TSTP Solution File: SEU407+2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU407+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:31:59 EDT 2023
% Result : Theorem 115.95s 15.73s
% Output : CNFRefutation 115.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 109 ( 30 unt; 0 def)
% Number of atoms : 337 ( 66 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 377 ( 149 ~; 131 |; 58 &)
% ( 17 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-6 aty)
% Number of variables : 183 ( 4 sgn; 115 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',d2_subset_1) ).
fof(t7_latsum_1,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
=> ( r2_hidden(X3,u1_struct_0(X1))
| r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t7_latsum_1) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',fc1_struct_0) ).
fof(t65_zfmisc_1,axiom,
! [X1,X2] :
( k4_xboole_0(X1,k1_tarski(X2)) = X1
<=> ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t65_zfmisc_1) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',dt_l1_orders_2) ).
fof(t67_zfmisc_1,axiom,
! [X1,X2] :
( k4_xboole_0(k1_tarski(X1),X2) = k1_tarski(X1)
<=> ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t67_zfmisc_1) ).
fof(t79_xboole_1,axiom,
! [X1,X2] : r1_xboole_0(k4_xboole_0(X1,X2),X2),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t79_xboole_1) ).
fof(dt_k1_latsum_1,axiom,
! [X1,X2] :
( ( l1_orders_2(X1)
& l1_orders_2(X2) )
=> ( v1_orders_2(k1_latsum_1(X1,X2))
& l1_orders_2(k1_latsum_1(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',dt_k1_latsum_1) ).
fof(symmetry_r1_xboole_0,axiom,
! [X1,X2] :
( r1_xboole_0(X1,X2)
=> r1_xboole_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',symmetry_r1_xboole_0) ).
fof(fc2_latsum_1,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& l1_orders_2(X2) )
=> ( ~ v3_struct_0(k1_latsum_1(X1,X2))
& v1_orders_2(k1_latsum_1(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',fc2_latsum_1) ).
fof(t68_zfmisc_1,axiom,
! [X1,X2] :
( k4_xboole_0(k1_tarski(X1),X2) = k1_xboole_0
<=> r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t68_zfmisc_1) ).
fof(t83_xboole_1,axiom,
! [X1,X2] :
( r1_xboole_0(X1,X2)
<=> k4_xboole_0(X1,X2) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t83_xboole_1) ).
fof(d4_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k4_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& ~ r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',d4_xboole_0) ).
fof(t81_xboole_1,axiom,
! [X1,X2,X3] :
( r1_xboole_0(X1,k4_xboole_0(X2,X3))
=> r1_xboole_0(X2,k4_xboole_0(X1,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t81_xboole_1) ).
fof(t3_xboole_0,axiom,
! [X1,X2] :
( ~ ( ~ r1_xboole_0(X1,X2)
& ! [X3] :
~ ( r2_hidden(X3,X1)
& r2_hidden(X3,X2) ) )
& ~ ( ? [X3] :
( r2_hidden(X3,X1)
& r2_hidden(X3,X2) )
& r1_xboole_0(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t3_xboole_0) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t1_subset) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = k1_tarski(X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',d1_tarski) ).
fof(d2_latsum_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3] :
( ( v1_orders_2(X3)
& l1_orders_2(X3) )
=> ( X3 = k1_latsum_1(X1,X2)
<=> ( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
& u1_orders_2(X3) = k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2))) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',d2_latsum_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t7_boole) ).
fof(t40_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(k2_xboole_0(X1,X2),X2) = k4_xboole_0(X1,X2),
file('/export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p',t40_xboole_1) ).
fof(c_0_20,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_21,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
=> ( r2_hidden(X3,u1_struct_0(X1))
| r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1))) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t7_latsum_1])]) ).
fof(c_0_22,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_23,plain,
! [X87,X88] :
( ( ~ m1_subset_1(X88,X87)
| r2_hidden(X88,X87)
| v1_xboole_0(X87) )
& ( ~ r2_hidden(X88,X87)
| m1_subset_1(X88,X87)
| v1_xboole_0(X87) )
& ( ~ m1_subset_1(X88,X87)
| v1_xboole_0(X88)
| ~ v1_xboole_0(X87) )
& ( ~ v1_xboole_0(X88)
| m1_subset_1(X88,X87)
| ~ v1_xboole_0(X87) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_24,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& l1_orders_2(esk1_0)
& ~ v3_struct_0(esk2_0)
& l1_orders_2(esk2_0)
& m1_subset_1(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
& ~ r2_hidden(esk3_0,u1_struct_0(esk1_0))
& ~ r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_25,plain,
! [X1,X2] :
( k4_xboole_0(X1,k1_tarski(X2)) = X1
<=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[t65_zfmisc_1]) ).
