TSTP Solution File: SEU427+4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU427+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : 300s
% DateTime : Tue Apr 30 20:42:20 EDT 2024
% Result : Theorem 278.41s 40.93s
% Output : CNFRefutation 285.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 82 ( 30 unt; 0 def)
% Number of atoms : 234 ( 89 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 237 ( 85 ~; 79 |; 52 &)
% ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 4 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 130 ( 116 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [A] :
( A = k1_xboole_0
<=> ! [B] : ~ r2_hidden(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A,B,C] :
( C = k4_xboole_0(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(D,A)
& ~ r2_hidden(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A] :
( v1_xboole_0(A)
<=> A = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [A,B] : k5_xboole_0(A,B) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [A] : k2_xboole_0(A,k1_xboole_0) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [A] : k4_xboole_0(A,k1_xboole_0) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f570,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> k4_subset_1(A,B,C) = k2_xboole_0(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50158,axiom,
( v1_relat_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v2_funct_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0)
& v1_finset_1(k1_xboole_0)
& v1_finseq_1(k1_xboole_0)
& v1_funcop_1(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0)
& v1_seq_1(k1_xboole_0)
& v1_matrlin(k1_xboole_0)
& v7_seqm_3(k1_xboole_0)
& v1_polynom1(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71073,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))
=> k6_relset_2(A,B,C) = k5_relset_2(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71105,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
<=> C = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71108,conjecture,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
=> k8_relset_2(A,B,k4_subset_1(A,C,D),E) = k8_relset_2(A,B,D,E) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71109,negated_conjecture,
~ ! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
=> k8_relset_2(A,B,k4_subset_1(A,C,D),E) = k8_relset_2(A,B,D,E) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f71108]) ).
fof(f71199,plain,
! [A] :
( ( A != k1_xboole_0
| ! [B] : ~ r2_hidden(B,A) )
& ( A = k1_xboole_0
| ? [B] : r2_hidden(B,A) ) ),
inference(NNF_transformation,[status(esa)],[f29]) ).
fof(f71200,plain,
( ! [A] :
( A != k1_xboole_0
| ! [B] : ~ r2_hidden(B,A) )
& ! [A] :
( A = k1_xboole_0
| ? [B] : r2_hidden(B,A) ) ),
inference(miniscoping,[status(esa)],[f71199]) ).
fof(f71201,plain,
( ! [A] :
( A != k1_xboole_0
| ! [B] : ~ r2_hidden(B,A) )
& ! [A] :
( A = k1_xboole_0
| r2_hidden(sk0_22(A),A) ) ),
inference(skolemization,[status(esa)],[f71200]) ).
fof(f71202,plain,
! [X0,X1] :
( X0 != k1_xboole_0
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f71201]) ).
fof(f71222,plain,
! [A,B,C] :
( ( C != k4_xboole_0(A,B)
| ! [D] :
( ( ~ r2_hidden(D,C)
| ( r2_hidden(D,A)
& ~ r2_hidden(D,B) ) )
& ( r2_hidden(D,C)
| ~ r2_hidden(D,A)
| r2_hidden(D,B) ) ) )
& ( C = k4_xboole_0(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
| ~ r2_hidden(D,A)
| r2_hidden(D,B) )
& ( r2_hidden(D,C)
| ( r2_hidden(D,A)
& ~ r2_hidden(D,B) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f32]) ).
fof(f71223,plain,
( ! [A,B,C] :
( C != k4_xboole_0(A,B)
| ( ! [D] :
( ~ r2_hidden(D,C)
| ( r2_hidden(D,A)
& ~ r2_hidden(D,B) ) )
& ! [D] :
( r2_hidden(D,C)
| ~ r2_hidden(D,A)
| r2_hidden(D,B) ) ) )
& ! [A,B,C] :
( C = k4_xboole_0(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
| ~ r2_hidden(D,A)
| r2_hidden(D,B) )
& ( r2_hidden(D,C)
| ( r2_hidden(D,A)
& ~ r2_hidden(D,B) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f71222]) ).
fof(f71224,plain,
( ! [A,B,C] :
( C != k4_xboole_0(A,B)
| ( ! [D] :
( ~ r2_hidden(D,C)
| ( r2_hidden(D,A)
& ~ r2_hidden(D,B) ) )
& ! [D] :
( r2_hidden(D,C)
| ~ r2_hidden(D,A)
| r2_hidden(D,B) ) ) )
& ! [A,B,C] :
( C = k4_xboole_0(A,B)
| ( ( ~ r2_hidden(sk0_25(C,B,A),C)
| ~ r2_hidden(sk0_25(C,B,A),A)
| r2_hidden(sk0_25(C,B,A),B) )
& ( r2_hidden(sk0_25(C,B,A),C)
| ( r2_hidden(sk0_25(C,B,A),A)
& ~ r2_hidden(sk0_25(C,B,A),B) ) ) ) ) ),
inference(skolemization,[status(esa)],[f71223]) ).
