TSTP Solution File: LCL231-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL231-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 12:50:56 EDT 2022
% Result : Unsatisfiable 77.17s 77.33s
% Output : CNFRefutation 77.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of clauses : 46 ( 25 unt; 0 nHn; 22 RR)
% Number of literals : 74 ( 0 equ; 29 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 : 108 ( 14 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_5,axiom,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ).
cnf(axiom_1_6,axiom,
axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ).
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(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r)))) ).
cnf(refute_0_0,plain,
( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
| ~ theorem(or(not(or(B,or(A,C))),X_326))
| theorem(or(not(or(A,or(B,C))),X_326)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,or(B,C)))),bind(Y,$fot(or(B,or(A,C)))),bind(Z,$fot(X_326))]]) ).
cnf(refute_0_1,plain,
( ~ theorem(or(not(or(B,or(A,C))),X_326))
| theorem(or(not(or(A,or(B,C))),X_326)) ),
inference(resolve,[$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(not(or(X_51468,or(not(or(X_51470,X_51471)),X_51469))),or(X_51468,or(not(X_51471),X_51469))))
| theorem(or(not(or(not(or(X_51470,X_51471)),or(X_51468,X_51469))),or(X_51468,or(not(X_51471),X_51469)))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(X_51470,X_51471)))),bind(B,$fot(X_51468)),bind(C,$fot(X_51469)),bind(X_326,$fot(or(X_51468,or(not(X_51471),X_51469))))]]) ).
cnf(refute_0_3,plain,
( ~ axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))
| ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(not(or(C,A)),or(C,B)))),bind(Y,$fot(or(not(A),B)))]]) ).
cnf(refute_0_4,plain,
( ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(not(or(not(or(X_1234,X_1235)),X_1233)),or(not(X_1235),X_1233)))
| theorem(or(not(or(C,or(not(or(X_1234,X_1235)),X_1233))),or(C,or(not(X_1235),X_1233)))) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(or(not(or(X_1234,X_1235)),X_1233))),bind(B,$fot(or(not(X_1235),X_1233)))]]) ).
cnf(refute_0_6,plain,
( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
| ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,or(A,C)))),bind(Y,$fot(or(A,or(B,C))))]]) ).
cnf(refute_0_7,plain,
( ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ theorem(or(not(X_966),or(not(or(not(or(X_965,X_966)),X_964)),X_964)))
| theorem(or(not(or(not(or(X_965,X_966)),X_964)),or(not(X_966),X_964))) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(not(X_966))),bind(B,$fot(not(or(not(or(X_965,X_966)),X_964)))),bind(C,$fot(X_964))]]) ).
cnf(refute_0_9,plain,
( ~ theorem(or(not(or(B,C)),or(B,C)))
| theorem(or(B,or(not(or(B,C)),C))) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(not(or(B,C))))]]) ).
cnf(refute_0_10,plain,
axiom(or(not(or(X_23,X_23)),X_23)),
inference(subst,[],[axiom_1_2:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_11,plain,
( ~ axiom(or(not(or(X_23,X_23)),X_23))
| ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(subst,[],[rule_2:[bind(X,$fot(X_23)),bind(Y,$fot(or(X_23,X_23)))]]) ).
cnf(refute_0_12,plain,
( ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(resolve,[$cnf( axiom(or(not(or(X_23,X_23)),X_23)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ theorem(or(or(not(X_129),X_129),or(not(X_129),X_129)))
| theorem(or(not(X_129),X_129)) ),
inference(subst,[],[refute_0_12:[bind(X_23,$fot(or(not(X_129),X_129)))]]) ).
cnf(refute_0_14,plain,
( ~ axiom(or(not(X_3),or(X_4,X_3)))
| theorem(or(not(X_3),or(X_4,X_3))) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(X_3),or(X_4,X_3))))]]) ).
cnf(refute_0_15,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_16,plain,
theorem(or(not(X_3),or(X_4,X_3))),
inference(resolve,[$cnf( axiom(or(not(X_3),or(X_4,X_3))) )],[refute_0_15,refute_0_14]) ).
cnf(refute_0_17,plain,
theorem(or(not(X_127),or(X_126,X_127))),
inference(subst,[],[refute_0_16:[bind(X_3,$fot(X_127)),bind(X_4,$fot(X_126))]]) ).
cnf(refute_0_18,plain,
( ~ theorem(or(not(X_127),or(X_126,X_127)))
| theorem(or(X_126,or(not(X_127),X_127))) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(not(X_127))),bind(B,$fot(X_126)),bind(C,$fot(X_127))]]) ).
cnf(refute_0_19,plain,
theorem(or(X_126,or(not(X_127),X_127))),
inference(resolve,[$cnf( theorem(or(not(X_127),or(X_126,X_127))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
theorem(or(or(not(X_129),X_129),or(not(X_129),X_129))),
inference(subst,[],[refute_0_19:[bind(X_126,$fot(or(not(X_129),X_129))),bind(X_127,$fot(X_129))]]) ).
