%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL026-1 : 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 : n012.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 04:39:13 PM UTC 2026
% Result : Unsatisfiable 8.70s 5.94s
% Output : CNFRefutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of clauses : 57 ( 34 unt; 0 nHn; 19 RR)
% Number of literals : 85 ( 0 equ; 30 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 132 ( 30 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(c0_6,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_6) ).
cnf(c0_2,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).
cnf(c0_5,axiom,
is_a_theorem(implies(implies(implies(X1,falsehood),falsehood),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_5) ).
cnf(prove_c0_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_3) ).
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(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
c0_6 ).
cnf(c_0_7,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
c0_2 ).
cnf(c_0_9,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_10,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_11,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X3,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_13,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_15,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_16,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(implies(X1,X2),X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_15,c_0_8]) ).
cnf(c_0_18,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_20,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_21,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_18]) ).
cnf(c_0_22,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,X3),X3),X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_19]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_24,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,X1),X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3))),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_29,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_30,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))),
inference(spm,[status(thm)],[c_0_15,c_0_27]) ).
cnf(c_0_31,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(implies(X3,X1),X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_28]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X1,implies(X2,X3)),X3)))),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_33,axiom,
is_a_theorem(implies(implies(implies(X1,falsehood),falsehood),X1)),
c0_5 ).
cnf(c_0_34,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_30]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(X1,implies(implies(X1,implies(implies(X2,X1),X3)),X3))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(falsehood,X1)),
inference(spm,[status(thm)],[c_0_13,c_0_33]) ).
cnf(c_0_37,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))
| ~ is_a_theorem(implies(implies(X4,X1),X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_34]) ).
cnf(c_0_38,plain,
is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_15,c_0_35]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(X1,implies(falsehood,X2))),
inference(spm,[status(thm)],[c_0_15,c_0_36]) ).
cnf(c_0_40,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X2,X3),X4),X4))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(implies(implies(falsehood,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_39]) ).
cnf(c_0_42,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X1,falsehood),falsehood)) ),
inference(spm,[status(thm)],[c_0_5,c_0_33]) ).
cnf(c_0_43,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X1),X2),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_40]) ).
cnf(c_0_44,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(falsehood,X2),X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_41]) ).
cnf(c_0_45,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_46,plain,
is_a_theorem(implies(implies(implies(X1,falsehood),X1),X1)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
is_a_theorem(implies(implies(X1,falsehood),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_44,c_0_23]) ).
cnf(c_0_48,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X2,falsehood),X2)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
( is_a_theorem(implies(implies(X1,falsehood),X2))
| ~ is_a_theorem(implies(implies(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_47]) ).
cnf(c_0_50,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,falsehood),X2),X2))),
inference(spm,[status(thm)],[c_0_48,c_0_40]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(implies(X1,falsehood),implies(implies(implies(X1,X2),X3),X3))),
inference(spm,[status(thm)],[c_0_49,c_0_19]) ).
cnf(c_0_52,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(implies(X2,falsehood),X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_50]) ).
cnf(c_0_53,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X1,falsehood),X3))),
inference(spm,[status(thm)],[c_0_15,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
prove_c0_3 ).
cnf(c_0_55,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LCL026-1 : 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
% 0.08/0.25 % Computer : n012.cluster.edu
% 0.08/0.25 % Model : x86_64 x86_64
% 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25 % Memory : 8042.1875MB
% 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25 % CPULimit : 300
% 0.08/0.25 % WCLimit : 300
% 0.08/0.25 % DateTime : Mon May 4 21:52:31 EDT 2026
% 0.08/0.25 % CPUTime :
% 0.08/0.25 % start to proof: theBenchmark
% 8.70/5.94 % Version : CSE_E---1.7
% 8.70/5.94 % Problem : theBenchmark.p
% 8.70/5.94 % SZS status Unsatisfiable for theBenchmark.p
% 8.70/5.94 % SZS output start CNFRefutation
% See solution above
% 8.70/5.98 % Total time : 4.363s
%------------------------------------------------------------------------------