fof(f71229,plain,
! [X0,X1,X2] :
( X0 = k4_xboole_0(X1,X2)
| r2_hidden(sk0_25(X0,X2,X1),X0)
| r2_hidden(sk0_25(X0,X2,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f71224]) ).
fof(f71231,plain,
! [A] :
( ( ~ v1_xboole_0(A)
| A = k1_xboole_0 )
& ( v1_xboole_0(A)
| A != k1_xboole_0 ) ),
inference(NNF_transformation,[status(esa)],[f33]) ).
fof(f71232,plain,
( ! [A] :
( ~ v1_xboole_0(A)
| A = k1_xboole_0 )
& ! [A] :
( v1_xboole_0(A)
| A != k1_xboole_0 ) ),
inference(miniscoping,[status(esa)],[f71231]) ).
fof(f71233,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| X0 = k1_xboole_0 ),
inference(cnf_transformation,[status(esa)],[f71232]) ).
fof(f71235,plain,
! [X0,X1] : k5_xboole_0(X0,X1) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f71315,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f71322,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f71324,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f72328,plain,
! [A,B,C] :
( ~ m1_subset_1(B,k1_zfmisc_1(A))
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| k4_subset_1(A,B,C) = k2_xboole_0(B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f570]) ).
fof(f72329,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| k4_subset_1(X1,X0,X2) = k2_xboole_0(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f72328]) ).
fof(f250870,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[status(esa)],[f50158]) ).
fof(f335911,plain,
! [A,B,C] :
( ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))
| k6_relset_2(A,B,C) = k5_relset_2(B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f71073]) ).
fof(f335912,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k6_relset_2(X2,X1,X0) = k5_relset_2(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f335911]) ).
fof(f335999,plain,
! [A,B,C] :
( ~ m1_subset_1(C,k1_zfmisc_1(A))
| ! [D] :
( ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
<=> C = k1_xboole_0 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f71105]) ).
fof(f336000,plain,
! [A,B,C] :
( ~ m1_subset_1(C,k1_zfmisc_1(A))
| ! [D] :
( ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ( ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) != k1_xboole_0
| C = k1_xboole_0 )
& ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
| C != k1_xboole_0 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f335999]) ).
fof(f336001,plain,
! [A,C] :
( ~ m1_subset_1(C,k1_zfmisc_1(A))
| ! [B,D] :
( ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ( ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) != k1_xboole_0
| C = k1_xboole_0 )
& ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
| C != k1_xboole_0 ) ) ) ),
inference(miniscoping,[status(esa)],[f336000]) ).
fof(f336002,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))
| k4_relset_2(k1_zfmisc_1(X1),X3,k6_relset_2(X3,X1,X2),k3_pua2mss1(X0)) != k1_xboole_0
| X0 = k1_xboole_0 ),
inference(cnf_transformation,[status(esa)],[f336001]) ).
fof(f336013,plain,
? [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
& ? [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
& ? [E] :
( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
& k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
& k8_relset_2(A,B,k4_subset_1(A,C,D),E) != k8_relset_2(A,B,D,E) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f71109]) ).
fof(f336014,plain,
? [A,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
& ? [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
& ? [B,E] :
( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
& k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
& k8_relset_2(A,B,k4_subset_1(A,C,D),E) != k8_relset_2(A,B,D,E) ) ) ),
inference(miniscoping,[status(esa)],[f336013]) ).
fof(f336015,plain,
( m1_subset_1(sk0_23837,k1_zfmisc_1(sk0_23836))
& m1_subset_1(sk0_23838,k1_zfmisc_1(sk0_23836))
& m1_subset_1(sk0_23840,k1_zfmisc_1(k2_zfmisc_1(sk0_23836,sk0_23839)))
& k4_relset_2(k1_zfmisc_1(sk0_23836),sk0_23839,k6_relset_2(sk0_23839,sk0_23836,sk0_23840),k3_pua2mss1(sk0_23837)) = k1_xboole_0
& k8_relset_2(sk0_23836,sk0_23839,k4_subset_1(sk0_23836,sk0_23837,sk0_23838),sk0_23840) != k8_relset_2(sk0_23836,sk0_23839,sk0_23838,sk0_23840) ),
inference(skolemization,[status(esa)],[f336014]) ).
fof(f336016,plain,
m1_subset_1(sk0_23837,k1_zfmisc_1(sk0_23836)),
inference(cnf_transformation,[status(esa)],[f336015]) ).
fof(f336017,plain,
m1_subset_1(sk0_23838,k1_zfmisc_1(sk0_23836)),
inference(cnf_transformation,[status(esa)],[f336015]) ).
