%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL191-1 : 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 : n004.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 04:39:39 PM UTC 2026
% Result : Unsatisfiable 6.00s 4.41s
% Output : CNFRefutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 51 ( 25 unt; 0 nHn; 31 RR)
% Number of literals : 81 ( 0 equ; 40 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 98 ( 14 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(prove_this,negated_conjecture,
~ theorem(or(not(or(p,or(q,r))),or(or(p,q),r))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
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(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(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,negated_conjecture,
~ theorem(or(not(or(p,or(q,r))),or(or(p,q),r))),
prove_this ).
cnf(c_0_12,axiom,
( theorem(or(not(X1),X2))
| ~ axiom(or(not(X1),X3))
| ~ theorem(or(not(X3),X2)) ),
rule_3 ).
cnf(c_0_13,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1 ).
cnf(c_0_15,negated_conjecture,
( ~ theorem(or(not(X1),or(or(p,q),r)))
| ~ axiom(or(not(or(p,or(q,r))),X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,axiom,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_17,plain,
( theorem(or(X1,X2))
| ~ axiom(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,axiom,
axiom(or(not(X1),or(X2,X1))),
axiom_1_3 ).
cnf(c_0_19,negated_conjecture,
~ theorem(or(not(or(q,or(p,r))),or(or(p,q),r))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
theorem(or(or(X1,X2),not(X2))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( ~ theorem(or(not(X1),or(or(p,q),r)))
| ~ axiom(or(not(or(q,or(p,r))),X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_22,axiom,
axiom(or(not(or(X1,X1)),X1)),
axiom_1_2 ).
cnf(c_0_23,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_24,plain,
theorem(or(not(X1),or(X2,X1))),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
~ theorem(or(not(or(or(p,r),q)),or(or(p,q),r))),
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_26,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_22]) ).
cnf(c_0_27,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( ~ theorem(or(not(X1),or(or(p,q),r)))
| ~ axiom(or(not(or(or(p,r),q)),X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_29,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(or(X1,X2),X2))) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_30,plain,
( theorem(or(X1,X2))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_18]) ).
cnf(c_0_31,axiom,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
axiom_1_6 ).
cnf(c_0_32,plain,
( theorem(or(not(or(X1,X2)),X3))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_33,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
~ theorem(or(not(or(X1,or(or(p,r),q))),or(or(p,q),r))),
inference(spm,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_35,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_12,c_0_16]) ).
cnf(c_0_36,plain,
( theorem(or(X1,X2))
| ~ theorem(or(or(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_38,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_9,c_0_31]) ).
cnf(c_0_39,plain,
( theorem(or(not(X1),X2))
| ~ theorem(or(not(or(X3,X1)),X2)) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_40,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,negated_conjecture,
~ theorem(or(not(or(or(p,r),or(X1,q))),or(or(p,q),r))),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,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_32,c_0_35]) ).
cnf(c_0_43,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
( theorem(or(not(or(X1,X2)),or(X2,X3)))
| ~ theorem(or(not(X1),X3)) ),
inference(spm,[status(thm)],[c_0_32,c_0_38]) ).
cnf(c_0_45,plain,
( theorem(or(not(X1),X2))
| ~ theorem(or(not(or(X1,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_39,c_0_32]) ).
cnf(c_0_46,plain,
theorem(or(not(X1),or(X1,X2))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
~ theorem(or(not(or(p,or(or(X1,q),r))),or(or(p,q),r))),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( theorem(or(not(or(X1,X2)),X2))
| ~ theorem(or(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
theorem(or(not(X1),or(or(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL191-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.11 % 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
% 0.16/0.32 % Computer : n004.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 22:08:02 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 6.00/4.41 % Version : CSE_E---1.7
% 6.00/4.41 % Problem : theBenchmark.p
% 6.00/4.41 % SZS status Unsatisfiable for theBenchmark.p
% 6.00/4.41 % SZS output start CNFRefutation
% See solution above
% 6.00/4.42 % Total time : 3.374s
%------------------------------------------------------------------------------