TSTP Solution File: LCL204-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL204-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% 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 : 600s
% DateTime : Sun Jul 17 12:50:34 EDT 2022
% Result : Unsatisfiable 2.14s 2.34s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of clauses : 49 ( 27 unt; 0 nHn; 23 RR)
% Number of literals : 78 ( 0 equ; 30 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 108 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(or(not(or(A,A)),A)) ).
cnf(axiom_1_3,axiom,
axiom(or(not(A),or(B,A))) ).
cnf(axiom_1_4,axiom,
axiom(or(not(or(A,B)),or(B,A))) ).
cnf(axiom_1_5,axiom,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ) ).
cnf(rule_3,axiom,
( theorem(or(not(X),Z))
| ~ axiom(or(not(X),Y))
| ~ theorem(or(not(Y),Z)) ) ).
cnf(prove_this,negated_conjecture,
~ theorem(or(not(not(or(not(p),q))),or(not(not(p)),q))) ).
cnf(refute_0_0,plain,
axiom(or(not(X_361),or(B,X_361))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_361))]]) ).
cnf(refute_0_1,plain,
( ~ axiom(or(not(X_361),or(B,X_361)))
| ~ theorem(or(not(or(B,X_361)),X_363))
| theorem(or(not(X_361),X_363)) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_361)),bind(Y,$fot(or(B,X_361))),bind(Z,$fot(X_363))]]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(or(B,X_361)),X_363))
| theorem(or(not(X_361),X_363)) ),
inference(resolve,[$cnf( axiom(or(not(X_361),or(B,X_361))) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ theorem(or(not(or(X_6675,not(or(X_6674,X_6673)))),or(not(X_6674),X_6675)))
| theorem(or(not(not(or(X_6674,X_6673))),or(not(X_6674),X_6675))) ),
inference(subst,[],[refute_0_2:[bind(B,$fot(X_6675)),bind(X_361,$fot(not(or(X_6674,X_6673)))),bind(X_363,$fot(or(not(X_6674),X_6675)))]]) ).
cnf(refute_0_4,plain,
( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
| ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,or(A,C)))),bind(Y,$fot(or(A,or(B,C))))]]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(not(X_2788),or(not(or(not(or(X_2788,X_2787)),X_2789)),X_2789)))
| theorem(or(not(or(not(or(X_2788,X_2787)),X_2789)),or(not(X_2788),X_2789))) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(not(X_2788))),bind(B,$fot(not(or(not(or(X_2788,X_2787)),X_2789)))),bind(C,$fot(X_2789))]]) ).
cnf(refute_0_7,plain,
( ~ theorem(or(not(or(X_2777,X_2778)),or(not(or(not(or(X_2778,X_2777)),X_2779)),X_2779)))
| theorem(or(not(X_2778),or(not(or(not(or(X_2778,X_2777)),X_2779)),X_2779))) ),
inference(subst,[],[refute_0_2:[bind(B,$fot(X_2777)),bind(X_361,$fot(X_2778)),bind(X_363,$fot(or(not(or(not(or(X_2778,X_2777)),X_2779)),X_2779)))]]) ).
cnf(refute_0_8,plain,
( ~ theorem(or(not(or(B,C)),or(B,C)))
| theorem(or(B,or(not(or(B,C)),C))) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(not(or(B,C))))]]) ).
cnf(refute_0_9,plain,
axiom(or(not(or(X_23,X_23)),X_23)),
inference(subst,[],[axiom_1_2:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_10,plain,
( ~ axiom(or(not(or(X_23,X_23)),X_23))
| ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(subst,[],[rule_2:[bind(X,$fot(X_23)),bind(Y,$fot(or(X_23,X_23)))]]) ).
cnf(refute_0_11,plain,
( ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(resolve,[$cnf( axiom(or(not(or(X_23,X_23)),X_23)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ theorem(or(or(not(X_131),X_131),or(not(X_131),X_131)))
| theorem(or(not(X_131),X_131)) ),
inference(subst,[],[refute_0_11:[bind(X_23,$fot(or(not(X_131),X_131)))]]) ).
cnf(refute_0_13,plain,
( ~ axiom(or(not(X_3),or(X_4,X_3)))
| theorem(or(not(X_3),or(X_4,X_3))) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(X_3),or(X_4,X_3))))]]) ).
cnf(refute_0_14,plain,
axiom(or(not(X_3),or(X_4,X_3))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_3)),bind(B,$fot(X_4))]]) ).
cnf(refute_0_15,plain,
theorem(or(not(X_3),or(X_4,X_3))),
inference(resolve,[$cnf( axiom(or(not(X_3),or(X_4,X_3))) )],[refute_0_14,refute_0_13]) ).
cnf(refute_0_16,plain,
theorem(or(not(X_123),or(X_122,X_123))),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(X_123)),bind(X_4,$fot(X_122))]]) ).
cnf(refute_0_17,plain,
( ~ theorem(or(not(X_123),or(X_122,X_123)))
| theorem(or(X_122,or(not(X_123),X_123))) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(not(X_123))),bind(B,$fot(X_122)),bind(C,$fot(X_123))]]) ).
cnf(refute_0_18,plain,
theorem(or(X_122,or(not(X_123),X_123))),
inference(resolve,[$cnf( theorem(or(not(X_123),or(X_122,X_123))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
theorem(or(or(not(X_131),X_131),or(not(X_131),X_131))),
inference(subst,[],[refute_0_18:[bind(X_122,$fot(or(not(X_131),X_131))),bind(X_123,$fot(X_131))]]) ).
cnf(refute_0_20,plain,
theorem(or(not(X_131),X_131)),
inference(resolve,[$cnf( theorem(or(or(not(X_131),X_131),or(not(X_131),X_131))) )],[refute_0_19,refute_0_12]) ).
