TSTP Solution File: LCL202-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL202-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 12:50:32 EDT 2022
% Result : Unsatisfiable 0.18s 0.53s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of clauses : 47 ( 26 unt; 0 nHn; 22 RR)
% Number of literals : 75 ( 0 equ; 29 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 85 ( 19 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(p,q))),or(p,not(q)))) ).
cnf(refute_0_0,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_1,plain,
( ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(X_576,or(not(not(or(X_577,X_578))),not(X_578))))
| theorem(or(not(not(or(X_577,X_578))),or(X_576,not(X_578)))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_576)),bind(B,$fot(not(not(or(X_577,X_578))))),bind(C,$fot(not(X_578)))]]) ).
cnf(refute_0_3,plain,
axiom(or(not(X_24),or(B,X_24))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_4,plain,
( ~ axiom(or(not(X_24),or(B,X_24)))
| ~ theorem(X_24)
| theorem(or(B,X_24)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,X_24))),bind(Y,$fot(X_24))]]) ).
cnf(refute_0_5,plain,
( ~ theorem(X_24)
| theorem(or(B,X_24)) ),
inference(resolve,[$cnf( axiom(or(not(X_24),or(B,X_24))) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(not(not(or(X_501,X_502))),not(X_502)))
| theorem(or(B,or(not(not(or(X_501,X_502))),not(X_502)))) ),
inference(subst,[],[refute_0_5:[bind(X_24,$fot(or(not(not(or(X_501,X_502))),not(X_502))))]]) ).
cnf(refute_0_7,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(A,B))
| theorem(or(B,A)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,A))),bind(Y,$fot(or(A,B)))]]) ).
cnf(refute_0_8,plain,
( ~ theorem(or(A,B))
| theorem(or(B,A)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ theorem(or(not(X_500),not(not(or(X_499,X_500)))))
| theorem(or(not(not(or(X_499,X_500))),not(X_500))) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(not(X_500))),bind(B,$fot(not(not(or(X_499,X_500)))))]]) ).
cnf(refute_0_10,plain,
axiom(or(not(X_495),or(B,X_495))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_495))]]) ).
cnf(refute_0_11,plain,
( ~ theorem(or(not(X_146),X_146))
| theorem(or(X_146,not(X_146))) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(not(X_146))),bind(B,$fot(X_146))]]) ).
cnf(refute_0_12,plain,
axiom(or(not(or(X_23,X_23)),X_23)),
inference(subst,[],[axiom_1_2:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_13,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_14,plain,
( ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(resolve,[$cnf( axiom(or(not(or(X_23,X_23)),X_23)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ theorem(or(or(not(X_145),X_145),or(not(X_145),X_145)))
| theorem(or(not(X_145),X_145)) ),
inference(subst,[],[refute_0_14:[bind(X_23,$fot(or(not(X_145),X_145)))]]) ).
cnf(refute_0_16,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,$fot(or(not(X_3),or(X_4,X_3))))]]) ).
cnf(refute_0_17,plain,
axiom(or(not(X_3),or(X_4,X_3))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_3)),bind(B,$fot(X_4))]]) ).
cnf(refute_0_18,plain,
theorem(or(not(X_3),or(X_4,X_3))),
inference(resolve,[$cnf( axiom(or(not(X_3),or(X_4,X_3))) )],[refute_0_17,refute_0_16]) ).
cnf(refute_0_19,plain,
theorem(or(not(X_143),or(X_142,X_143))),
inference(subst,[],[refute_0_18:[bind(X_3,$fot(X_143)),bind(X_4,$fot(X_142))]]) ).
cnf(refute_0_20,plain,
( ~ theorem(or(not(X_143),or(X_142,X_143)))
| theorem(or(X_142,or(not(X_143),X_143))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(X_143))),bind(B,$fot(X_142)),bind(C,$fot(X_143))]]) ).
cnf(refute_0_21,plain,
theorem(or(X_142,or(not(X_143),X_143))),
inference(resolve,[$cnf( theorem(or(not(X_143),or(X_142,X_143))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
theorem(or(or(not(X_145),X_145),or(not(X_145),X_145))),
inference(subst,[],[refute_0_21:[bind(X_142,$fot(or(not(X_145),X_145))),bind(X_143,$fot(X_145))]]) ).
