%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL225-3 : 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 : n028.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 04:39:48 PM UTC 2026
% Result : Unsatisfiable 146.94s 83.39s
% Output : CNFRefutation 147.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_10)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(implies(p,implies(q,r)),implies(implies(p,q),implies(p,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(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_9,negated_conjecture,
~ theorem(implies(implies(p,implies(q,r)),implies(implies(p,q),implies(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(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
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_9,c_0_10]),c_0_10]),c_0_10]),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_25,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(scs_inference,[],[i_0_18,i_0_24]) ).
cnf(i_0_429,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_435,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_442,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_448,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_453,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_458,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_460,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_464,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_466,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_468,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_470,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_476,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_478,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_480,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_29,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_31,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(scs_inference,[],[i_0_25,i_0_20,i_0_27,i_0_24]) ).
cnf(i_0_33,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(scs_inference,[],[i_0_25,i_0_20,i_0_27,i_0_24,i_0_23]) ).
cnf(i_0_34,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_36,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(scs_inference,[],[i_0_33,i_0_27]) ).
cnf(i_0_38,plain,
theorem(or(not(X1),or(X2,X1))),
inference(scs_inference,[],[i_0_33,i_0_22,i_0_27,i_0_24]) ).
cnf(i_0_167,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_29,i_0_27]) ).
cnf(i_0_169,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(q),r))),
inference(scs_inference,[],[i_0_29,i_0_17,i_0_27,i_0_23]) ).
cnf(i_0_170,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_29]) ).
cnf(i_0_423,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(or(not(p),r),not(or(not(p),q))))),
inference(scs_inference,[],[i_0_33,i_0_17,i_0_23]) ).
cnf(i_0_424,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_40,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(scs_inference,[],[i_0_38,i_0_27]) ).
cnf(i_0_42,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(scs_inference,[],[i_0_38,i_0_21,i_0_27,i_0_24]) ).
cnf(i_0_60,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_172,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X3,or(X5,X4)))))),
inference(scs_inference,[],[i_0_36,i_0_27]) ).
cnf(i_0_174,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(r,not(p))))),
inference(scs_inference,[],[i_0_36,i_0_17,i_0_27,i_0_23]) ).
cnf(i_0_175,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_516,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(q),r))),
inference(scs_inference,[],[i_0_169,i_0_24]) ).
cnf(i_0_551,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(or(not(p),r),not(or(not(p),q))))),
inference(scs_inference,[],[i_0_423,i_0_24]) ).
cnf(i_0_44,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(scs_inference,[],[i_0_40,i_0_27]) ).
cnf(i_0_46,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(scs_inference,[],[i_0_40,i_0_19,i_0_27,i_0_24]) ).
cnf(i_0_50,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(scs_inference,[],[i_0_42,i_0_27]) ).
cnf(i_0_118,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_132,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_197,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,or(X5,X6)))))),or(X1,or(X2,or(X3,or(X4,or(X6,X5))))))),
inference(scs_inference,[],[i_0_172,i_0_27]) ).
cnf(i_0_543,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(r,not(p))))),
inference(scs_inference,[],[i_0_174,i_0_24]) ).
cnf(i_0_48,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X3,or(X5,X4)))))),
inference(scs_inference,[],[i_0_44,i_0_27]) ).
cnf(i_0_52,plain,
theorem(or(not(or(X1,or(X2,or(X3,X3)))),or(X1,or(X2,X3)))),
inference(scs_inference,[],[i_0_50,i_0_27]) ).
cnf(i_0_56,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X3,or(X2,X4))))),
inference(scs_inference,[],[i_0_46,i_0_27]) ).
cnf(i_0_211,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,or(X5,X6)))))),or(X1,or(X2,or(X3,or(X4,or(X6,X5))))))),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_426,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),r))),
inference(scs_inference,[],[i_0_44,i_0_17,i_0_23]) ).