fof(f336018,plain,
m1_subset_1(sk0_23840,k1_zfmisc_1(k2_zfmisc_1(sk0_23836,sk0_23839))),
inference(cnf_transformation,[status(esa)],[f336015]) ).
fof(f336019,plain,
k4_relset_2(k1_zfmisc_1(sk0_23836),sk0_23839,k6_relset_2(sk0_23839,sk0_23836,sk0_23840),k3_pua2mss1(sk0_23837)) = k1_xboole_0,
inference(cnf_transformation,[status(esa)],[f336015]) ).
fof(f336020,plain,
k8_relset_2(sk0_23836,sk0_23839,k4_subset_1(sk0_23836,sk0_23837,sk0_23838),sk0_23840) != k8_relset_2(sk0_23836,sk0_23839,sk0_23838,sk0_23840),
inference(cnf_transformation,[status(esa)],[f336015]) ).
fof(f383176,plain,
! [X0] : ~ r2_hidden(X0,k1_xboole_0),
inference(destructive_equality_resolution,[status(esa)],[f71202]) ).
fof(f402895,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_23836))
| k4_subset_1(sk0_23836,X0,sk0_23838) = k2_xboole_0(X0,sk0_23838) ),
inference(resolution,[status(thm)],[f72329,f336017]) ).
fof(f403057,plain,
k4_subset_1(sk0_23836,sk0_23837,sk0_23838) = k2_xboole_0(sk0_23837,sk0_23838),
inference(resolution,[status(thm)],[f402895,f336016]) ).
fof(f403068,plain,
k8_relset_2(sk0_23836,sk0_23839,k2_xboole_0(sk0_23837,sk0_23838),sk0_23840) != k8_relset_2(sk0_23836,sk0_23839,sk0_23838,sk0_23840),
inference(backward_demodulation,[status(thm)],[f403057,f336020]) ).
fof(f403915,plain,
( spl0_6234
<=> v1_xboole_0(sk0_23837) ),
introduced(split_symbol_definition) ).
fof(f403916,plain,
( v1_xboole_0(sk0_23837)
| ~ spl0_6234 ),
inference(component_clause,[status(thm)],[f403915]) ).
fof(f403917,plain,
( ~ v1_xboole_0(sk0_23837)
| spl0_6234 ),
inference(component_clause,[status(thm)],[f403915]) ).
fof(f404250,plain,
( sk0_23837 = k1_xboole_0
| ~ spl0_6234 ),
inference(resolution,[status(thm)],[f403916,f71233]) ).
fof(f404254,plain,
( k8_relset_2(sk0_23836,sk0_23839,k2_xboole_0(k1_xboole_0,sk0_23838),sk0_23840) != k8_relset_2(sk0_23836,sk0_23839,sk0_23838,sk0_23840)
| ~ spl0_6234 ),
inference(backward_demodulation,[status(thm)],[f404250,f403068]) ).
fof(f405205,plain,
! [X0] : k1_xboole_0 = k4_xboole_0(k1_xboole_0,X0),
inference(resolution,[status(thm)],[f71229,f383176]) ).
fof(f405320,plain,
! [X0] : k5_xboole_0(k1_xboole_0,X0) = k2_xboole_0(k1_xboole_0,k4_xboole_0(X0,k1_xboole_0)),
inference(paramodulation,[status(thm)],[f405205,f71235]) ).
fof(f405412,plain,
k6_relset_2(sk0_23839,sk0_23836,sk0_23840) = k5_relset_2(sk0_23836,sk0_23840),
inference(resolution,[status(thm)],[f335912,f336018]) ).
fof(f405604,plain,
k4_relset_2(k1_zfmisc_1(sk0_23836),sk0_23839,k5_relset_2(sk0_23836,sk0_23840),k3_pua2mss1(sk0_23837)) = k1_xboole_0,
inference(forward_demodulation,[status(thm)],[f405412,f336019]) ).
fof(f406466,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_23836))
| k4_relset_2(k1_zfmisc_1(sk0_23836),sk0_23839,k6_relset_2(sk0_23839,sk0_23836,sk0_23840),k3_pua2mss1(X0)) != k1_xboole_0
| X0 = k1_xboole_0 ),
inference(resolution,[status(thm)],[f336002,f336018]) ).
fof(f406562,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_23836))
| k4_relset_2(k1_zfmisc_1(sk0_23836),sk0_23839,k5_relset_2(sk0_23836,sk0_23840),k3_pua2mss1(X0)) != k1_xboole_0
| X0 = k1_xboole_0 ),
inference(forward_demodulation,[status(thm)],[f405412,f406466]) ).
fof(f408223,plain,
( spl0_6360
<=> sk0_23837 = k1_xboole_0 ),
introduced(split_symbol_definition) ).
