%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL221-1 : TPTP v9.2.1. Released v1.1.0.
% 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 : n025.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 11.65s 7.31s
% Output : CNFRefutation 11.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of clauses : 60 ( 32 unt; 0 nHn; 34 RR)
% Number of literals : 92 ( 0 equ; 42 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 125 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ axiom(or(not(X2),X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_2) ).
cnf(axiom_1_4,axiom,
axiom(or(not(or(X1,X2)),or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).
cnf(axiom_1_3,axiom,
axiom(or(not(X1),or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).
cnf(axiom_1_5,axiom,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).
cnf(axiom_1_2,axiom,
axiom(or(not(or(X1,X1)),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).
cnf(rule_3,axiom,
( theorem(or(not(X1),X2))
| ~ axiom(or(not(X1),X3))
| ~ theorem(or(not(X3),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_3) ).
cnf(prove_this,negated_conjecture,
~ theorem(or(not(or(not(p),q)),or(not(or(or(p,q),r)),or(q,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_1_6,axiom,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).
cnf(c_0_9,axiom,
( theorem(X1)
| ~ axiom(or(not(X2),X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(c_0_10,axiom,
axiom(or(not(or(X1,X2)),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_11,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1 ).
cnf(c_0_13,plain,
( theorem(or(X1,X2))
| ~ axiom(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,axiom,
axiom(or(not(X1),or(X2,X1))),
axiom_1_3 ).
cnf(c_0_15,axiom,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_16,plain,
theorem(or(or(X1,X2),not(X2))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,axiom,
axiom(or(not(or(X1,X1)),X1)),
axiom_1_2 ).
cnf(c_0_18,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_19,plain,
theorem(or(not(X1),or(X2,X1))),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_20,axiom,
( theorem(or(not(X1),X2))
| ~ axiom(or(not(X1),X3))
| ~ theorem(or(not(X3),X2)) ),
rule_3 ).
cnf(c_0_21,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_22,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ theorem(or(not(or(not(p),q)),or(not(or(or(p,q),r)),or(q,r)))),
prove_this ).
cnf(c_0_24,plain,
( theorem(or(not(or(X1,X2)),X3))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_25,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ theorem(or(not(or(or(p,q),r)),or(not(or(not(p),q)),or(q,r)))),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_27,plain,
( theorem(or(not(X1),X2))
| ~ theorem(or(not(or(X3,X1)),X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_28,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( ~ theorem(or(not(X1),or(not(or(not(p),q)),or(q,r))))
| ~ axiom(or(not(or(or(p,q),r)),X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_30,plain,
theorem(or(not(X1),or(X1,X2))),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
~ theorem(or(not(or(X1,or(or(p,q),r))),or(not(or(not(p),q)),or(q,r)))),
inference(spm,[status(thm)],[c_0_29,c_0_14]) ).
cnf(c_0_32,plain,
( theorem(or(not(or(X1,or(X2,X3))),X4))
| ~ theorem(or(not(or(X2,or(X1,X3))),X4)) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_33,plain,
theorem(or(not(X1),or(or(X2,X1),X3))),
inference(spm,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
~ theorem(or(not(or(or(p,q),or(X1,r))),or(not(or(not(p),q)),or(q,r)))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
( theorem(or(not(or(or(X1,X2),X3)),X4))
| ~ theorem(or(not(or(X1,or(X3,X2))),X4)) ),
inference(spm,[status(thm)],[c_0_24,c_0_32]) ).
cnf(c_0_36,axiom,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
axiom_1_6 ).
cnf(c_0_37,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(or(X1,X2),X2))) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_38,plain,
( theorem(or(X1,X2))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_39,plain,
theorem(or(or(X1,X2),or(not(X2),X3))),
inference(spm,[status(thm)],[c_0_18,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
~ theorem(or(not(or(p,or(or(X1,r),q))),or(not(or(not(p),q)),or(q,r)))),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( theorem(or(not(or(X1,X2)),or(X3,X4)))
| ~ theorem(or(X3,or(not(or(X2,X1)),X4))) ),
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
cnf(c_0_42,plain,
( theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(or(not(or(not(or(X4,X1)),or(X4,X2))),X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_36]) ).
cnf(c_0_43,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_9,c_0_36]) ).
cnf(c_0_44,plain,
( theorem(or(X1,X2))
| ~ theorem(or(or(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_11,c_0_18]) ).
cnf(c_0_46,plain,
theorem(or(or(not(X1),X2),or(X3,X1))),
inference(spm,[status(thm)],[c_0_11,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
~ theorem(or(not(or(not(p),q)),or(not(or(or(or(X1,r),q),p)),or(q,r)))),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),X4)))
| ~ theorem(or(not(or(X3,X2)),X4)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
theorem(or(or(not(X1),X2),X1)),
inference(spm,[status(thm)],[c_0_37,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
~ theorem(or(not(or(or(or(X1,r),q),q)),or(q,r))),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,or(X1,X2))) ),
inference(spm,[status(thm)],[c_0_44,c_0_11]) ).
cnf(c_0_53,plain,
( theorem(or(X1,or(not(or(X1,X2)),X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_18,c_0_43]) ).
cnf(c_0_54,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(or(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_55,plain,
theorem(or(or(not(or(X1,X1)),X2),X1)),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
~ theorem(or(not(or(or(X1,r),or(q,q))),or(q,r))),
inference(spm,[status(thm)],[c_0_51,c_0_35]) ).
cnf(c_0_57,plain,
( theorem(or(not(or(X1,X2)),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
theorem(or(not(or(X1,X1)),or(X1,X2))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL221-1 : TPTP v9.2.1. Released v1.1.0.
% 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
% 0.15/0.32 % Computer : n025.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 22:11:58 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 11.65/7.31 % Version : CSE_E---1.7
% 11.65/7.31 % Problem : theBenchmark.p
% 11.65/7.31 % SZS status Unsatisfiable for theBenchmark.p
% 11.65/7.31 % SZS output start CNFRefutation
% See solution above
% 11.65/7.35 % Total time : 5.378s
%------------------------------------------------------------------------------