%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL224-3 : 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 : n006.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 04:39:47 PM UTC 2026
% Result : Unsatisfiable 235.02s 100.73s
% Output : CNFRefutation 235.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_10)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(or(p,implies(q,r)),implies(or(p,q),or(p,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
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_9,negated_conjecture,
~ theorem(implies(or(p,implies(q,r)),implies(or(p,q),or(p,r)))),
prove_this ).
cnf(i_0_10,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(i_0_11,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(i_0_12,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(i_0_13,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(i_0_14,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(i_0_15,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(i_0_16,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(i_0_17,negated_conjecture,
~ theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_9,c_0_10]),c_0_10]),c_0_10]),
[final] ).
cnf(i_0_18,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_11,c_0_10]),c_0_10]),c_0_10]),
[final] ).
cnf(i_0_19,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[i_0_12,c_0_10]),
[final] ).
cnf(i_0_20,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[i_0_13,c_0_10]),
[final] ).
cnf(i_0_21,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[i_0_14,c_0_10]),
[final] ).
cnf(i_0_22,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[i_0_15,c_0_10]),
[final] ).
cnf(i_0_23,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[i_0_16,c_0_10]),
[final] ).
cnf(i_0_24,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1,
[final] ).
cnf(i_0_324,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_345,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_348,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_363,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_366,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_375,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_378,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_381,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_408,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_411,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_414,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_441,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_444,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_486,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_489,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_537,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_540,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_543,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_558,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_567,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_591,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_594,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_600,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_606,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_641,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_25,i_0_27]) ).
cnf(i_0_824,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r))))),
inference(scs_inference,[],[i_0_17,i_0_34,i_0_24,i_0_23]) ).
cnf(i_0_826,plain,
~ theorem(or(not(or(X1,or(p,or(not(q),r)))),or(not(or(p,q)),or(p,r)))),
inference(scs_inference,[],[i_0_17,i_0_34,i_0_24,i_0_23,i_0_27]) ).
cnf(i_0_841,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r))))),
inference(scs_inference,[],[i_0_17,i_0_29,i_0_24,i_0_23]) ).
cnf(i_0_843,plain,
~ theorem(or(not(or(or(not(q),r),p)),or(not(or(p,q)),or(p,r)))),
inference(scs_inference,[],[i_0_17,i_0_29,i_0_24,i_0_23,i_0_27]) ).
cnf(i_0_1124,plain,
~ axiom(or(not(or(p,q)),or(p,r))),
inference(scs_inference,[],[i_0_36,i_0_24]) ).
cnf(i_0_1128,plain,
~ axiom(or(not(or(p,q)),or(p,r))),
inference(scs_inference,[],[i_0_36,i_0_24]) ).
cnf(i_0_1132,plain,
~ axiom(or(not(or(p,q)),or(p,r))),
inference(scs_inference,[],[i_0_36,i_0_24]) ).
cnf(i_0_45,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(scs_inference,[],[i_0_38,i_0_27]) ).
cnf(i_0_47,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(scs_inference,[],[i_0_38,i_0_19,i_0_27,i_0_24]) ).
cnf(i_0_49,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(scs_inference,[],[i_0_40,i_0_27]) ).
cnf(i_0_56,plain,
~ theorem(or(not(or(p,q)),or(r,p))),
inference(scs_inference,[],[i_0_36,i_0_31,i_0_23]) ).
cnf(i_0_57,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_62,plain,
~ theorem(or(not(or(p,q)),r)),
inference(scs_inference,[],[i_0_36,i_0_38,i_0_23]) ).
cnf(i_0_63,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_74,plain,
~ theorem(or(or(not(or(p,q)),or(p,r)),or(not(or(p,q)),or(p,r)))),
inference(scs_inference,[],[i_0_36,i_0_40,i_0_23]) ).
cnf(i_0_75,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_80,plain,
~ theorem(or(r,not(q))),
inference(scs_inference,[],[i_0_42,i_0_29,i_0_23]) ).
cnf(i_0_83,plain,
~ theorem(r),
inference(scs_inference,[],[i_0_42,i_0_34,i_0_23]) ).
cnf(i_0_86,plain,
~ theorem(or(or(not(q),r),or(not(q),r))),
inference(scs_inference,[],[i_0_42,i_0_40,i_0_23]) ).
cnf(i_0_87,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_93,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_99,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_117,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_126,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_158,plain,
~ theorem(not(or(p,q))),
inference(scs_inference,[],[i_0_65,i_0_34,i_0_23]) ).
cnf(i_0_162,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_168,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_174,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_189,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_195,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_201,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_210,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_213,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_246,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_255,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_273,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_276,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_321,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_330,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_351,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_369,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_384,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_393,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_420,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_423,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_450,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_453,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_465,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_474,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_492,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_495,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_507,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_519,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_522,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_534,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_564,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_582,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_603,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_621,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(scs_inference,[],[i_0_31,i_0_27]) ).
cnf(i_0_646,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_641,i_0_27]) ).
cnf(i_0_648,plain,
~ theorem(or(not(or(p,or(not(q),r))),or(not(q),r))),
inference(scs_inference,[],[i_0_641,i_0_17,i_0_27,i_0_23]) ).
