TSTP Solution File: CSR058-10 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR058-10 : TPTP v8.1.0. Released v7.5.0.
% 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 : Fri Jul 15 21:57:15 EDT 2022
% Result : Unsatisfiable 280.31s 280.48s
% Output : CNFRefutation 280.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 31 ( 17 unt; 0 nHn; 27 RR)
% Number of literals : 53 ( 52 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 18 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq4(A,A,B,C) = B ).
cnf(ifeq_axiom_001,axiom,
ifeq3(A,A,B,C) = B ).
cnf(ax3_22323,axiom,
ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) = true ).
cnf(query208,negated_conjecture,
mtvisible(c_englishmt) = true ).
cnf(query208_1,negated_conjecture,
ifeq3(prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X),true,a,b) = b ).
cnf(goal,negated_conjecture,
a != b ).
cnf(refute_0_0,plain,
ifeq3(prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true,a,b) = b,
inference(subst,[],[query208_1:[bind(X,$fot(s_terroriststhathasbeenamemberofagroup))]]) ).
cnf(refute_0_1,plain,
ifeq4(true,true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) = prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup))),bind(C,$fot(true))]]) ).
cnf(refute_0_2,plain,
ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) = ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true),
introduced(tautology,[refl,[$fot(ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true))]]) ).
cnf(refute_0_3,plain,
( ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) != ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true)
| mtvisible(c_englishmt) != true
| ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) = ifeq4(true,true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true),ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_4,plain,
( mtvisible(c_englishmt) != true
| ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) = ifeq4(true,true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) ),
inference(resolve,[$cnf( $equal(ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true),ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) = ifeq4(true,true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true),
inference(resolve,[$cnf( $equal(mtvisible(c_englishmt),true) )],[query208,refute_0_4]) ).
cnf(refute_0_6,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_7,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_0_8,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( Y != X0
| Y != Z
| X0 = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X0)]]) ).
cnf(refute_0_10,plain,
( X0 != Y
| Y != Z
| X0 = Z ),
inference(resolve,[$cnf( $equal(Y,X0) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) != ifeq4(true,true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true)
| ifeq4(true,true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) != prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup)
| ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) = prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true))),bind(Y,$fot(ifeq4(true,true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true))),bind(Z,$fot(prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup)))]]) ).
cnf(refute_0_12,plain,
( ifeq4(true,true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) != prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup)
| ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) = prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup) ),
inference(resolve,[$cnf( $equal(ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true),ifeq4(true,true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true)) )],[refute_0_5,refute_0_11]) ).
cnf(refute_0_13,plain,
ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) = prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),
inference(resolve,[$cnf( $equal(ifeq4(true,true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true),prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup)) )],[refute_0_1,refute_0_12]) ).
cnf(refute_0_14,plain,
( ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) != prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup)
| ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) != true
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true),true) ),[0],$fot(prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup))]]) ).
cnf(refute_0_15,plain,
( ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) != true
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup) = true ),
inference(resolve,[$cnf( $equal(ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true),prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup) = true,
inference(resolve,[$cnf( $equal(ifeq4(mtvisible(c_englishmt),true,prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true),true) )],[ax3_22323,refute_0_15]) ).
cnf(refute_0_17,plain,
( ifeq3(prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true,a,b) != b
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup) != true
| ifeq3(true,true,a,b) = b ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true,a,b),b) ),[0,0],$fot(true)]]) ).
cnf(refute_0_18,plain,
( ifeq3(prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true,a,b) != b
| ifeq3(true,true,a,b) = b ),
inference(resolve,[$cnf( $equal(prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
ifeq3(true,true,a,b) = b,
inference(resolve,[$cnf( $equal(ifeq3(prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhathasbeenamemberofagroup),true,a,b),b) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
ifeq3(true,true,a,b) = a,
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).
cnf(refute_0_21,plain,
( ifeq3(true,true,a,b) != a
| ifeq3(true,true,a,b) != b
| a = b ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(true,true,a,b),b) ),[0],$fot(a)]]) ).
cnf(refute_0_22,plain,
( ifeq3(true,true,a,b) != b
| a = b ),
inference(resolve,[$cnf( $equal(ifeq3(true,true,a,b),a) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
a = b,
inference(resolve,[$cnf( $equal(ifeq3(true,true,a,b),b) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
$false,
inference(resolve,[$cnf( $equal(a,b) )],[refute_0_23,goal]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CSR058-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % 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 Jun 11 18:42:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 280.31/280.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 280.31/280.48
% 280.31/280.48 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 280.31/280.53
%------------------------------------------------------------------------------