%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR072-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 21:57:31 EDT 2022
% Result : Unsatisfiable 12.12s 12.30s
% Output : CNFRefutation 12.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 27 ( 14 unt; 0 nHn; 25 RR)
% Number of literals : 47 ( 46 equ; 22 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 : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom_001,axiom,
ifeq3(A,A,B,C) = B ).
cnf(ax2_4328,axiom,
genls(c_tptpcol_16_130924,c_tptpcol_15_130923) = true ).
cnf(query172_1,negated_conjecture,
ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = b ).
cnf(goal,negated_conjecture,
a != b ).
cnf(refute_0_0,plain,
ifeq3(true,true,a,b) = a,
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).
cnf(refute_0_1,plain,
ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b),
introduced(tautology,[refl,[$fot(ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b))]]) ).
cnf(refute_0_2,plain,
( genls(c_tptpcol_16_130924,c_tptpcol_15_130923) != true
| ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) != ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b)
| ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = ifeq3(true,true,a,b) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b),ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_3,plain,
( genls(c_tptpcol_16_130924,c_tptpcol_15_130923) != true
| ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = ifeq3(true,true,a,b) ),
inference(resolve,[$cnf( $equal(ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b),ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = ifeq3(true,true,a,b),
inference(resolve,[$cnf( $equal(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true) )],[ax2_4328,refute_0_3]) ).
cnf(refute_0_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_9,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) != ifeq3(true,true,a,b)
| ifeq3(true,true,a,b) != a
| ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = a ),
inference(subst,[],[refute_0_9:[bind(X,$fot(ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b))),bind(Y,$fot(ifeq3(true,true,a,b))),bind(Z,$fot(a))]]) ).
cnf(refute_0_11,plain,
( ifeq3(true,true,a,b) != a
| ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = a ),
inference(resolve,[$cnf( $equal(ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b),ifeq3(true,true,a,b)) )],[refute_0_4,refute_0_10]) ).
cnf(refute_0_12,plain,
ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = a,
inference(resolve,[$cnf( $equal(ifeq3(true,true,a,b),a) )],[refute_0_0,refute_0_11]) ).
cnf(refute_0_13,plain,
( ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) != a
| ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) != b
| a = b ),
introduced(tautology,[equality,[$cnf( $equal(ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b),b) ),[0],$fot(a)]]) ).
cnf(refute_0_14,plain,
( ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) != b
| a = b ),
inference(resolve,[$cnf( $equal(ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b),a) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
a = b,
inference(resolve,[$cnf( $equal(ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b),b) )],[query172_1,refute_0_14]) ).
cnf(refute_0_16,plain,
( a != b
| b = a ),
inference(subst,[],[refute_0_7:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).
cnf(refute_0_17,plain,
b = a,
inference(resolve,[$cnf( $equal(a,b) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( a != a
| b != a
| a = b ),
introduced(tautology,[equality,[$cnf( ~ $equal(a,b) ),[1],$fot(a)]]) ).
cnf(refute_0_19,plain,
( a != a
| a = b ),
inference(resolve,[$cnf( $equal(b,a) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
a != a,
inference(resolve,[$cnf( $equal(a,b) )],[refute_0_19,goal]) ).
cnf(refute_0_21,plain,
a = a,
introduced(tautology,[refl,[$fot(a)]]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( $equal(a,a) )],[refute_0_21,refute_0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR072-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 11 14:09:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 12.12/12.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.12/12.30
% 12.12/12.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.12/12.31
%------------------------------------------------------------------------------