TSTP Solution File: NUM002-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 : Mon Jul 18 12:24:01 EDT 2022
% Result : Unsatisfiable 17.44s 17.67s
% Output : CNFRefutation 17.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of clauses : 29 ( 15 unt; 0 nHn; 15 RR)
% Number of literals : 49 ( 0 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivity,axiom,
equalish(A,A) ).
cnf(transitivity,axiom,
( ~ equalish(A,B)
| ~ equalish(B,C)
| equalish(A,C) ) ).
cnf(commutativity_of_addition,axiom,
equalish(add(A,B),add(B,A)) ).
cnf(commutativity1,axiom,
equalish(add(subtract(A,B),C),subtract(add(A,C),B)) ).
cnf(commutativity2,axiom,
equalish(subtract(add(A,B),C),add(subtract(A,C),B)) ).
cnf(subtract_substitution1,axiom,
( ~ equalish(A,B)
| ~ equalish(C,subtract(A,D))
| equalish(C,subtract(B,D)) ) ).
cnf(prove_equation,negated_conjecture,
~ equalish(add(subtract(a,b),c),add(a,subtract(c,b))) ).
cnf(refute_0_0,plain,
( ~ equalish(X_25,add(A,B))
| ~ equalish(add(A,B),add(B,A))
| equalish(X_25,add(B,A)) ),
inference(subst,[],[transitivity:[bind(A,$fot(X_25)),bind(B,$fot(add(A,B))),bind(C,$fot(add(B,A)))]]) ).
cnf(refute_0_1,plain,
( ~ equalish(X_25,add(A,B))
| equalish(X_25,add(B,A)) ),
inference(resolve,[$cnf( equalish(add(A,B),add(B,A)) )],[commutativity_of_addition,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ equalish(add(subtract(X_5815,X_5816),X_5814),add(subtract(X_5814,X_5816),X_5815))
| equalish(add(subtract(X_5815,X_5816),X_5814),add(X_5815,subtract(X_5814,X_5816))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(subtract(X_5814,X_5816))),bind(B,$fot(X_5815)),bind(X_25,$fot(add(subtract(X_5815,X_5816),X_5814)))]]) ).
cnf(refute_0_3,plain,
equalish(subtract(X_208,X_211),subtract(X_208,X_211)),
inference(subst,[],[reflexivity:[bind(A,$fot(subtract(X_208,X_211)))]]) ).
cnf(refute_0_4,plain,
( ~ equalish(X_208,X_209)
| ~ equalish(subtract(X_208,X_211),subtract(X_208,X_211))
| equalish(subtract(X_208,X_211),subtract(X_209,X_211)) ),
inference(subst,[],[subtract_substitution1:[bind(A,$fot(X_208)),bind(B,$fot(X_209)),bind(C,$fot(subtract(X_208,X_211))),bind(D,$fot(X_211))]]) ).
cnf(refute_0_5,plain,
( ~ equalish(X_208,X_209)
| equalish(subtract(X_208,X_211),subtract(X_209,X_211)) ),
inference(resolve,[$cnf( equalish(subtract(X_208,X_211),subtract(X_208,X_211)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ equalish(add(A,B),add(B,A))
| equalish(subtract(add(A,B),X_257),subtract(add(B,A),X_257)) ),
inference(subst,[],[refute_0_5:[bind(X_208,$fot(add(A,B))),bind(X_209,$fot(add(B,A))),bind(X_211,$fot(X_257))]]) ).
cnf(refute_0_7,plain,
equalish(subtract(add(A,B),X_257),subtract(add(B,A),X_257)),
inference(resolve,[$cnf( equalish(add(A,B),add(B,A)) )],[commutativity_of_addition,refute_0_6]) ).
cnf(refute_0_8,plain,
equalish(subtract(add(X_2929,X_2931),X_2930),subtract(add(X_2931,X_2929),X_2930)),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_2929)),bind(B,$fot(X_2931)),bind(X_257,$fot(X_2930))]]) ).
cnf(refute_0_9,plain,
( ~ equalish(add(subtract(A,B),C),subtract(add(A,C),B))
| ~ equalish(subtract(add(A,C),B),X_27)
| equalish(add(subtract(A,B),C),X_27) ),
inference(subst,[],[transitivity:[bind(A,$fot(add(subtract(A,B),C))),bind(B,$fot(subtract(add(A,C),B))),bind(C,$fot(X_27))]]) ).