fof(c_0_26,plain,
! [X5544] :
( v3_struct_0(X5544)
| ~ l1_struct_0(X5544)
| ~ v1_xboole_0(u1_struct_0(X5544)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
cnf(c_0_27,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_29,plain,
! [X384,X385] :
( ( k4_xboole_0(X384,k1_tarski(X385)) != X384
| ~ r2_hidden(X385,X384) )
& ( r2_hidden(X385,X384)
| k4_xboole_0(X384,k1_tarski(X385)) = X384 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
| r2_hidden(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_32,plain,
! [X5555] :
( ~ l1_orders_2(X5555)
| l1_struct_0(X5555) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(c_0_33,plain,
! [X1,X2] :
( k4_xboole_0(k1_tarski(X1),X2) = k1_tarski(X1)
<=> ~ r2_hidden(X1,X2) ),
inference(fof_simplification,[status(thm)],[t67_zfmisc_1]) ).
fof(c_0_34,plain,
! [X312,X313] : r1_xboole_0(k4_xboole_0(X312,X313),X313),
inference(variable_rename,[status(thm)],[t79_xboole_1]) ).
cnf(c_0_35,negated_conjecture,
~ r2_hidden(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
( r2_hidden(X1,X2)
| k4_xboole_0(X2,k1_tarski(X1)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,negated_conjecture,
( v3_struct_0(k1_latsum_1(esk1_0,esk2_0))
| r2_hidden(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
| ~ l1_struct_0(k1_latsum_1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_39,plain,
! [X510,X511] :
( ( v1_orders_2(k1_latsum_1(X510,X511))
| ~ l1_orders_2(X510)
| ~ l1_orders_2(X511) )
& ( l1_orders_2(k1_latsum_1(X510,X511))
| ~ l1_orders_2(X510)
| ~ l1_orders_2(X511) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_latsum_1])])]) ).
fof(c_0_40,plain,
! [X388,X389] :
( ( k4_xboole_0(k1_tarski(X388),X389) != k1_tarski(X388)
| ~ r2_hidden(X388,X389) )
& ( r2_hidden(X388,X389)
| k4_xboole_0(k1_tarski(X388),X389) = k1_tarski(X388) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_41,plain,
! [X2199,X2200] :
( ~ r1_xboole_0(X2199,X2200)
| r1_xboole_0(X2200,X2199) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])]) ).
cnf(c_0_42,plain,
r1_xboole_0(k4_xboole_0(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
k4_xboole_0(u1_struct_0(esk1_0),k1_tarski(esk3_0)) = u1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_44,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& l1_orders_2(X2) )
=> ( ~ v3_struct_0(k1_latsum_1(X1,X2))
& v1_orders_2(k1_latsum_1(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc2_latsum_1]) ).
fof(c_0_45,plain,
! [X390,X391] :
( ( k4_xboole_0(k1_tarski(X390),X391) != k1_xboole_0
| r2_hidden(X390,X391) )
& ( ~ r2_hidden(X390,X391)
| k4_xboole_0(k1_tarski(X390),X391) = k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t68_zfmisc_1])]) ).
cnf(c_0_46,negated_conjecture,
( v3_struct_0(k1_latsum_1(esk1_0,esk2_0))
| r2_hidden(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
| ~ l1_orders_2(k1_latsum_1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
( l1_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_49,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_50,negated_conjecture,
~ r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_51,plain,
( r2_hidden(X1,X2)
| k4_xboole_0(k1_tarski(X1),X2) = k1_tarski(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_52,plain,
! [X322,X323] :
( ( ~ r1_xboole_0(X322,X323)
| k4_xboole_0(X322,X323) = X322 )
& ( k4_xboole_0(X322,X323) != X322
| r1_xboole_0(X322,X323) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t83_xboole_1])]) ).
