%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL254-3 : 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 : n009.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 04:39:54 PM UTC 2026
% Result : Unsatisfiable 128.64s 80.85s
% Output : CNFRefutation 129.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_11)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(and(implies(p,r),implies(q,s)),implies(and(p,q),and(r,s)))),
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(implies(p,r),implies(q,s)),implies(and(p,q),and(r,s)))),
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(or(not(p),r)),not(or(not(q),s))))),or(not(not(or(not(p),not(q)))),not(or(not(r),not(s)))))),
inference(rw,[status(thm)],[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_10,c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_12]),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_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_195,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_272,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_280,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_296,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_302,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_354,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_365,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_376,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_387,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_408,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_414,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_440,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_446,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_458,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_514,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_536,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_553,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_562,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_574,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_587,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_597,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_604,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_614,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_624,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_686,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_699,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_716,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_740,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_64,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_78,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_159,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_322,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_776,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_780,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_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_31]) ).
cnf(i_0_796,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_800,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_807,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_811,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_822,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_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_31]) ).
cnf(i_0_830,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_837,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_841,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_845,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_849,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_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_31]) ).
cnf(i_0_863,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_872,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_885,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_889,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_907,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_926,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_930,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_934,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_938,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_949,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_955,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(c_0_53,axiom,
( theorem(X1)
| ~ axiom(X1) ),
i_0_26 ).
cnf(c_0_54,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
i_0_21 ).
cnf(c_0_55,plain,
axiom(or(not(or(X1,X1)),X1)),
i_0_23 ).
cnf(c_0_56,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_25 ).
cnf(c_0_57,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(spm,[status(thm)],[c_0_53,c_0_55]) ).
cnf(c_0_59,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,plain,
theorem(or(not(X1),or(X2,X1))),
i_0_40 ).
cnf(c_0_61,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
i_0_27 ).
cnf(c_0_62,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
i_0_33 ).
cnf(c_0_63,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_58]) ).
cnf(c_0_64,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_56,c_0_61]) ).
cnf(c_0_66,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_62]) ).
cnf(c_0_67,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_56,c_0_65]) ).
cnf(c_0_69,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
i_0_35 ).
cnf(c_0_71,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_56,c_0_70]) ).
cnf(c_0_73,negated_conjecture,
~ theorem(or(not(not(or(not(or(not(p),r)),not(or(not(q),s))))),or(not(not(or(not(p),not(q)))),not(or(not(r),not(s)))))),
i_0_19 ).
cnf(c_0_74,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_66,c_0_71]) ).
cnf(c_0_75,plain,
theorem(or(not(or(X1,or(X2,X3))),or(or(X1,X3),X2))),
inference(spm,[status(thm)],[c_0_72,c_0_57]) ).
cnf(c_0_76,negated_conjecture,
~ theorem(or(or(not(not(or(not(p),not(q)))),not(or(not(r),not(s)))),or(not(or(not(p),r)),not(or(not(q),s))))),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_56,c_0_75]) ).
cnf(c_0_78,negated_conjecture,
~ theorem(or(not(not(or(not(p),not(q)))),or(or(not(or(not(p),r)),not(or(not(q),s))),not(or(not(r),not(s)))))),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_79,plain,
~ theorem(or(or(or(not(or(not(p),r)),not(or(not(q),s))),not(or(not(r),not(s)))),or(not(p),not(q)))),
inference(spm,[status(thm)],[c_0_78,c_0_74]) ).
cnf(c_0_80,plain,
~ theorem(or(or(not(or(not(p),r)),not(or(not(q),s))),or(or(not(p),not(q)),not(or(not(r),not(s)))))),
inference(spm,[status(thm)],[c_0_79,c_0_77]) ).
cnf(c_0_81,plain,
( theorem(or(X1,or(or(X2,X3),X4)))
| ~ theorem(or(X1,or(X2,or(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_68,c_0_75]) ).
cnf(c_0_82,plain,
~ theorem(or(or(not(or(not(p),r)),not(or(not(q),s))),or(not(p),or(not(or(not(r),not(s))),not(q))))),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_83,plain,
~ theorem(or(not(or(not(p),r)),or(or(not(p),or(not(or(not(r),not(s))),not(q))),not(or(not(q),s))))),
inference(spm,[status(thm)],[c_0_82,c_0_77]) ).
cnf(c_0_84,plain,
theorem(or(not(or(not(X1),or(X2,X3))),or(not(or(X4,X1)),or(X4,or(X3,X2))))),
i_0_42 ).
cnf(c_0_85,plain,
~ theorem(or(not(or(not(p),r)),or(not(p),or(not(or(not(q),s)),or(not(or(not(r),not(s))),not(q)))))),
inference(spm,[status(thm)],[c_0_83,c_0_81]) ).
cnf(c_0_86,plain,
( theorem(or(not(or(X1,X2)),or(X1,or(X3,X4))))
| ~ theorem(or(not(X2),or(X4,X3))) ),
inference(spm,[status(thm)],[c_0_56,c_0_84]) ).
cnf(c_0_87,plain,
~ theorem(or(not(r),or(or(not(or(not(r),not(s))),not(q)),not(or(not(q),s))))),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_88,plain,
~ theorem(or(not(r),or(not(or(not(r),not(s))),or(not(or(not(q),s)),not(q))))),
inference(spm,[status(thm)],[c_0_87,c_0_81]) ).
cnf(c_0_89,plain,
( theorem(or(X1,or(not(or(X1,X2)),X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_59,c_0_65]) ).
cnf(c_0_90,plain,
theorem(or(X1,or(not(or(X2,X1)),X2))),
inference(spm,[status(thm)],[c_0_59,c_0_62]) ).
cnf(c_0_91,plain,
~ theorem(or(not(not(s)),or(not(or(not(q),s)),not(q)))),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_92,plain,
theorem(or(or(not(or(X1,X2)),X1),X2)),
inference(spm,[status(thm)],[c_0_66,c_0_90]) ).
cnf(c_0_93,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_74]),c_0_92])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL254-3 : 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
% 0.16/0.33 % Computer : n009.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 22:18:11 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 128.64/80.85 % Version : CSE_E---1.7
% 128.64/80.85 % Problem : theBenchmark.p
% 128.64/80.85 % SZS status Unsatisfiable for theBenchmark.p
% 128.64/80.85 % SZS output start CNFRefutation
% See solution above
% 129.23/81.49 % Total time : 80.213s
%------------------------------------------------------------------------------