TSTP Solution File: SYO614-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 : Thu Jul 21 18:40:27 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of clauses : 33 ( 11 unt; 6 nHn; 14 RR)
% Number of literals : 59 ( 0 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 62 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_01,axiom,
le(A,A) ).
cnf(sos_02,axiom,
( ~ le(max(A,B),C)
| le(A,C) ) ).
cnf(sos_03,axiom,
( ~ le(max(A,B),C)
| le(B,C) ) ).
cnf(sos_04,axiom,
( eq(f(A),a0)
| eq(f(A),a1) ) ).
cnf(sos_05,axiom,
( ~ eq(f(A0),a0)
| ~ eq(f(A1),a0)
| ~ le(s(A0),A1) ) ).
cnf(sos_06,axiom,
( ~ eq(f(A0),a1)
| ~ eq(f(A1),a1)
| ~ le(s(A0),A1) ) ).
cnf(refute_0_0,plain,
le(max(X_2,X_3),max(X_2,X_3)),
inference(subst,[],[sos_01:[bind(A,$fot(max(X_2,X_3)))]]) ).
cnf(refute_0_1,plain,
( ~ le(max(X_2,X_3),max(X_2,X_3))
| le(X_2,max(X_2,X_3)) ),
inference(subst,[],[sos_02:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(max(X_2,X_3)))]]) ).
cnf(refute_0_2,plain,
le(X_2,max(X_2,X_3)),
inference(resolve,[$cnf( le(max(X_2,X_3),max(X_2,X_3)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
le(s(X_64),max(s(X_64),X_3)),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(s(X_64)))]]) ).
cnf(refute_0_4,plain,
( ~ eq(f(X_64),a0)
| ~ eq(f(max(s(X_64),X_3)),a0)
| ~ le(s(X_64),max(s(X_64),X_3)) ),
inference(subst,[],[sos_05:[bind(A0,$fot(X_64)),bind(A1,$fot(max(s(X_64),X_3)))]]) ).
cnf(refute_0_5,plain,
( ~ eq(f(X_64),a0)
| ~ eq(f(max(s(X_64),X_3)),a0) ),
inference(resolve,[$cnf( le(s(X_64),max(s(X_64),X_3)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( eq(f(X_186),a0)
| eq(f(X_186),a1) ),
inference(subst,[],[sos_04:[bind(A,$fot(X_186))]]) ).
cnf(refute_0_7,plain,
( eq(f(max(X_181,s(X_182))),a0)
| eq(f(max(X_181,s(X_182))),a1) ),
inference(subst,[],[sos_04:[bind(A,$fot(max(X_181,s(X_182))))]]) ).
cnf(refute_0_8,plain,
le(max(X_19,X_20),max(X_19,X_20)),
inference(subst,[],[sos_01:[bind(A,$fot(max(X_19,X_20)))]]) ).
cnf(refute_0_9,plain,
( ~ le(max(X_19,X_20),max(X_19,X_20))
| le(X_20,max(X_19,X_20)) ),
inference(subst,[],[sos_03:[bind(A,$fot(X_19)),bind(B,$fot(X_20)),bind(C,$fot(max(X_19,X_20)))]]) ).
cnf(refute_0_10,plain,
le(X_20,max(X_19,X_20)),
inference(resolve,[$cnf( le(max(X_19,X_20),max(X_19,X_20)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
le(s(X_67),max(X_19,s(X_67))),
inference(subst,[],[refute_0_10:[bind(X_20,$fot(s(X_67)))]]) ).
cnf(refute_0_12,plain,
( ~ eq(f(X_67),a1)
| ~ eq(f(max(X_19,s(X_67))),a1)
| ~ le(s(X_67),max(X_19,s(X_67))) ),
inference(subst,[],[sos_06:[bind(A0,$fot(X_67)),bind(A1,$fot(max(X_19,s(X_67))))]]) ).
cnf(refute_0_13,plain,
( ~ eq(f(X_67),a1)
| ~ eq(f(max(X_19,s(X_67))),a1) ),
inference(resolve,[$cnf( le(s(X_67),max(X_19,s(X_67))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ eq(f(X_182),a1)
| ~ eq(f(max(X_181,s(X_182))),a1) ),
inference(subst,[],[refute_0_13:[bind(X_19,$fot(X_181)),bind(X_67,$fot(X_182))]]) ).
cnf(refute_0_15,plain,
( ~ eq(f(X_182),a1)
| eq(f(max(X_181,s(X_182))),a0) ),
inference(resolve,[$cnf( eq(f(max(X_181,s(X_182))),a1) )],[refute_0_7,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ eq(f(X_186),a1)
| eq(f(max(X_185,s(X_186))),a0) ),
inference(subst,[],[refute_0_15:[bind(X_181,$fot(X_185)),bind(X_182,$fot(X_186))]]) ).
cnf(refute_0_17,plain,
( eq(f(X_186),a0)
| eq(f(max(X_185,s(X_186))),a0) ),
inference(resolve,[$cnf( eq(f(X_186),a1) )],[refute_0_6,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ eq(f(X_64),a0)
| ~ eq(f(max(s(X_64),s(X_188))),a0) ),
inference(subst,[],[refute_0_5:[bind(X_3,$fot(s(X_188)))]]) ).
cnf(refute_0_19,plain,
( eq(f(X_188),a0)
| eq(f(max(s(X_64),s(X_188))),a0) ),
inference(subst,[],[refute_0_17:[bind(X_185,$fot(s(X_64))),bind(X_186,$fot(X_188))]]) ).
cnf(refute_0_20,plain,
( ~ eq(f(X_64),a0)
| eq(f(X_188),a0) ),
inference(resolve,[$cnf( eq(f(max(s(X_64),s(X_188))),a0) )],[refute_0_19,refute_0_18]) ).
cnf(refute_0_21,plain,
( ~ eq(f(max(X_185,s(X_186))),a0)
| eq(f(X_189),a0) ),
inference(subst,[],[refute_0_20:[bind(X_188,$fot(X_189)),bind(X_64,$fot(max(X_185,s(X_186))))]]) ).
cnf(refute_0_22,plain,
( eq(f(X_186),a0)
| eq(f(X_189),a0) ),
inference(resolve,[$cnf( eq(f(max(X_185,s(X_186))),a0) )],[refute_0_17,refute_0_21]) ).
cnf(refute_0_23,plain,
eq(f(max(s(X_64),X_3)),a0),
inference(subst,[],[refute_0_22:[bind(X_186,$fot(max(s(X_64),X_3))),bind(X_189,$fot(max(s(X_64),X_3)))]]) ).
cnf(refute_0_24,plain,
~ eq(f(X_64),a0),
inference(resolve,[$cnf( eq(f(max(s(X_64),X_3)),a0) )],[refute_0_23,refute_0_5]) ).
cnf(refute_0_25,plain,
eq(f(X_64),a0),
inference(subst,[],[refute_0_22:[bind(X_186,$fot(X_64)),bind(X_189,$fot(X_64))]]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( eq(f(X_64),a0) )],[refute_0_25,refute_0_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n011.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 : Sat Jul 9 11:40:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.37
%------------------------------------------------------------------------------