cnf(c_0_53,plain,
( r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,negated_conjecture,
r1_xboole_0(u1_struct_0(esk1_0),k1_tarski(esk3_0)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_55,plain,
! [X1,X2,X3] :
( X3 = k4_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& ~ r2_hidden(X4,X2) ) ) ),
inference(fof_simplification,[status(thm)],[d4_xboole_0]) ).
fof(c_0_56,plain,
! [X517,X518] :
( ( ~ v3_struct_0(k1_latsum_1(X517,X518))
| v3_struct_0(X517)
| ~ l1_orders_2(X517)
| ~ l1_orders_2(X518) )
& ( v1_orders_2(k1_latsum_1(X517,X518))
| v3_struct_0(X517)
| ~ l1_orders_2(X517)
| ~ l1_orders_2(X518) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
cnf(c_0_57,plain,
( k4_xboole_0(k1_tarski(X1),X2) = k1_xboole_0
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,negated_conjecture,
( v3_struct_0(k1_latsum_1(esk1_0,esk2_0))
| r2_hidden(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49])]) ).
fof(c_0_59,plain,
! [X317,X318,X319] :
( ~ r1_xboole_0(X317,k4_xboole_0(X318,X319))
| r1_xboole_0(X318,k4_xboole_0(X317,X319)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t81_xboole_1])]) ).
cnf(c_0_60,negated_conjecture,
k4_xboole_0(k1_tarski(esk3_0),k4_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))) = k1_tarski(esk3_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_61,plain,
( k4_xboole_0(X1,X2) = X1
| ~ r1_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,negated_conjecture,
r1_xboole_0(k1_tarski(esk3_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_63,plain,
! [X238,X239,X240,X241,X242,X243,X244,X245] :
( ( r2_hidden(X241,X238)
| ~ r2_hidden(X241,X240)
| X240 != k4_xboole_0(X238,X239) )
& ( ~ r2_hidden(X241,X239)
| ~ r2_hidden(X241,X240)
| X240 != k4_xboole_0(X238,X239) )
& ( ~ r2_hidden(X242,X238)
| r2_hidden(X242,X239)
| r2_hidden(X242,X240)
| X240 != k4_xboole_0(X238,X239) )
& ( ~ r2_hidden(esk40_3(X243,X244,X245),X245)
| ~ r2_hidden(esk40_3(X243,X244,X245),X243)
| r2_hidden(esk40_3(X243,X244,X245),X244)
| X245 = k4_xboole_0(X243,X244) )
& ( r2_hidden(esk40_3(X243,X244,X245),X243)
| r2_hidden(esk40_3(X243,X244,X245),X245)
| X245 = k4_xboole_0(X243,X244) )
& ( ~ r2_hidden(esk40_3(X243,X244,X245),X244)
| r2_hidden(esk40_3(X243,X244,X245),X245)
| X245 = k4_xboole_0(X243,X244) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])])]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_latsum_1(X1,X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( k4_xboole_0(k1_tarski(esk3_0),u1_struct_0(k1_latsum_1(esk1_0,esk2_0))) = k1_xboole_0
| v3_struct_0(k1_latsum_1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_67,plain,
! [X1,X2] :
( ~ ( ~ r1_xboole_0(X1,X2)
& ! [X3] :
~ ( r2_hidden(X3,X1)
& r2_hidden(X3,X2) ) )
& ~ ( ? [X3] :
( r2_hidden(X3,X1)
& r2_hidden(X3,X2) )
& r1_xboole_0(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t3_xboole_0]) ).
cnf(c_0_68,plain,
( r1_xboole_0(X2,k4_xboole_0(X1,X3))
| ~ r1_xboole_0(X1,k4_xboole_0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_69,negated_conjecture,
r1_xboole_0(k1_tarski(esk3_0),k4_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_42,c_0_60]) ).
cnf(c_0_70,negated_conjecture,
k4_xboole_0(k1_tarski(esk3_0),u1_struct_0(esk1_0)) = k1_tarski(esk3_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_71,plain,
( r2_hidden(X1,X3)
| r2_hidden(X1,X4)
| ~ r2_hidden(X1,X2)
| X4 != k4_xboole_0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,plain,
( r2_hidden(X1,X2)
| k4_xboole_0(k1_tarski(X1),X2) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_73,negated_conjecture,
k4_xboole_0(k1_tarski(esk3_0),u1_struct_0(k1_latsum_1(esk1_0,esk2_0))) = k1_xboole_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_48]),c_0_49])]),c_0_66]) ).