cnf(refute_0_21,plain,
theorem(or(not(or(B,C)),or(B,C))),
inference(subst,[],[refute_0_20:[bind(X_131,$fot(or(B,C)))]]) ).
cnf(refute_0_22,plain,
theorem(or(B,or(not(or(B,C)),C))),
inference(resolve,[$cnf( theorem(or(not(or(B,C)),or(B,C))) )],[refute_0_21,refute_0_8]) ).
cnf(refute_0_23,plain,
theorem(or(not(X_362),or(not(or(not(X_362),C)),C))),
inference(subst,[],[refute_0_22:[bind(B,$fot(not(X_362)))]]) ).
cnf(refute_0_24,plain,
( ~ axiom(or(not(X_361),X_362))
| ~ theorem(or(not(X_362),or(not(or(not(X_362),C)),C)))
| theorem(or(not(X_361),or(not(or(not(X_362),C)),C))) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_361)),bind(Y,$fot(X_362)),bind(Z,$fot(or(not(or(not(X_362),C)),C)))]]) ).
cnf(refute_0_25,plain,
( ~ axiom(or(not(X_361),X_362))
| theorem(or(not(X_361),or(not(or(not(X_362),C)),C))) ),
inference(resolve,[$cnf( theorem(or(not(X_362),or(not(or(not(X_362),C)),C))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| theorem(or(not(or(A,B)),or(not(or(not(or(B,A)),X_2774)),X_2774))) ),
inference(subst,[],[refute_0_25:[bind(C,$fot(X_2774)),bind(X_361,$fot(or(A,B))),bind(X_362,$fot(or(B,A)))]]) ).
cnf(refute_0_27,plain,
theorem(or(not(or(A,B)),or(not(or(not(or(B,A)),X_2774)),X_2774))),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_26]) ).
cnf(refute_0_28,plain,
theorem(or(not(or(X_2777,X_2778)),or(not(or(not(or(X_2778,X_2777)),X_2779)),X_2779))),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_2777)),bind(B,$fot(X_2778)),bind(X_2774,$fot(X_2779))]]) ).
cnf(refute_0_29,plain,
theorem(or(not(X_2778),or(not(or(not(or(X_2778,X_2777)),X_2779)),X_2779))),
inference(resolve,[$cnf( theorem(or(not(or(X_2777,X_2778)),or(not(or(not(or(X_2778,X_2777)),X_2779)),X_2779))) )],[refute_0_28,refute_0_7]) ).
cnf(refute_0_30,plain,
theorem(or(not(X_2788),or(not(or(not(or(X_2788,X_2787)),X_2789)),X_2789))),
inference(subst,[],[refute_0_29:[bind(X_2777,$fot(X_2787)),bind(X_2778,$fot(X_2788)),bind(X_2779,$fot(X_2789))]]) ).
cnf(refute_0_31,plain,
theorem(or(not(or(not(or(X_2788,X_2787)),X_2789)),or(not(X_2788),X_2789))),
inference(resolve,[$cnf( theorem(or(not(X_2788),or(not(or(not(or(X_2788,X_2787)),X_2789)),X_2789))) )],[refute_0_30,refute_0_6]) ).
cnf(refute_0_32,plain,
theorem(or(not(or(not(or(X_2788,X_2787)),X_5473)),or(not(X_2788),X_5473))),
inference(subst,[],[refute_0_31:[bind(X_2789,$fot(X_5473))]]) ).
cnf(refute_0_33,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_363))
| theorem(or(not(or(A,B)),X_363)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_363))]]) ).
cnf(refute_0_34,plain,
( ~ theorem(or(not(or(B,A)),X_363))
| theorem(or(not(or(A,B)),X_363)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ theorem(or(not(or(not(or(X_2788,X_2787)),X_5473)),or(not(X_2788),X_5473)))
| theorem(or(not(or(X_5473,not(or(X_2788,X_2787)))),or(not(X_2788),X_5473))) ),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_5473)),bind(B,$fot(not(or(X_2788,X_2787)))),bind(X_363,$fot(or(not(X_2788),X_5473)))]]) ).
cnf(refute_0_36,plain,
theorem(or(not(or(X_5473,not(or(X_2788,X_2787)))),or(not(X_2788),X_5473))),
inference(resolve,[$cnf( theorem(or(not(or(not(or(X_2788,X_2787)),X_5473)),or(not(X_2788),X_5473))) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
theorem(or(not(or(X_6675,not(or(X_6674,X_6673)))),or(not(X_6674),X_6675))),
inference(subst,[],[refute_0_36:[bind(X_2787,$fot(X_6673)),bind(X_2788,$fot(X_6674)),bind(X_5473,$fot(X_6675))]]) ).
cnf(refute_0_38,plain,
theorem(or(not(not(or(X_6674,X_6673))),or(not(X_6674),X_6675))),
inference(resolve,[$cnf( theorem(or(not(or(X_6675,not(or(X_6674,X_6673)))),or(not(X_6674),X_6675))) )],[refute_0_37,refute_0_3]) ).
cnf(refute_0_39,plain,
theorem(or(not(not(or(not(p),q))),or(not(not(p)),q))),
inference(subst,[],[refute_0_38:[bind(X_6673,$fot(q)),bind(X_6674,$fot(not(p))),bind(X_6675,$fot(q))]]) ).
cnf(refute_0_40,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(not(or(not(p),q))),or(not(not(p)),q))) )],[refute_0_39,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL204-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 2 23:56:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.14/2.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.34
% 2.14/2.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.14/2.34
%------------------------------------------------------------------------------