cnf(i_0_427,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_474,plain,
~ theorem(or(not(or(not(q),or(not(p),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_17,i_0_46,i_0_24,i_0_23,i_0_27]) ).
cnf(i_0_54,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,X4))))),or(X1,or(X2,or(X3,X4))))),
inference(scs_inference,[],[i_0_52,i_0_27]) ).
cnf(i_0_58,plain,
theorem(or(not(or(X1,X2)),or(X3,or(X1,or(X4,X2))))),
inference(scs_inference,[],[i_0_38,i_0_48,i_0_23]) ).
cnf(i_0_59,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X3,or(X5,X4)))))),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_62,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X2,or(X5,X3)))))),
inference(scs_inference,[],[i_0_38,i_0_48,i_0_23,i_0_27]) ).
cnf(i_0_137,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X3,or(X5,X4)))))),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_177,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X4,or(X3,X5)))))),
inference(scs_inference,[],[i_0_56,i_0_27]) ).
cnf(i_0_179,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(p),or(not(or(not(p),q)),r)))),
inference(scs_inference,[],[i_0_56,i_0_17,i_0_27,i_0_23]) ).
cnf(i_0_180,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X3,or(X2,X4))))),
inference(rename_variables,[],[i_0_56]) ).
cnf(i_0_377,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X3,or(X4,or(X6,X5))))))),
inference(scs_inference,[],[i_0_48,i_0_27]) ).
cnf(i_0_420,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(or(not(p),r),or(not(p),r))))),
inference(scs_inference,[],[i_0_52,i_0_17,i_0_23]) ).
cnf(i_0_421,plain,
theorem(or(not(or(X1,or(X2,or(X3,X3)))),or(X1,or(X2,X3)))),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_541,plain,
~ axiom(or(not(or(not(q),or(not(p),r))),or(not(or(not(p),q)),or(not(p),r)))),
inference(scs_inference,[],[i_0_474,i_0_24]) ).
cnf(i_0_547,plain,
~ axiom(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),r))),
inference(scs_inference,[],[i_0_426,i_0_24]) ).
cnf(c_0_428,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_23 ).
cnf(c_0_429,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X4,or(X3,X5)))))),
i_0_177 ).
cnf(c_0_430,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
i_0_29 ).
cnf(c_0_431,plain,
( theorem(or(X1,or(X2,or(X3,or(X4,X5)))))
| ~ theorem(or(X1,or(X2,or(X4,or(X3,X5))))) ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_432,plain,
( theorem(or(X1,or(not(or(X2,X3)),or(X2,X4))))
| ~ theorem(or(X1,or(not(X3),X4))) ),
inference(spm,[status(thm)],[c_0_428,c_0_430]) ).
cnf(c_0_433,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
i_0_36 ).
cnf(c_0_434,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
i_0_44 ).
cnf(c_0_435,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(or(not(p),r),or(not(p),r))))),
i_0_420 ).
cnf(c_0_436,plain,
( theorem(or(X1,or(not(or(X2,X3)),or(X4,or(X2,X5)))))
| ~ theorem(or(X1,or(not(X3),or(X4,X5)))) ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_437,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X1,or(X2,or(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_428,c_0_433]) ).
cnf(c_0_438,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X1,or(X2,X4))) ),
inference(spm,[status(thm)],[c_0_428,c_0_434]) ).
cnf(c_0_439,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(q),or(or(not(p),r),r)))),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_440,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X1,or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_441,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
i_0_46 ).
cnf(c_0_442,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_440]),c_0_441])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL225-3 : TPTP v9.2.1. Released v2.3.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 4 22:13:46 EDT 2026
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % start to proof: theBenchmark
% 146.94/83.39 % Version : CSE_E---1.7
% 146.94/83.39 % Problem : theBenchmark.p
% 146.94/83.39 % SZS status Unsatisfiable for theBenchmark.p
% 146.94/83.39 % SZS output start CNFRefutation
% See solution above
% 147.45/83.80 % Total time : 82.581s
%------------------------------------------------------------------------------