cnf(refute_0_21,plain,
theorem(or(not(X_129),X_129)),
inference(resolve,[$cnf( theorem(or(or(not(X_129),X_129),or(not(X_129),X_129))) )],[refute_0_20,refute_0_13]) ).
cnf(refute_0_22,plain,
theorem(or(not(or(B,C)),or(B,C))),
inference(subst,[],[refute_0_21:[bind(X_129,$fot(or(B,C)))]]) ).
cnf(refute_0_23,plain,
theorem(or(B,or(not(or(B,C)),C))),
inference(resolve,[$cnf( theorem(or(not(or(B,C)),or(B,C))) )],[refute_0_22,refute_0_9]) ).
cnf(refute_0_24,plain,
theorem(or(not(or(X_733,X_734)),or(not(or(not(or(X_733,X_734)),C)),C))),
inference(subst,[],[refute_0_23:[bind(B,$fot(not(or(X_733,X_734))))]]) ).
cnf(refute_0_25,plain,
axiom(or(not(X_324),or(B,X_324))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_324))]]) ).
cnf(refute_0_26,plain,
( ~ axiom(or(not(X_324),or(B,X_324)))
| ~ theorem(or(not(or(B,X_324)),X_326))
| theorem(or(not(X_324),X_326)) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_324)),bind(Y,$fot(or(B,X_324))),bind(Z,$fot(X_326))]]) ).
cnf(refute_0_27,plain,
( ~ theorem(or(not(or(B,X_324)),X_326))
| theorem(or(not(X_324),X_326)) ),
inference(resolve,[$cnf( axiom(or(not(X_324),or(B,X_324))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ theorem(or(not(or(X_733,X_734)),or(not(or(not(or(X_733,X_734)),C)),C)))
| theorem(or(not(X_734),or(not(or(not(or(X_733,X_734)),C)),C))) ),
inference(subst,[],[refute_0_27:[bind(B,$fot(X_733)),bind(X_324,$fot(X_734)),bind(X_326,$fot(or(not(or(not(or(X_733,X_734)),C)),C)))]]) ).
cnf(refute_0_29,plain,
theorem(or(not(X_734),or(not(or(not(or(X_733,X_734)),C)),C))),
inference(resolve,[$cnf( theorem(or(not(or(X_733,X_734)),or(not(or(not(or(X_733,X_734)),C)),C))) )],[refute_0_24,refute_0_28]) ).
cnf(refute_0_30,plain,
theorem(or(not(X_966),or(not(or(not(or(X_965,X_966)),X_964)),X_964))),
inference(subst,[],[refute_0_29:[bind(C,$fot(X_964)),bind(X_733,$fot(X_965)),bind(X_734,$fot(X_966))]]) ).
cnf(refute_0_31,plain,
theorem(or(not(or(not(or(X_965,X_966)),X_964)),or(not(X_966),X_964))),
inference(resolve,[$cnf( theorem(or(not(X_966),or(not(or(not(or(X_965,X_966)),X_964)),X_964))) )],[refute_0_30,refute_0_8]) ).
cnf(refute_0_32,plain,
theorem(or(not(or(not(or(X_1234,X_1235)),X_1233)),or(not(X_1235),X_1233))),
inference(subst,[],[refute_0_31:[bind(X_964,$fot(X_1233)),bind(X_965,$fot(X_1234)),bind(X_966,$fot(X_1235))]]) ).
cnf(refute_0_33,plain,
theorem(or(not(or(C,or(not(or(X_1234,X_1235)),X_1233))),or(C,or(not(X_1235),X_1233)))),
inference(resolve,[$cnf( theorem(or(not(or(not(or(X_1234,X_1235)),X_1233)),or(not(X_1235),X_1233))) )],[refute_0_32,refute_0_5]) ).
cnf(refute_0_34,plain,
theorem(or(not(or(X_51468,or(not(or(X_51470,X_51471)),X_51469))),or(X_51468,or(not(X_51471),X_51469)))),
inference(subst,[],[refute_0_33:[bind(C,$fot(X_51468)),bind(X_1233,$fot(X_51469)),bind(X_1234,$fot(X_51470)),bind(X_1235,$fot(X_51471))]]) ).
cnf(refute_0_35,plain,
theorem(or(not(or(not(or(X_51470,X_51471)),or(X_51468,X_51469))),or(X_51468,or(not(X_51471),X_51469)))),
inference(resolve,[$cnf( theorem(or(not(or(X_51468,or(not(or(X_51470,X_51471)),X_51469))),or(X_51468,or(not(X_51471),X_51469)))) )],[refute_0_34,refute_0_2]) ).
cnf(refute_0_36,plain,
theorem(or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r)))),
inference(subst,[],[refute_0_35:[bind(X_51468,$fot(not(p))),bind(X_51469,$fot(r)),bind(X_51470,$fot(not(p))),bind(X_51471,$fot(q))]]) ).
cnf(refute_0_37,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r)))) )],[refute_0_36,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL231-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n008.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 : Mon Jul 4 14:18:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 77.17/77.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.17/77.33
% 77.17/77.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 77.17/77.33
%------------------------------------------------------------------------------