%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL033-1 : 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 : n010.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 0.83s 1.61s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of clauses : 93 ( 64 unt; 0 nHn; 33 RR)
% Number of literals : 141 ( 0 equ; 51 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 : 325 ( 169 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c0_CAMeredith,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_CAMeredith) ).
cnf(prove_c0_2,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_2) ).
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(i_0_3,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1)))),
c0_CAMeredith,
[final] ).
cnf(i_0_4,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
prove_c0_2,
[final] ).
cnf(i_0_5,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment,
[final] ).
cnf(i_0_6,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5))
| is_a_theorem(implies(implies(X5,X1),implies(X3,X1))) ),
inference(scs_inference,[],[i_0_3,i_0_5]) ).
cnf(i_0_7,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_8,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),
inference(scs_inference,[],[i_0_3,i_0_6]) ).
cnf(i_0_9,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1)))),
inference(rename_variables,[],[i_0_3]) ).
cnf(i_0_10,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5))
| is_a_theorem(implies(implies(X5,X1),implies(X3,X1))) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_11,plain,
is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3))),
inference(scs_inference,[],[i_0_3,i_0_9,i_0_6,i_0_5]) ).
cnf(i_0_12,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1)))),
inference(rename_variables,[],[i_0_3]) ).
cnf(i_0_13,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_14,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(falsehood,X3))),
inference(scs_inference,[],[i_0_11,i_0_6]) ).
cnf(i_0_15,plain,
is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3))),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_16,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5))
| is_a_theorem(implies(implies(X5,X1),implies(X3,X1))) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_17,plain,
is_a_theorem(implies(X1,implies(implies(falsehood,X2),implies(X3,implies(falsehood,X2))))),
inference(scs_inference,[],[i_0_8,i_0_11,i_0_15,i_0_6,i_0_5]) ).
cnf(i_0_18,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_19,plain,
is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3))),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_20,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_21,plain,
is_a_theorem(implies(implies(implies(implies(falsehood,X1),implies(X2,implies(falsehood,X1))),X3),implies(X4,X3))),
inference(scs_inference,[],[i_0_17,i_0_6]) ).
cnf(i_0_22,plain,
is_a_theorem(implies(X1,implies(implies(falsehood,X2),implies(X3,implies(falsehood,X2))))),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_23,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5))
| is_a_theorem(implies(implies(X5,X1),implies(X3,X1))) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_24,plain,
is_a_theorem(implies(implies(falsehood,X1),implies(X2,implies(falsehood,X1)))),
inference(scs_inference,[],[i_0_17,i_0_22,i_0_14,i_0_6,i_0_5]) ).
cnf(i_0_25,plain,
is_a_theorem(implies(X1,implies(implies(falsehood,X2),implies(X3,implies(falsehood,X2))))),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_26,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_27,plain,
is_a_theorem(implies(implies(implies(falsehood,X1),X2),implies(X3,X2))),
inference(scs_inference,[],[i_0_14,i_0_6]) ).
cnf(i_0_28,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(falsehood,X3))),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_29,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5))
| is_a_theorem(implies(implies(X5,X1),implies(X3,X1))) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_30,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(falsehood,implies(falsehood,X4)))))),
inference(scs_inference,[],[i_0_21,i_0_11,i_0_14,i_0_6,i_0_5]) ).
cnf(i_0_31,plain,
is_a_theorem(implies(implies(implies(implies(falsehood,X1),implies(X2,implies(falsehood,X1))),X3),implies(X4,X3))),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_32,plain,
is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3))),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_33,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_34,plain,
is_a_theorem(implies(X1,implies(implies(implies(falsehood,X2),X3),implies(X4,X3)))),
inference(scs_inference,[],[i_0_3,i_0_11,i_0_5]) ).
cnf(i_0_35,plain,
is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3))),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_36,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1)))),
inference(rename_variables,[],[i_0_3]) ).
cnf(i_0_37,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_38,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X1),X2),implies(X3,X2)),X4),implies(X5,X4))),
inference(scs_inference,[],[i_0_34,i_0_6]) ).
cnf(i_0_39,plain,
is_a_theorem(implies(X1,implies(implies(implies(falsehood,X2),X3),implies(X4,X3)))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_40,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5))
| is_a_theorem(implies(implies(X5,X1),implies(X3,X1))) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_41,plain,
is_a_theorem(implies(X1,implies(falsehood,implies(implies(implies(falsehood,X2),X3),implies(X4,X3))))),
inference(scs_inference,[],[i_0_34,i_0_39,i_0_24,i_0_6,i_0_5]) ).
