TSTP Solution File: SYN071-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN071-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 08:59:17 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of clauses : 37 ( 10 unt; 11 nHn; 36 RR)
% Number of literals : 74 ( 73 equ; 29 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( a = b
| c = d ) ).
cnf(clause_2,axiom,
( a = c
| b = d ) ).
cnf(clause_3,negated_conjecture,
a != d ).
cnf(clause_4,negated_conjecture,
b != c ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( c != d
| d = c ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c)),bind(Y,$fot(d))]]) ).
cnf(refute_0_4,plain,
( a = b
| d = c ),
inference(resolve,[$cnf( $equal(c,d) )],[clause_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( a != c
| d != c
| a = d ),
introduced(tautology,[equality,[$cnf( ~ $equal(a,d) ),[1],$fot(c)]]) ).
cnf(refute_0_6,plain,
( a != c
| a = b
| a = d ),
inference(resolve,[$cnf( $equal(d,c) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( a != c
| a = b ),
inference(resolve,[$cnf( $equal(a,d) )],[refute_0_6,clause_3]) ).
cnf(refute_0_8,plain,
( b != d
| d = b ),
inference(subst,[],[refute_0_2:[bind(X,$fot(b)),bind(Y,$fot(d))]]) ).
cnf(refute_0_9,plain,
( a = c
| d = b ),
inference(resolve,[$cnf( $equal(b,d) )],[clause_2,refute_0_8]) ).
cnf(refute_0_10,plain,
( c != d
| d != b
| c = b ),
introduced(tautology,[equality,[$cnf( ~ $equal(c,b) ),[0],$fot(d)]]) ).
cnf(refute_0_11,plain,
( c != d
| a = c
| c = b ),
inference(resolve,[$cnf( $equal(d,b) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( a = b
| a = c
| c = b ),
inference(resolve,[$cnf( $equal(c,d) )],[clause_1,refute_0_11]) ).
cnf(refute_0_13,plain,
( c != b
| b = c ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c)),bind(Y,$fot(b))]]) ).
cnf(refute_0_14,plain,
c != b,
inference(resolve,[$cnf( $equal(b,c) )],[refute_0_13,clause_4]) ).
cnf(refute_0_15,plain,
( a = b
| a = c ),
inference(resolve,[$cnf( $equal(c,b) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( a != c
| c = a ),
inference(subst,[],[refute_0_2:[bind(X,$fot(a)),bind(Y,$fot(c))]]) ).
cnf(refute_0_17,plain,
( a = b
| c = a ),
inference(resolve,[$cnf( $equal(a,c) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( a != a
| c != a
| a = c ),
introduced(tautology,[equality,[$cnf( ~ $equal(a,c) ),[1],$fot(a)]]) ).
cnf(refute_0_19,plain,
( a != a
| a = b
| a = c ),
inference(resolve,[$cnf( $equal(c,a) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( a != a
| a = b ),
inference(resolve,[$cnf( $equal(a,c) )],[refute_0_19,refute_0_7]) ).
cnf(refute_0_21,plain,
a = a,
introduced(tautology,[refl,[$fot(a)]]) ).
cnf(refute_0_22,plain,
a = b,
inference(resolve,[$cnf( $equal(a,a) )],[refute_0_21,refute_0_20]) ).
cnf(refute_0_23,plain,
( a != b
| b = a ),
inference(subst,[],[refute_0_2:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).
cnf(refute_0_24,plain,
b = a,
inference(resolve,[$cnf( $equal(a,b) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( b != a
| b != d
| a = d ),
introduced(tautology,[equality,[$cnf( $equal(b,d) ),[0],$fot(a)]]) ).
cnf(refute_0_26,plain,
( b != d
| a = d ),
inference(resolve,[$cnf( $equal(b,a) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( a = c
| a = d ),
inference(resolve,[$cnf( $equal(b,d) )],[clause_2,refute_0_26]) ).
cnf(refute_0_28,plain,
( a != c
| b != a
| b = c ),
introduced(tautology,[equality,[$cnf( $equal(b,a) ),[1],$fot(c)]]) ).
cnf(refute_0_29,plain,
( a != c
| b = c ),
inference(resolve,[$cnf( $equal(b,a) )],[refute_0_24,refute_0_28]) ).
cnf(refute_0_30,plain,
a != c,
inference(resolve,[$cnf( $equal(b,c) )],[refute_0_29,clause_4]) ).
cnf(refute_0_31,plain,
a = d,
inference(resolve,[$cnf( $equal(a,c) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( $equal(a,d) )],[refute_0_31,clause_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN071-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.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 : Tue Jul 12 06:36:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------