cnf(i_0_649,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_641]) ).
cnf(i_0_792,plain,
~ theorem(or(not(or(p,or(X1,or(not(q),r)))),or(not(or(p,q)),or(p,r)))),
inference(scs_inference,[],[i_0_17,i_0_38,i_0_24,i_0_23,i_0_27]) ).
cnf(i_0_804,plain,
~ theorem(or(not(or(p,or(r,not(q)))),or(not(or(p,q)),or(p,r)))),
inference(scs_inference,[],[i_0_17,i_0_31,i_0_24,i_0_23,i_0_27]) ).
cnf(i_0_828,plain,
~ theorem(or(not(or(p,or(not(q),r))),or(p,r))),
inference(scs_inference,[],[i_0_826,i_0_27]) ).
cnf(i_0_829,plain,
~ theorem(or(not(or(X1,or(p,or(not(q),r)))),or(not(or(p,q)),or(p,r)))),
inference(rename_variables,[],[i_0_826]) ).
cnf(i_0_831,plain,
~ axiom(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
inference(scs_inference,[],[i_0_17,i_0_826,i_0_27,i_0_24]) ).
cnf(i_0_917,plain,
~ axiom(or(p,r)),
inference(scs_inference,[],[i_0_71,i_0_24]) ).
cnf(i_0_1201,plain,
~ theorem(or(not(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),or(not(q),r))),
inference(scs_inference,[],[i_0_42,i_0_641,i_0_23]) ).
cnf(i_0_51,plain,
theorem(or(not(or(X1,or(X2,or(X3,X3)))),or(X1,or(X2,X3)))),
inference(scs_inference,[],[i_0_49,i_0_27]) ).
cnf(i_0_59,plain,
~ theorem(or(not(or(p,q)),or(or(p,r),or(p,r)))),
inference(scs_inference,[],[i_0_36,i_0_49,i_0_23]) ).
cnf(i_0_60,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_49]) ).
cnf(i_0_68,plain,
~ theorem(or(p,or(not(or(p,q)),r))),
inference(scs_inference,[],[i_0_36,i_0_47,i_0_23]) ).
cnf(i_0_69,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_47]) ).
cnf(c_0_851,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_23 ).
cnf(c_0_852,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
i_0_47 ).
cnf(c_0_853,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_851,c_0_852]) ).
cnf(c_0_854,plain,
theorem(or(not(or(X1,or(X2,or(X3,X3)))),or(X1,or(X2,X3)))),
i_0_51 ).
cnf(c_0_855,plain,
theorem(or(X1,or(not(or(X1,or(X2,or(X3,X3)))),or(X2,X3)))),
inference(spm,[status(thm)],[c_0_853,c_0_854]) ).
cnf(c_0_856,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
i_0_324 ).
cnf(c_0_857,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
i_0_45 ).
cnf(c_0_858,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r))))),
i_0_841 ).
cnf(c_0_859,plain,
( theorem(or(not(or(not(X1),or(X2,or(X3,X3)))),or(X2,X3)))
| ~ theorem(X1) ),
inference(spm,[status(thm)],[c_0_851,c_0_855]) ).
cnf(c_0_860,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_851,c_0_856]) ).
cnf(c_0_861,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X1,or(X2,X4))) ),
inference(spm,[status(thm)],[c_0_851,c_0_857]) ).
cnf(c_0_862,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
i_0_621 ).
cnf(c_0_863,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
i_0_57 ).
cnf(c_0_864,plain,
~ theorem(or(or(or(not(or(p,q)),or(p,r)),or(not(or(p,q)),or(p,r))),not(or(p,or(not(q),r))))),
inference(spm,[status(thm)],[c_0_858,c_0_859]) ).
cnf(c_0_865,plain,
( theorem(or(or(X1,or(X2,X3)),X4))
| ~ theorem(or(X4,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_860,c_0_861]) ).
cnf(c_0_866,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X1,or(X2,or(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_851,c_0_862]) ).
cnf(c_0_867,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_851,c_0_863]) ).
cnf(c_0_868,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
i_0_641 ).
cnf(c_0_869,plain,
~ theorem(or(not(or(p,or(not(q),r))),or(or(not(or(p,q)),or(p,r)),or(p,r)))),
inference(spm,[status(thm)],[c_0_864,c_0_865]) ).
cnf(c_0_870,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X1,or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_866,c_0_861]) ).
cnf(c_0_871,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(or(not(or(X4,X2)),or(X4,X3)),X1))),
inference(spm,[status(thm)],[c_0_867,c_0_868]) ).
cnf(c_0_872,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_869,c_0_870]),c_0_871])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL224-3 : 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
% 0.16/0.34 % Computer : n006.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 22:12:31 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 235.02/100.73 % Version : CSE_E---1.7
% 235.02/100.73 % Problem : theBenchmark.p
% 235.02/100.73 % SZS status Unsatisfiable for theBenchmark.p
% 235.02/100.73 % SZS output start CNFRefutation
% See solution above
% 235.82/101.53 % Total time : 98.371s
%------------------------------------------------------------------------------