fof(f408224,plain,
( sk0_23837 = k1_xboole_0
| ~ spl0_6360 ),
inference(component_clause,[status(thm)],[f408223]) ).
fof(f408554,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl0_6360
| spl0_6234 ),
inference(backward_demodulation,[status(thm)],[f408224,f403917]) ).
fof(f408555,plain,
( $false
| ~ spl0_6360
| spl0_6234 ),
inference(forward_subsumption_resolution,[status(thm)],[f408554,f250870]) ).
fof(f408556,plain,
( ~ spl0_6360
| spl0_6234 ),
inference(contradiction_clause,[status(thm)],[f408555]) ).
fof(f409430,plain,
! [X0] : k5_xboole_0(k1_xboole_0,X0) = k2_xboole_0(k1_xboole_0,X0),
inference(backward_demodulation,[status(thm)],[f71324,f405320]) ).
fof(f409433,plain,
! [X0] : k5_xboole_0(k1_xboole_0,X0) = k2_xboole_0(k4_xboole_0(k1_xboole_0,X0),X0),
inference(paramodulation,[status(thm)],[f71324,f71235]) ).
fof(f409434,plain,
! [X0] : k5_xboole_0(k1_xboole_0,X0) = k2_xboole_0(X0,k4_xboole_0(k1_xboole_0,X0)),
inference(forward_demodulation,[status(thm)],[f71315,f409433]) ).
fof(f409435,plain,
! [X0] : k5_xboole_0(k1_xboole_0,X0) = k2_xboole_0(X0,k1_xboole_0),
inference(forward_demodulation,[status(thm)],[f405205,f409434]) ).
fof(f409436,plain,
! [X0] : k5_xboole_0(k1_xboole_0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f71322,f409435]) ).
fof(f409890,plain,
! [X0] : X0 = k2_xboole_0(k1_xboole_0,X0),
inference(forward_demodulation,[status(thm)],[f409436,f409430]) ).
fof(f413943,plain,
( spl0_6422
<=> k4_relset_2(k1_zfmisc_1(sk0_23836),sk0_23839,k5_relset_2(sk0_23836,sk0_23840),k3_pua2mss1(sk0_23837)) = k1_xboole_0 ),
introduced(split_symbol_definition) ).
fof(f413945,plain,
( k4_relset_2(k1_zfmisc_1(sk0_23836),sk0_23839,k5_relset_2(sk0_23836,sk0_23840),k3_pua2mss1(sk0_23837)) != k1_xboole_0
| spl0_6422 ),
inference(component_clause,[status(thm)],[f413943]) ).
fof(f413946,plain,
( k4_relset_2(k1_zfmisc_1(sk0_23836),sk0_23839,k5_relset_2(sk0_23836,sk0_23840),k3_pua2mss1(sk0_23837)) != k1_xboole_0
| sk0_23837 = k1_xboole_0 ),
inference(resolution,[status(thm)],[f406562,f336016]) ).
fof(f413947,plain,
( ~ spl0_6422
| spl0_6360 ),
inference(split_clause,[status(thm)],[f413946,f413943,f408223]) ).
fof(f413960,plain,
( k1_xboole_0 != k1_xboole_0
| spl0_6422 ),
inference(forward_demodulation,[status(thm)],[f405604,f413945]) ).
fof(f413961,plain,
( $false
| spl0_6422 ),
inference(trivial_equality_resolution,[status(esa)],[f413960]) ).
fof(f413962,plain,
spl0_6422,
inference(contradiction_clause,[status(thm)],[f413961]) ).
fof(f413985,plain,
( k8_relset_2(sk0_23836,sk0_23839,sk0_23838,sk0_23840) != k8_relset_2(sk0_23836,sk0_23839,sk0_23838,sk0_23840)
| ~ spl0_6234 ),
inference(forward_demodulation,[status(thm)],[f409890,f404254]) ).
fof(f413986,plain,
( $false
| ~ spl0_6234 ),
inference(trivial_equality_resolution,[status(esa)],[f413985]) ).
fof(f413987,plain,
~ spl0_6234,
inference(contradiction_clause,[status(thm)],[f413986]) ).
fof(f413988,plain,
$false,
inference(sat_refutation,[status(thm)],[f408556,f413947,f413962,f413987]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU427+4 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 20:17:13 EDT 2024
% 0.13/0.33 % CPUTime :
% 6.47/6.67 % Drodi V3.6.0
% 278.41/40.93 % Refutation found
% 278.41/40.93 % SZS status Theorem for theBenchmark: Theorem is valid
% 278.41/40.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 290.18/42.42 % Elapsed time: 41.756780 seconds
% 290.18/42.42 % CPU time: 281.809226 seconds
% 290.18/42.42 % Total memory used: 21.615 GB
% 290.18/42.42 % Net memory used: 21.488 GB
%------------------------------------------------------------------------------