%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL335-3 : TPTP v9.2.1. Released v2.3.0.
% 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 : n025.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 04:40:03 PM UTC 2026
% Result : Unsatisfiable 174.12s 93.72s
% Output : CNFRefutation 175.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_12)
% Comments :
%------------------------------------------------------------------------------
cnf(equivalent_defn,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax',and_defn) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(and(implies(p,q),implies(q,r)),implies(p,equivalent(q,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(i_0_11,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
equivalent_defn ).
cnf(i_0_12,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(i_0_13,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(i_0_14,negated_conjecture,
~ theorem(implies(and(implies(p,q),implies(q,r)),implies(p,equivalent(q,r)))),
prove_this ).
cnf(i_0_15,plain,
equivalent(X1,X2) = not(or(not(or(not(X1),X2)),not(or(not(X2),X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_11,c_0_12]),c_0_12]),c_0_13]) ).
cnf(i_0_16,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(i_0_17,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(i_0_18,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(i_0_19,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(i_0_20,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(i_0_21,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(i_0_22,negated_conjecture,
~ theorem(or(not(not(or(not(or(not(p),q)),not(or(not(q),r))))),or(not(p),not(or(not(or(not(q),r)),not(or(not(r),q))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_14,c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_13]),c_0_15]),
[final] ).
cnf(i_0_23,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_16,c_0_12]),c_0_12]),c_0_12]),
[final] ).
cnf(i_0_24,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[i_0_17,c_0_12]),
[final] ).
cnf(i_0_25,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[i_0_18,c_0_12]),
[final] ).
cnf(i_0_26,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[i_0_19,c_0_12]),
[final] ).
cnf(i_0_27,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[i_0_20,c_0_12]),
[final] ).
cnf(i_0_28,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[i_0_21,c_0_12]),
[final] ).
cnf(i_0_29,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1,
[final] ).
cnf(i_0_30,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(scs_inference,[],[i_0_23,i_0_29]) ).
cnf(i_0_34,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(scs_inference,[],[i_0_30,i_0_32]) ).
cnf(i_0_36,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(scs_inference,[],[i_0_30,i_0_25,i_0_32,i_0_29]) ).
cnf(i_0_38,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(scs_inference,[],[i_0_30,i_0_25,i_0_32,i_0_29,i_0_28]) ).
cnf(i_0_39,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_221,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_232,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_243,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_271,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_275,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_287,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_291,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_314,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_325,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_366,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_377,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_388,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_439,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_455,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_461,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_472,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_483,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_489,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_535,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_556,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_572,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_603,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_614,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_620,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_631,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_642,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_648,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_659,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_675,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_686,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_697,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_718,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_724,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_760,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_776,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_41,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(scs_inference,[],[i_0_38,i_0_32]) ).
cnf(i_0_43,plain,
theorem(or(not(X1),or(X2,X1))),
inference(scs_inference,[],[i_0_38,i_0_27,i_0_32,i_0_29]) ).
cnf(i_0_45,plain,
theorem(or(not(or(not(X1),or(X2,X3))),or(not(or(X4,X1)),or(X4,or(X3,X2))))),
inference(scs_inference,[],[i_0_38,i_0_34,i_0_27,i_0_32,i_0_29,i_0_28]) ).
cnf(i_0_46,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_47,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_67,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_82,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_94,plain,
theorem(or(not(or(X1,or(X2,or(not(X3),X4)))),or(X1,or(X2,or(not(or(X5,X3)),or(X5,X4)))))),
inference(scs_inference,[],[i_0_34,i_0_32]) ).
cnf(i_0_792,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_798,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_803,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_814,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_820,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_826,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_842,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_848,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_859,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_875,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_881,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(c_0_53,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_28 ).
cnf(c_0_54,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
i_0_30 ).
cnf(c_0_55,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,axiom,
( theorem(X1)
| ~ axiom(X1) ),
i_0_29 ).
cnf(c_0_57,plain,
axiom(or(not(or(X1,X1)),X1)),
i_0_26 ).
cnf(c_0_58,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_55]) ).
cnf(c_0_59,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
i_0_36 ).
cnf(c_0_61,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
theorem(or(not(X1),or(X2,X1))),
i_0_43 ).
cnf(c_0_63,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_60]) ).
cnf(c_0_64,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_66,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
i_0_38 ).
cnf(c_0_67,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
i_0_24 ).
cnf(c_0_68,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_58,c_0_65]) ).
cnf(c_0_69,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_53,c_0_66]) ).
cnf(c_0_70,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(spm,[status(thm)],[c_0_56,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
~ theorem(or(not(not(or(not(or(not(p),q)),not(or(not(q),r))))),or(not(p),not(or(not(or(not(q),r)),not(or(not(r),q))))))),
i_0_22 ).
cnf(c_0_72,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_63,c_0_68]) ).
cnf(c_0_73,plain,
theorem(or(not(or(X1,or(X2,X3))),or(or(X1,X3),X2))),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
~ theorem(or(or(not(p),not(or(not(or(not(q),r)),not(or(not(r),q))))),or(not(or(not(p),q)),not(or(not(q),r))))),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_53,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
~ theorem(or(not(p),or(or(not(or(not(p),q)),not(or(not(q),r))),not(or(not(or(not(q),r)),not(or(not(r),q))))))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_77,plain,
( theorem(or(X1,or(or(X2,X3),X4)))
| ~ theorem(or(X1,or(X2,or(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_58,c_0_73]) ).
cnf(c_0_78,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_53,c_0_70]) ).
cnf(c_0_79,plain,
~ theorem(or(not(p),or(not(or(not(p),q)),or(not(or(not(or(not(q),r)),not(or(not(r),q)))),not(or(not(q),r)))))),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,plain,
( theorem(or(X1,or(not(or(X1,X2)),X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_78,c_0_55]) ).
cnf(c_0_81,plain,
( theorem(or(not(or(X1,X2)),or(X3,X1)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_69,c_0_55]) ).
cnf(c_0_82,plain,
~ theorem(or(not(q),or(not(or(not(or(not(q),r)),not(or(not(r),q)))),not(or(not(q),r))))),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,plain,
( theorem(or(X1,or(not(or(X2,X3)),X2)))
| ~ theorem(or(not(X3),X1)) ),
inference(spm,[status(thm)],[c_0_78,c_0_81]) ).
cnf(c_0_84,plain,
~ theorem(or(not(not(or(not(r),q))),not(q))),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_85,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_72]),c_0_62])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL335-3 : TPTP v9.2.1. Released v2.3.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n025.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 22:24:13 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 174.12/93.72 % Version : CSE_E---1.7
% 174.12/93.72 % Problem : theBenchmark.p
% 174.12/93.72 % SZS status Unsatisfiable for theBenchmark.p
% 174.12/93.72 % SZS output start CNFRefutation
% See solution above
% 175.01/94.62 % Total time : 92.487s
%------------------------------------------------------------------------------