cnf(refute_0_10,plain,
( ~ equalish(subtract(add(A,C),B),X_27)
| equalish(add(subtract(A,B),C),X_27) ),
inference(resolve,[$cnf( equalish(add(subtract(A,B),C),subtract(add(A,C),B)) )],[commutativity1,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ equalish(subtract(add(X_2929,X_2931),X_2930),subtract(add(X_2931,X_2929),X_2930))
| equalish(add(subtract(X_2929,X_2930),X_2931),subtract(add(X_2931,X_2929),X_2930)) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_2929)),bind(B,$fot(X_2930)),bind(C,$fot(X_2931)),bind(X_27,$fot(subtract(add(X_2931,X_2929),X_2930)))]]) ).
cnf(refute_0_12,plain,
equalish(add(subtract(X_2929,X_2930),X_2931),subtract(add(X_2931,X_2929),X_2930)),
inference(resolve,[$cnf( equalish(subtract(add(X_2929,X_2931),X_2930),subtract(add(X_2931,X_2929),X_2930)) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
equalish(add(subtract(X_5759,X_5760),X_5758),subtract(add(X_5758,X_5759),X_5760)),
inference(subst,[],[refute_0_12:[bind(X_2929,$fot(X_5759)),bind(X_2930,$fot(X_5760)),bind(X_2931,$fot(X_5758))]]) ).
cnf(refute_0_14,plain,
( ~ equalish(X_25,subtract(add(A,B),C))
| ~ equalish(subtract(add(A,B),C),add(subtract(A,C),B))
| equalish(X_25,add(subtract(A,C),B)) ),
inference(subst,[],[transitivity:[bind(A,$fot(X_25)),bind(B,$fot(subtract(add(A,B),C))),bind(C,$fot(add(subtract(A,C),B)))]]) ).
cnf(refute_0_15,plain,
( ~ equalish(X_25,subtract(add(A,B),C))
| equalish(X_25,add(subtract(A,C),B)) ),
inference(resolve,[$cnf( equalish(subtract(add(A,B),C),add(subtract(A,C),B)) )],[commutativity2,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ equalish(add(subtract(X_5759,X_5760),X_5758),subtract(add(X_5758,X_5759),X_5760))
| equalish(add(subtract(X_5759,X_5760),X_5758),add(subtract(X_5758,X_5760),X_5759)) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_5758)),bind(B,$fot(X_5759)),bind(C,$fot(X_5760)),bind(X_25,$fot(add(subtract(X_5759,X_5760),X_5758)))]]) ).
cnf(refute_0_17,plain,
equalish(add(subtract(X_5759,X_5760),X_5758),add(subtract(X_5758,X_5760),X_5759)),
inference(resolve,[$cnf( equalish(add(subtract(X_5759,X_5760),X_5758),subtract(add(X_5758,X_5759),X_5760)) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
equalish(add(subtract(X_5815,X_5816),X_5814),add(subtract(X_5814,X_5816),X_5815)),
inference(subst,[],[refute_0_17:[bind(X_5758,$fot(X_5814)),bind(X_5759,$fot(X_5815)),bind(X_5760,$fot(X_5816))]]) ).
cnf(refute_0_19,plain,
equalish(add(subtract(X_5815,X_5816),X_5814),add(X_5815,subtract(X_5814,X_5816))),
inference(resolve,[$cnf( equalish(add(subtract(X_5815,X_5816),X_5814),add(subtract(X_5814,X_5816),X_5815)) )],[refute_0_18,refute_0_2]) ).
cnf(refute_0_20,plain,
equalish(add(subtract(a,b),c),add(a,subtract(c,b))),
inference(subst,[],[refute_0_19:[bind(X_5814,$fot(c)),bind(X_5815,$fot(a)),bind(X_5816,$fot(b))]]) ).
cnf(refute_0_21,plain,
$false,
inference(resolve,[$cnf( equalish(add(subtract(a,b),c),add(a,subtract(c,b))) )],[refute_0_20,prove_equation]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 09:02:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 17.44/17.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.44/17.67
% 17.44/17.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.52/17.68
%------------------------------------------------------------------------------