cnf(i_0_42,plain,
is_a_theorem(implies(implies(falsehood,X1),implies(X2,implies(falsehood,X1)))),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_43,plain,
is_a_theorem(implies(X1,implies(implies(implies(falsehood,X2),X3),implies(X4,X3)))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_44,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_45,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(falsehood,X3)),implies(X4,implies(falsehood,X3)))),
inference(scs_inference,[],[i_0_38,i_0_6]) ).
cnf(i_0_46,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X1),X2),implies(X3,X2)),X4),implies(X5,X4))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_47,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5))
| is_a_theorem(implies(implies(X5,X1),implies(X3,X1))) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_48,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))),
inference(scs_inference,[],[i_0_38,i_0_46,i_0_8,i_0_6,i_0_5]) ).
cnf(i_0_49,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_50,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X1),X2),implies(X3,X2)),X4),implies(X5,X4))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_51,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_52,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,implies(X1,X2))),X4),implies(X5,X4))),
inference(scs_inference,[],[i_0_48,i_0_6]) ).
cnf(i_0_53,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_54,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5))
| is_a_theorem(implies(implies(X5,X1),implies(X3,X1))) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_55,plain,
is_a_theorem(implies(X1,implies(falsehood,implies(implies(X2,X3),implies(X4,implies(X2,X3)))))),
inference(scs_inference,[],[i_0_48,i_0_53,i_0_24,i_0_6,i_0_5]) ).
cnf(i_0_56,plain,
is_a_theorem(implies(implies(falsehood,X1),implies(X2,implies(falsehood,X1)))),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_57,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_58,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_59,plain,
is_a_theorem(implies(X1,implies(falsehood,X2))),
inference(scs_inference,[],[i_0_52,i_0_45,i_0_5]) ).
cnf(i_0_60,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(falsehood,X3)),implies(X4,implies(falsehood,X3)))),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_61,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,implies(X1,X2))),X4),implies(X5,X4))),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_62,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_63,plain,
is_a_theorem(implies(falsehood,X1)),
inference(scs_inference,[],[i_0_3,i_0_59,i_0_5]) ).
cnf(i_0_64,plain,
is_a_theorem(implies(X1,implies(falsehood,X2))),
inference(rename_variables,[],[i_0_59]) ).
cnf(i_0_65,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_66,plain,
~ is_a_theorem(falsehood),
inference(scs_inference,[],[i_0_63,i_0_4,i_0_5]) ).
cnf(i_0_67,plain,
is_a_theorem(implies(falsehood,X1)),
inference(rename_variables,[],[i_0_63]) ).
cnf(i_0_68,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_69,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X4,X3),implies(X5,X3)))))),
inference(scs_inference,[],[i_0_8,i_0_52,i_0_5]) ).
cnf(i_0_70,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,implies(X1,X2))),X4),implies(X5,X4))),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_71,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_72,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_73,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3))))),
inference(scs_inference,[],[i_0_8,i_0_38,i_0_5]) ).
cnf(i_0_74,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X1),X2),implies(X3,X2)),X4),implies(X5,X4))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_75,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_76,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_77,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X2))),X4),implies(X5,X4))),
inference(scs_inference,[],[i_0_8,i_0_38,i_0_5,i_0_6]) ).
cnf(i_0_78,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5))
| is_a_theorem(implies(implies(X5,X1),implies(X3,X1))) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_79,plain,
is_a_theorem(implies(X1,implies(X2,implies(falsehood,X3)))),
inference(scs_inference,[],[i_0_8,i_0_11,i_0_5]) ).
cnf(i_0_80,plain,
is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3))),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_81,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_82,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_83,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(scs_inference,[],[i_0_11,i_0_73,i_0_5]) ).
cnf(i_0_84,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3))))),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_85,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_86,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3))),
inference(scs_inference,[],[i_0_11,i_0_73,i_0_5,i_0_6]) ).
cnf(i_0_87,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5))
| is_a_theorem(implies(implies(X5,X1),implies(X3,X1))) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_88,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(falsehood,X5)))))),
inference(scs_inference,[],[i_0_11,i_0_86,i_0_5]) ).
cnf(i_0_89,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3))),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_90,plain,
is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3))),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_91,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_92,plain,
$false,
inference(scs_inference,[],[i_0_11,i_0_83,i_0_4,i_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL033-1 : 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 : n010.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 21:52:21 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 0.83/1.61 % Version : CSE_E---1.7
% 0.83/1.61 % Problem : theBenchmark.p
% 0.83/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.83/1.61 % SZS output start CNFRefutation
% See solution above
% 0.94/1.71 % Total time : 1.270s
%------------------------------------------------------------------------------