fof(c_0_74,plain,
! [X2193,X2194,X2196,X2197,X2198] :
( ( r2_hidden(esk172_2(X2193,X2194),X2193)
| r1_xboole_0(X2193,X2194) )
& ( r2_hidden(esk172_2(X2193,X2194),X2194)
| r1_xboole_0(X2193,X2194) )
& ( ~ r2_hidden(X2198,X2196)
| ~ r2_hidden(X2198,X2197)
| ~ r1_xboole_0(X2196,X2197) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])])])]) ).
cnf(c_0_75,negated_conjecture,
r1_xboole_0(u1_struct_0(esk2_0),k1_tarski(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
fof(c_0_76,plain,
! [X109,X110] :
( ~ r2_hidden(X109,X110)
| m1_subset_1(X109,X110) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_77,plain,
( r2_hidden(X1,k4_xboole_0(X2,X3))
| r2_hidden(X1,X3)
| ~ r2_hidden(X1,X2) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_78,negated_conjecture,
r2_hidden(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_79,plain,
! [X21,X22,X23,X24,X25,X26] :
( ( ~ r2_hidden(X23,X22)
| X23 = X21
| X22 != k1_tarski(X21) )
& ( X24 != X21
| r2_hidden(X24,X22)
| X22 != k1_tarski(X21) )
& ( ~ r2_hidden(esk5_2(X25,X26),X26)
| esk5_2(X25,X26) != X25
| X26 = k1_tarski(X25) )
& ( r2_hidden(esk5_2(X25,X26),X26)
| esk5_2(X25,X26) = X25
| X26 = k1_tarski(X25) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])]) ).
cnf(c_0_80,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ r1_xboole_0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,negated_conjecture,
r1_xboole_0(k1_tarski(esk3_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_53,c_0_75]) ).
cnf(c_0_82,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(k1_latsum_1(esk1_0,esk2_0)),X1))
| r2_hidden(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,plain,
( r2_hidden(X1,X3)
| X1 != X2
| X3 != k1_tarski(X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
fof(c_0_85,plain,
! [X512,X513,X514] :
( ( u1_struct_0(X514) = k2_xboole_0(u1_struct_0(X512),u1_struct_0(X513))
| X514 != k1_latsum_1(X512,X513)
| ~ v1_orders_2(X514)
| ~ l1_orders_2(X514)
| ~ l1_orders_2(X513)
| ~ l1_orders_2(X512) )
& ( u1_orders_2(X514) = k2_xboole_0(k2_xboole_0(u1_orders_2(X512),u1_orders_2(X513)),k7_relset_1(u1_struct_0(X512),u1_struct_0(X512),u1_struct_0(X513),u1_struct_0(X513),u1_orders_2(X512),u1_orders_2(X513)))
| X514 != k1_latsum_1(X512,X513)
| ~ v1_orders_2(X514)
| ~ l1_orders_2(X514)
| ~ l1_orders_2(X513)
| ~ l1_orders_2(X512) )
& ( u1_struct_0(X514) != k2_xboole_0(u1_struct_0(X512),u1_struct_0(X513))
| u1_orders_2(X514) != k2_xboole_0(k2_xboole_0(u1_orders_2(X512),u1_orders_2(X513)),k7_relset_1(u1_struct_0(X512),u1_struct_0(X512),u1_struct_0(X513),u1_struct_0(X513),u1_orders_2(X512),u1_orders_2(X513)))
| X514 = k1_latsum_1(X512,X513)
| ~ v1_orders_2(X514)
| ~ l1_orders_2(X514)
| ~ l1_orders_2(X513)
| ~ l1_orders_2(X512) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_latsum_1])])])]) ).
fof(c_0_86,plain,
! [X60,X61] :
( ~ r2_hidden(X60,X61)
| ~ v1_xboole_0(X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_87,negated_conjecture,
( ~ r2_hidden(X1,u1_struct_0(esk2_0))
| ~ r2_hidden(X1,k1_tarski(esk3_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,negated_conjecture,
( m1_subset_1(esk3_0,k4_xboole_0(u1_struct_0(k1_latsum_1(esk1_0,esk2_0)),X1))
| r2_hidden(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
r2_hidden(X1,k1_tarski(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_84])]) ).
