%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL319-3 : TPTP v9.2.1. Released v2.3.0.
% 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 : n022.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 04:40:01 PM UTC 2026
% Result : Unsatisfiable 195.80s 94.47s
% Output : CNFRefutation 196.69s
% 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/sandbox2/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(and(p,q),equivalent(p,q))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox2/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(p,q),equivalent(p,q))),
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(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_14,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_1684,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1686,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1694,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1698,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1702,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1706,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1710,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1714,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1718,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1722,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1726,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1730,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1734,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1738,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,i_0_29]) ).
cnf(i_0_1742,plain,
~ axiom(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(scs_inference,[],[i_0_22,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_132,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_153,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_237,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(X1,or(not(X2),X3))),or(or(not(or(X4,X2)),or(X4,X3)),X1))),
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(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_53,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_66,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_81,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_99,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_177,plain,
theorem(or(not(or(not(X1),X2)),or(or(X3,X2),not(or(X3,X1))))),
inference(scs_inference,[],[i_0_30,i_0_38,i_0_28]) ).
cnf(i_0_178,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_180,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(or(X4,X3),not(or(X4,X2)))))),
inference(scs_inference,[],[i_0_30,i_0_38,i_0_28,i_0_32]) ).
cnf(i_0_187,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,or(X4,X1))),or(X3,or(X4,X2))))),
inference(scs_inference,[],[i_0_30,i_0_34,i_0_28]) ).
cnf(i_0_188,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_190,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,or(X5,X2))),or(X4,or(X5,X3)))))),
inference(scs_inference,[],[i_0_30,i_0_34,i_0_28,i_0_32]) ).
cnf(i_0_326,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_334,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_340,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_346,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_357,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_368,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_374,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_384,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_390,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_395,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_396,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_418,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_430,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_436,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_442,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_448,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_454,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_460,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_469,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_478,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_484,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_493,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_499,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_505,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_512,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_521,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_535,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_541,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_547,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_551,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_562,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_588,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_640,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_653,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_659,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_665,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_674,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_737,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_743,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_752,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_771,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_784,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_795,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_801,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_839,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_862,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_868,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_874,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_890,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_949,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_963,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_969,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_975,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_991,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_997,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_1003,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_1014,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1019,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_1020,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1026,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1038,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1066,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1072,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1112,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1132,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1138,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1144,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1150,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1162,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1168,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1174,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1185,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1255,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1273,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1300,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1306,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1312,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1318,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1334,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1340,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1351,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1362,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1374,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1380,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1386,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1474,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1502,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1513,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1519,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(c_0_52,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_28 ).
cnf(c_0_53,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
i_0_30 ).
cnf(c_0_54,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,axiom,
( theorem(X1)
| ~ axiom(X1) ),
i_0_29 ).
cnf(c_0_56,plain,
axiom(or(not(or(X1,X1)),X1)),
i_0_26 ).
cnf(c_0_57,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_52,c_0_54]) ).
cnf(c_0_58,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
i_0_36 ).
cnf(c_0_60,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
theorem(or(not(X1),or(X2,X1))),
i_0_43 ).
cnf(c_0_62,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_59]) ).
cnf(c_0_63,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_65,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
i_0_38 ).
cnf(c_0_66,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_57,c_0_64]) ).
cnf(c_0_67,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_52,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
~ theorem(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
i_0_22 ).
cnf(c_0_69,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_62,c_0_66]) ).
cnf(c_0_70,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X2,X4)))
| ~ theorem(or(not(X4),X3)) ),
inference(spm,[status(thm)],[c_0_57,c_0_54]) ).
cnf(c_0_71,plain,
( theorem(or(not(or(X1,X2)),or(X3,X1)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_67,c_0_54]) ).
cnf(c_0_72,negated_conjecture,
~ theorem(or(not(or(not(or(not(p),q)),not(or(not(q),p)))),or(not(p),not(q)))),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,plain,
( theorem(or(not(or(X1,X2)),or(X3,X4)))
| ~ theorem(or(not(X1),X4))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( ~ theorem(or(not(not(or(not(p),q))),not(q)))
| ~ theorem(or(not(not(or(not(q),p))),not(p))) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_75,plain,
~ theorem(or(not(not(or(not(p),q))),not(q))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_69]),c_0_61])]) ).
cnf(c_0_76,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_69]),c_0_61])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL319-3 : TPTP v9.2.1. Released v2.3.0.
% 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
% 0.17/0.33 % Computer : n022.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 22:24:36 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 195.80/94.47 % Version : CSE_E---1.7
% 195.80/94.47 % Problem : theBenchmark.p
% 195.80/94.47 % SZS status Unsatisfiable for theBenchmark.p
% 195.80/94.47 % SZS output start CNFRefutation
% See solution above
% 196.69/95.31 % Total time : 93.086s
%------------------------------------------------------------------------------