%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL332-3 : 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 : n007.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 201.14s 83.70s
% Output : CNFRefutation 202.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_11)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(and(r,implies(p,q)),implies(p,and(q,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
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(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_10,negated_conjecture,
~ theorem(implies(and(r,implies(p,q)),implies(p,and(q,r)))),
prove_this ).
cnf(i_0_11,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(i_0_12,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(i_0_13,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(i_0_14,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(i_0_15,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(i_0_16,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(i_0_17,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(i_0_18,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(i_0_19,negated_conjecture,
~ theorem(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_10,c_0_11]),c_0_11]),c_0_11]),c_0_12]),c_0_12]),
[final] ).
cnf(i_0_20,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_13,c_0_11]),c_0_11]),c_0_11]),
[final] ).
cnf(i_0_21,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[i_0_14,c_0_11]),
[final] ).
cnf(i_0_22,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[i_0_15,c_0_11]),
[final] ).
cnf(i_0_23,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[i_0_16,c_0_11]),
[final] ).
cnf(i_0_24,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[i_0_17,c_0_11]),
[final] ).
cnf(i_0_25,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[i_0_18,c_0_11]),
[final] ).
cnf(i_0_26,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1,
[final] ).
cnf(i_0_27,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(scs_inference,[],[i_0_20,i_0_26]) ).
cnf(i_0_1479,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1483,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1487,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1491,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1493,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1495,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1497,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1501,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1503,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1505,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1507,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1513,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1515,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1517,plain,
~ axiom(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_31,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_27,i_0_29]) ).
cnf(i_0_33,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(scs_inference,[],[i_0_27,i_0_22,i_0_29,i_0_26]) ).
cnf(i_0_35,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(scs_inference,[],[i_0_27,i_0_22,i_0_29,i_0_26,i_0_25]) ).
cnf(i_0_36,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_121,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_129,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_38,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(scs_inference,[],[i_0_35,i_0_29]) ).
cnf(i_0_40,plain,
theorem(or(not(X1),or(X2,X1))),
inference(scs_inference,[],[i_0_35,i_0_24,i_0_29,i_0_26]) ).
cnf(i_0_42,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_35,i_0_31,i_0_24,i_0_29,i_0_26,i_0_25]) ).
cnf(i_0_43,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_31]) ).
cnf(i_0_44,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_58,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_31]) ).
cnf(i_0_68,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_31,i_0_29]) ).
cnf(i_0_325,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_31]) ).
cnf(i_0_336,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_31]) ).
cnf(i_0_340,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_344,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_348,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_366,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_372,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_378,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_384,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_390,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_396,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_428,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_440,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_449,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_456,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_463,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_469,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_475,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_484,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_500,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_509,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_513,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_517,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_521,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_543,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_549,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_555,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_561,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_567,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_573,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_579,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_585,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_591,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_597,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_603,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_630,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_656,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_668,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_685,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_691,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_702,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_708,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_729,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_740,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_746,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_763,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_769,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_775,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_792,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_809,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_815,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_826,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_832,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_838,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_849,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_871,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_877,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_893,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_914,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_921,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_927,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_944,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_950,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_976,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_982,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_988,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_999,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1005,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1016,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1022,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1028,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1040,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1046,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1052,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1073,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1109,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1115,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1131,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1137,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1158,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1164,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1175,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1181,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1197,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1213,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1219,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1262,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1284,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1299,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_1307,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(c_0_50,axiom,
( theorem(X1)
| ~ axiom(X1) ),
i_0_26 ).
cnf(c_0_51,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
i_0_21 ).
cnf(c_0_52,plain,
axiom(or(not(or(X1,X1)),X1)),
i_0_23 ).
cnf(c_0_53,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_25 ).
cnf(c_0_54,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(spm,[status(thm)],[c_0_50,c_0_52]) ).
cnf(c_0_56,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
theorem(or(not(X1),or(X2,X1))),
i_0_40 ).
cnf(c_0_58,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
i_0_27 ).
cnf(c_0_59,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
i_0_33 ).
cnf(c_0_60,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_55]) ).
cnf(c_0_61,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_58]) ).
cnf(c_0_63,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_59]) ).
cnf(c_0_64,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_62]) ).
cnf(c_0_66,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
i_0_35 ).
cnf(c_0_68,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
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_67]) ).
cnf(c_0_70,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_63,c_0_68]) ).
cnf(c_0_71,negated_conjecture,
~ theorem(or(not(not(or(not(r),not(or(not(p),q))))),or(not(p),not(or(not(q),not(r)))))),
i_0_19 ).
cnf(c_0_72,plain,
( theorem(or(not(not(X1)),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
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_54]) ).
cnf(c_0_74,negated_conjecture,
~ theorem(or(or(not(or(not(q),not(r))),not(p)),or(not(r),not(or(not(p),q))))),
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,plain,
~ theorem(or(not(or(not(q),not(r))),or(or(not(r),not(or(not(p),q))),not(p)))),
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_65,c_0_73]) ).
cnf(c_0_78,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X2,X4)))
| ~ theorem(or(not(X4),X3)) ),
inference(spm,[status(thm)],[c_0_65,c_0_62]) ).
cnf(c_0_79,plain,
~ theorem(or(not(or(not(q),not(r))),or(not(r),or(not(p),not(or(not(p),q)))))),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,plain,
( theorem(or(not(or(X1,X2)),or(X2,X3)))
| ~ theorem(or(not(X1),X3)) ),
inference(spm,[status(thm)],[c_0_78,c_0_59]) ).
cnf(c_0_81,plain,
theorem(or(X1,or(not(or(X2,X1)),X2))),
inference(spm,[status(thm)],[c_0_56,c_0_59]) ).
cnf(c_0_82,plain,
~ theorem(or(not(not(q)),or(not(p),not(or(not(p),q))))),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,plain,
theorem(or(or(not(or(X1,X2)),X1),X2)),
inference(spm,[status(thm)],[c_0_63,c_0_81]) ).
cnf(c_0_84,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_72]),c_0_83])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL332-3 : TPTP v9.2.1. Released v2.3.0.
% 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
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon May 4 22:23:38 EDT 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % start to proof: theBenchmark
% 201.14/83.70 % Version : CSE_E---1.7
% 201.14/83.70 % Problem : theBenchmark.p
% 201.14/83.70 % SZS status Unsatisfiable for theBenchmark.p
% 201.14/83.70 % SZS output start CNFRefutation
% See solution above
% 202.05/84.64 % Total time : 82.074s
%------------------------------------------------------------------------------