c_0_37,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,equivalent(X3,X3)),X1),X2))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X1,equivalent(X2,equivalent(X3,X3)))),X2)),
inference(spm,[status(thm)],[c_0_26,c_0_33]) ).
cnf(c_0_39,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X2,equivalent(X3,equivalent(equivalent(X1,X2),X3)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_34]) ).
cnf(c_0_40,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(X2,X3),X1))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_35]) ).
cnf(c_0_41,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),equivalent(equivalent(X3,X1),X3))),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
is_a_theorem(equivalent(X1,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_43,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X3))),equivalent(X2,X1))),
inference(spm,[status(thm)],[c_0_5,c_0_38]) ).
cnf(c_0_44,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X3))) ),
inference(spm,[status(thm)],[c_0_39,c_0_13]) ).
cnf(c_0_45,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X1),X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_46,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),equivalent(equivalent(X1,X3),X3))),
inference(spm,[status(thm)],[c_0_5,c_0_43]) ).
cnf(c_0_47,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
is_a_theorem(equivalent(equivalent(X1,X1),equivalent(equivalent(equivalent(X2,X3),X3),X2))),
inference(spm,[status(thm)],[c_0_5,c_0_46]) ).
cnf(c_0_49,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(spm,[status(thm)],[c_0_8,c_0_47]) ).
cnf(c_0_50,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),X2),X1),X3),X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_48]),c_0_42])]) ).
cnf(c_0_51,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,X1),X2))),
inference(spm,[status(thm)],[c_0_49,c_0_4]) ).
cnf(c_0_52,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),X3),X2),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_50]) ).
cnf(c_0_53,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X2,X3),X1),X3))),
inference(spm,[status(thm)],[c_0_5,c_0_51]) ).
cnf(c_0_54,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),X3)),X2)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X1),equivalent(equivalent(X2,X3),X3)))),
inference(spm,[status(thm)],[c_0_49,c_0_54]) ).
cnf(c_0_56,plain,
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X3),X3),X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_55]) ).
cnf(c_0_57,plain,
( is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(X3,equivalent(X1,X2))) ),
inference(spm,[status(thm)],[c_0_49,c_0_9]) ).
cnf(c_0_58,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X1,X2)),X3))),
inference(spm,[status(thm)],[c_0_56,c_0_53]) ).
cnf(c_0_59,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X1)),equivalent(X2,X3))),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_60,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(b,c)))),
prove_yqj ).
cnf(c_0_61,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X2,X3)))),
inference(spm,[status(thm)],[c_0_49,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL012-1 : TPTP v9.2.1. Released v1.0.0.
% 0.12/0.13 % 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
% 0.16/0.34 % Computer : n015.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 21:52:02 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.18/0.35 % start to proof: theBenchmark
% 4.60/3.40 % Version : CSE_E---1.7
% 4.60/3.40 % Problem : theBenchmark.p
% 4.60/3.40 % SZS status Unsatisfiable for theBenchmark.p
% 4.60/3.40 % SZS output start CNFRefutation
% See solution above
% 4.60/3.42 % Total time : 2.368s
%------------------------------------------------------------------------------