%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR051-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 21:57:07 EDT 2022
% Result : Unsatisfiable 13.97s 14.13s
% Output : CNFRefutation 13.97s
% 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 : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 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(ax2_3147,axiom,
ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = true ).
cnf(query151,negated_conjecture,
mtvisible(c_tptp_member3356_mt) = true ).
cnf(query151_1,negated_conjecture,
ifeq3(marriagelicensedocument(X),true,a,b) = b ).
cnf(goal,negated_conjecture,
a != b ).
cnf(refute_0_0,plain,
ifeq3(marriagelicensedocument(c_tptpmarriagelicensedocument),true,a,b) = b,
inference(subst,[],[query151_1:[bind(X,$fot(c_tptpmarriagelicensedocument))]]) ).
cnf(refute_0_1,plain,
ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = marriagelicensedocument(c_tptpmarriagelicensedocument),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(marriagelicensedocument(c_tptpmarriagelicensedocument))),bind(C,$fot(true))]]) ).
cnf(refute_0_2,plain,
ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true),
introduced(tautology,[refl,[$fot(ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true))]]) ).
cnf(refute_0_3,plain,
( ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) != ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true)
| mtvisible(c_tptp_member3356_mt) != true
| ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true),ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_4,plain,
( mtvisible(c_tptp_member3356_mt) != true
| ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) ),
inference(resolve,[$cnf( $equal(ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true),ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true),
inference(resolve,[$cnf( $equal(mtvisible(c_tptp_member3356_mt),true) )],[query151,refute_0_4]) ).
cnf(refute_0_6,plain,
X0 = X0,
introduced(tautology,[refl,[$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( $equal(Y,X0) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) != ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true)
| ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) != marriagelicensedocument(c_tptpmarriagelicensedocument)
| ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = marriagelicensedocument(c_tptpmarriagelicensedocument) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true))),bind(Y,$fot(ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true))),bind(Z,$fot(marriagelicensedocument(c_tptpmarriagelicensedocument)))]]) ).
cnf(refute_0_12,plain,
( ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) != marriagelicensedocument(c_tptpmarriagelicensedocument)
| ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = marriagelicensedocument(c_tptpmarriagelicensedocument) ),
inference(resolve,[$cnf( $equal(ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true),ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true)) )],[refute_0_5,refute_0_11]) ).
cnf(refute_0_13,plain,
ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = marriagelicensedocument(c_tptpmarriagelicensedocument),
inference(resolve,[$cnf( $equal(ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true),marriagelicensedocument(c_tptpmarriagelicensedocument)) )],[refute_0_1,refute_0_12]) ).
cnf(refute_0_14,plain,
( ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) != marriagelicensedocument(c_tptpmarriagelicensedocument)
| ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) != true
| marriagelicensedocument(c_tptpmarriagelicensedocument) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true),true) ),[0],$fot(marriagelicensedocument(c_tptpmarriagelicensedocument))]]) ).
cnf(refute_0_15,plain,
( ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) != true
| marriagelicensedocument(c_tptpmarriagelicensedocument) = true ),
inference(resolve,[$cnf( $equal(ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true),marriagelicensedocument(c_tptpmarriagelicensedocument)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
marriagelicensedocument(c_tptpmarriagelicensedocument) = true,
inference(resolve,[$cnf( $equal(ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true),true) )],[ax2_3147,refute_0_15]) ).
cnf(refute_0_17,plain,
( ifeq3(marriagelicensedocument(c_tptpmarriagelicensedocument),true,a,b) != b
| marriagelicensedocument(c_tptpmarriagelicensedocument) != true
| ifeq3(true,true,a,b) = b ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(marriagelicensedocument(c_tptpmarriagelicensedocument),true,a,b),b) ),[0,0],$fot(true)]]) ).
cnf(refute_0_18,plain,
( ifeq3(marriagelicensedocument(c_tptpmarriagelicensedocument),true,a,b) != b
| ifeq3(true,true,a,b) = b ),
inference(resolve,[$cnf( $equal(marriagelicensedocument(c_tptpmarriagelicensedocument),true) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
ifeq3(true,true,a,b) = b,
inference(resolve,[$cnf( $equal(ifeq3(marriagelicensedocument(c_tptpmarriagelicensedocument),true,a,b),b) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
ifeq3(true,true,a,b) = a,
inference(subst,[],[ifeq_axiom_001:[bind(A,$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
% 0.03/0.11 % Problem : CSR051-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.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 : Thu Jun 9 22:41:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 13.97/14.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.97/14.13
% 13.97/14.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.97/14.14
%------------------------------------------------------------------------------