%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL181-3 : 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 04:39:36 PM UTC 2026
% Result : Unsatisfiable 39.40s 23.16s
% Output : CNFRefutation 39.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of clauses : 61 ( 34 unt; 0 nHn; 25 RR)
% Number of literals : 95 ( 2 equ; 39 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 122 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
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(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
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(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
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_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(implies(not(p),q),implies(not(q),p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_9,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_10,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(c_0_11,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(c_0_12,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(c_0_13,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1 ).
cnf(c_0_14,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(c_0_16,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(c_0_17,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_18,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_19,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_20,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_22,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)],[c_0_16,c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_23,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[c_0_17,c_0_10]) ).
cnf(c_0_24,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_25,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
theorem(or(not(X1),or(X2,X1))),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
cnf(c_0_27,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
cnf(c_0_28,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_29,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_24]) ).
cnf(c_0_30,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_32,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_33,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
theorem(or(X1,or(not(or(X2,X1)),X2))),
inference(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_35,plain,
( theorem(or(X1,X2))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_36,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_31]) ).
cnf(c_0_37,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( theorem(or(not(or(X1,not(X2))),X1))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_34]) ).
cnf(c_0_39,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_35]) ).
cnf(c_0_40,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
( theorem(X1)
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_38]) ).
cnf(c_0_42,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
~ theorem(implies(implies(not(p),q),implies(not(q),p))),
prove_this ).
cnf(c_0_44,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_40]) ).
cnf(c_0_45,plain,
( theorem(X1)
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_46,plain,
theorem(or(or(X1,X2),not(or(X2,X1)))),
inference(spm,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_47,plain,
( theorem(not(not(X1)))
| ~ theorem(or(not(not(X1)),X1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_40]) ).
cnf(c_0_48,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X3,or(X2,X4))) ),
inference(spm,[status(thm)],[c_0_42,c_0_20]) ).
cnf(c_0_49,negated_conjecture,
~ theorem(or(not(or(not(not(p)),q)),or(not(not(q)),p))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_50,plain,
( theorem(or(X1,or(not(not(X2)),X3)))
| ~ theorem(or(or(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_25,c_0_44]) ).
cnf(c_0_51,plain,
( theorem(or(X1,X2))
| ~ theorem(not(not(or(X2,X1)))) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( theorem(not(not(or(X1,or(X2,X3)))))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,plain,
theorem(or(not(or(X1,X2)),or(not(or(not(X2),X3)),or(X1,X3)))),
inference(spm,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_54,negated_conjecture,
~ theorem(or(or(not(or(not(not(p)),q)),p),q)),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_36,c_0_28]) ).
cnf(c_0_57,plain,
( theorem(or(not(or(not(X1),X2)),or(X3,X2)))
| ~ theorem(or(X3,X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
~ theorem(or(not(or(not(not(p)),q)),or(q,p))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( theorem(or(not(or(not(X1),X2)),or(X2,X3)))
| ~ theorem(or(X3,X1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL181-3 : TPTP v9.2.1. Released v2.3.0.
% 0.11/0.13 % 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
% 0.17/0.34 % Computer : n007.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 22:05:39 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 39.40/23.16 % Version : CSE_E---1.7
% 39.40/23.16 % Problem : theBenchmark.p
% 39.40/23.16 % SZS status Unsatisfiable for theBenchmark.p
% 39.40/23.16 % SZS output start CNFRefutation
% See solution above
% 39.57/23.32 % Total time : 17.409s
%------------------------------------------------------------------------------