cnf(refute_0_23,plain,
theorem(or(not(X_145),X_145)),
inference(resolve,[$cnf( theorem(or(or(not(X_145),X_145),or(not(X_145),X_145))) )],[refute_0_22,refute_0_15]) ).
cnf(refute_0_24,plain,
theorem(or(not(X_146),X_146)),
inference(subst,[],[refute_0_23:[bind(X_145,$fot(X_146))]]) ).
cnf(refute_0_25,plain,
theorem(or(X_146,not(X_146))),
inference(resolve,[$cnf( theorem(or(not(X_146),X_146)) )],[refute_0_24,refute_0_11]) ).
cnf(refute_0_26,plain,
theorem(or(not(X_416),not(not(X_416)))),
inference(subst,[],[refute_0_25:[bind(X_146,$fot(not(X_416)))]]) ).
cnf(refute_0_27,plain,
( ~ axiom(or(not(X_415),X_416))
| ~ theorem(or(not(X_416),not(not(X_416))))
| theorem(or(not(X_415),not(not(X_416)))) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_415)),bind(Y,$fot(X_416)),bind(Z,$fot(not(not(X_416))))]]) ).
cnf(refute_0_28,plain,
( ~ axiom(or(not(X_415),X_416))
| theorem(or(not(X_415),not(not(X_416)))) ),
inference(resolve,[$cnf( theorem(or(not(X_416),not(not(X_416)))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ axiom(or(not(X_495),or(B,X_495)))
| theorem(or(not(X_495),not(not(or(B,X_495))))) ),
inference(subst,[],[refute_0_28:[bind(X_415,$fot(X_495)),bind(X_416,$fot(or(B,X_495)))]]) ).
cnf(refute_0_30,plain,
theorem(or(not(X_495),not(not(or(B,X_495))))),
inference(resolve,[$cnf( axiom(or(not(X_495),or(B,X_495))) )],[refute_0_10,refute_0_29]) ).
cnf(refute_0_31,plain,
theorem(or(not(X_500),not(not(or(X_499,X_500))))),
inference(subst,[],[refute_0_30:[bind(B,$fot(X_499)),bind(X_495,$fot(X_500))]]) ).
cnf(refute_0_32,plain,
theorem(or(not(not(or(X_499,X_500))),not(X_500))),
inference(resolve,[$cnf( theorem(or(not(X_500),not(not(or(X_499,X_500))))) )],[refute_0_31,refute_0_9]) ).
cnf(refute_0_33,plain,
theorem(or(not(not(or(X_501,X_502))),not(X_502))),
inference(subst,[],[refute_0_32:[bind(X_499,$fot(X_501)),bind(X_500,$fot(X_502))]]) ).
cnf(refute_0_34,plain,
theorem(or(B,or(not(not(or(X_501,X_502))),not(X_502)))),
inference(resolve,[$cnf( theorem(or(not(not(or(X_501,X_502))),not(X_502))) )],[refute_0_33,refute_0_6]) ).
cnf(refute_0_35,plain,
theorem(or(X_576,or(not(not(or(X_577,X_578))),not(X_578)))),
inference(subst,[],[refute_0_34:[bind(B,$fot(X_576)),bind(X_501,$fot(X_577)),bind(X_502,$fot(X_578))]]) ).
cnf(refute_0_36,plain,
theorem(or(not(not(or(X_577,X_578))),or(X_576,not(X_578)))),
inference(resolve,[$cnf( theorem(or(X_576,or(not(not(or(X_577,X_578))),not(X_578)))) )],[refute_0_35,refute_0_2]) ).
cnf(refute_0_37,plain,
theorem(or(not(not(or(p,q))),or(p,not(q)))),
inference(subst,[],[refute_0_36:[bind(X_576,$fot(p)),bind(X_577,$fot(p)),bind(X_578,$fot(q))]]) ).
cnf(refute_0_38,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(not(or(p,q))),or(p,not(q)))) )],[refute_0_37,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL202-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 14:05:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.53
% 0.18/0.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.54
%------------------------------------------------------------------------------