%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL223-1 : 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 : n002.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 106.17s 67.58s
% Output : CNFRefutation 106.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of clauses : 54 ( 17 unt; 0 nHn; 25 RR)
% Number of literals : 100 ( 0 equ; 48 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 : 142 ( 18 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_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_3,axiom,
axiom(or(not(X1),or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).
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(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(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_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(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).
cnf(prove_this,negated_conjecture,
~ theorem(or(not(or(p,q)),or(not(or(p,or(not(q),r))),or(p,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
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,or(X2,X3))),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_11,axiom,
axiom(or(not(X1),or(X2,X1))),
axiom_1_3 ).
cnf(c_0_12,axiom,
axiom(or(not(or(X1,X1)),X1)),
axiom_1_2 ).
cnf(c_0_13,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( theorem(or(X1,X2))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_15,axiom,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
axiom_1_6 ).
cnf(c_0_16,axiom,
axiom(or(not(or(X1,X2)),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_17,axiom,
( theorem(or(not(X1),X2))
| ~ axiom(or(not(X1),X3))
| ~ theorem(or(not(X3),X2)) ),
rule_3 ).
cnf(c_0_18,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1 ).
cnf(c_0_19,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_20,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_22,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_23,plain,
( theorem(or(not(X1),X2))
| ~ axiom(or(not(X1),X3))
| ~ axiom(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( theorem(or(X1,X2))
| ~ theorem(or(or(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( theorem(or(X1,or(not(or(X1,X2)),X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
cnf(c_0_26,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X3,X2)) ),
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_27,plain,
( theorem(or(not(X1),X2))
| ~ axiom(or(not(or(X3,X1)),X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_11]) ).
cnf(c_0_28,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(or(X1,or(X2,X3)),X3)) ),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
cnf(c_0_29,plain,
( theorem(or(or(not(or(X1,X2)),X3),X1))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_22,c_0_25]) ).
cnf(c_0_30,plain,
( theorem(or(X1,or(or(X2,X3),X4)))
| ~ theorem(or(or(X1,X4),X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_26]) ).
cnf(c_0_31,plain,
theorem(or(not(X1),or(X1,X2))),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_32,plain,
( theorem(or(not(or(X1,X2)),or(X3,X1)))
| ~ theorem(or(not(X2),or(X3,X1))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(or(or(or(X1,X2),X3),X3),X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_30]) ).
cnf(c_0_34,plain,
( theorem(or(not(X1),or(X2,X3)))
| ~ axiom(or(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_31]) ).
cnf(c_0_35,plain,
( theorem(or(X1,or(not(or(X2,X3)),X2)))
| ~ theorem(or(not(X3),or(X1,X2))) ),
inference(spm,[status(thm)],[c_0_13,c_0_32]) ).
cnf(c_0_36,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X2,X3)) ),
inference(spm,[status(thm)],[c_0_33,c_0_26]) ).
cnf(c_0_37,plain,
( theorem(or(not(X1),or(X2,X3)))
| ~ axiom(or(not(X1),X4))
| ~ axiom(or(not(X4),X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_34]) ).
cnf(c_0_38,plain,
( theorem(or(not(X1),or(X2,X3)))
| ~ theorem(or(not(X4),X3))
| ~ axiom(or(not(X1),or(X2,X4))) ),
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_39,plain,
( theorem(or(not(or(X1,X2)),X1))
| ~ theorem(or(not(X2),or(or(not(or(X1,X2)),X1),X1))) ),
inference(spm,[status(thm)],[c_0_19,c_0_35]) ).
cnf(c_0_40,plain,
( theorem(or(X1,or(or(X2,X3),X4)))
| ~ theorem(or(X3,or(X1,X4))) ),
inference(spm,[status(thm)],[c_0_13,c_0_36]) ).
cnf(c_0_41,plain,
( theorem(or(not(X1),or(X2,X3)))
| ~ axiom(or(not(or(X4,X1)),X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_11]) ).
cnf(c_0_42,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_38,c_0_15]) ).
cnf(c_0_43,plain,
( theorem(or(not(or(X1,X2)),X1))
| ~ theorem(or(X1,or(not(X2),X1))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
theorem(or(not(X1),or(or(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_41,c_0_16]) ).
cnf(c_0_45,plain,
( theorem(or(not(X1),or(not(or(X2,X3)),X4)))
| ~ theorem(or(not(or(X2,X5)),X4))
| ~ axiom(or(not(X1),or(not(X3),X5))) ),
inference(spm,[status(thm)],[c_0_17,c_0_42]) ).
cnf(c_0_46,plain,
( theorem(or(not(X1),X2))
| ~ theorem(or(X2,or(not(X3),X2)))
| ~ axiom(or(not(X1),or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_17,c_0_43]) ).
cnf(c_0_47,plain,
theorem(or(or(X1,X2),or(not(X1),X3))),
inference(spm,[status(thm)],[c_0_13,c_0_44]) ).
cnf(c_0_48,plain,
( theorem(or(not(or(X1,or(not(X2),X3))),or(not(or(X4,X2)),X5)))
| ~ theorem(or(not(or(X4,or(X1,X3))),X5)) ),
inference(spm,[status(thm)],[c_0_45,c_0_10]) ).
cnf(c_0_49,plain,
( theorem(or(not(X1),or(X2,X3)))
| ~ axiom(or(not(X1),or(or(X2,X3),X2))) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
~ theorem(or(not(or(p,q)),or(not(or(p,or(not(q),r))),or(p,r)))),
prove_this ).
cnf(c_0_51,plain,
( theorem(or(not(or(X1,X2)),or(not(or(X3,or(not(X2),X4))),X5)))
| ~ theorem(or(not(or(X1,or(X3,X4))),X5)) ),
inference(spm,[status(thm)],[c_0_13,c_0_48]) ).
cnf(c_0_52,plain,
theorem(or(not(or(X1,or(X1,X2))),or(X1,X2))),
inference(spm,[status(thm)],[c_0_49,c_0_16]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL223-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.09 % 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
% 0.10/0.28 % Computer : n002.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Mon May 4 22:12:16 EDT 2026
% 0.10/0.28 % CPUTime :
% 0.10/0.29 % start to proof: theBenchmark
% 106.17/67.58 % Version : CSE_E---1.7
% 106.17/67.58 % Problem : theBenchmark.p
% 106.17/67.58 % SZS status Unsatisfiable for theBenchmark.p
% 106.17/67.58 % SZS output start CNFRefutation
% See solution above
% 106.70/68.10 % Total time : 49.997s
%------------------------------------------------------------------------------