cnf(c_0_90,plain,
( u1_struct_0(X1) = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
| X1 != k1_latsum_1(X2,X3)
| ~ v1_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_91,plain,
( v1_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_92,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_93,negated_conjecture,
m1_subset_1(esk3_0,k4_xboole_0(u1_struct_0(k1_latsum_1(esk1_0,esk2_0)),u1_struct_0(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
cnf(c_0_94,plain,
( k4_xboole_0(X1,k1_tarski(X2)) != X1
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_95,negated_conjecture,
k4_xboole_0(u1_struct_0(esk2_0),k1_tarski(esk3_0)) = u1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_61,c_0_75]) ).
cnf(c_0_96,plain,
( u1_struct_0(k1_latsum_1(X1,X2)) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_90]),c_0_47]),c_0_91]) ).
cnf(c_0_97,negated_conjecture,
( r2_hidden(esk3_0,X1)
| ~ v1_xboole_0(k4_xboole_0(u1_struct_0(k1_latsum_1(esk1_0,esk2_0)),X1)) ),
inference(spm,[status(thm)],[c_0_92,c_0_83]) ).
cnf(c_0_98,negated_conjecture,
( v1_xboole_0(k4_xboole_0(u1_struct_0(k1_latsum_1(esk1_0,esk2_0)),u1_struct_0(esk2_0)))
| r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(k1_latsum_1(esk1_0,esk2_0)),u1_struct_0(esk2_0))) ),
inference(spm,[status(thm)],[c_0_27,c_0_93]) ).
cnf(c_0_99,negated_conjecture,
~ r2_hidden(esk3_0,u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,negated_conjecture,
( u1_struct_0(k1_latsum_1(esk1_0,X1)) = k2_xboole_0(u1_struct_0(esk1_0),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_49]) ).
fof(c_0_101,plain,
! [X271,X272] : k4_xboole_0(k2_xboole_0(X271,X272),X272) = k4_xboole_0(X271,X272),
inference(variable_rename,[status(thm)],[t40_xboole_1]) ).
cnf(c_0_102,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k4_xboole_0(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_103,negated_conjecture,
r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(k1_latsum_1(esk1_0,esk2_0)),u1_struct_0(esk2_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_104,negated_conjecture,
u1_struct_0(k1_latsum_1(esk1_0,esk2_0)) = k2_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_100,c_0_48]) ).
cnf(c_0_105,plain,
k4_xboole_0(k2_xboole_0(X1,X2),X2) = k4_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_106,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k4_xboole_0(X2,X3)) ),
inference(er,[status(thm)],[c_0_102]) ).
cnf(c_0_107,negated_conjecture,
r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU407+2 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 08:01:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.67/0.89 Running first-order model finding
% 0.67/0.89 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.G76wjDQqLC/E---3.1_1912.p
% 115.95/15.73 # Version: 3.1pre001
% 115.95/15.73 # Preprocessing class: FMLMSMLLSSSNFFN.
% 115.95/15.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 115.95/15.73 # Starting new_bool_3 with 900s (3) cores
% 115.95/15.73 # Starting new_bool_1 with 900s (3) cores
% 115.95/15.73 # Starting sh5l with 300s (1) cores
% 115.95/15.73 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2p with 300s (1) cores
% 115.95/15.73 # sh5l with pid 1992 completed with status 0
% 115.95/15.73 # Result found by sh5l
% 115.95/15.73 # Preprocessing class: FMLMSMLLSSSNFFN.
% 115.95/15.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 115.95/15.73 # Starting new_bool_3 with 900s (3) cores
% 115.95/15.73 # Starting new_bool_1 with 900s (3) cores
% 115.95/15.73 # Starting sh5l with 300s (1) cores
% 115.95/15.73 # SinE strategy is gf500_gu_R04_F100_L20000
% 115.95/15.73 # Search class: FGHSM-SMLM32-MFFFFFNN
% 115.95/15.73 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 115.95/15.73 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 115.95/15.73 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 2001 completed with status 0
% 115.95/15.73 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 115.95/15.73 # Preprocessing class: FMLMSMLLSSSNFFN.
% 115.95/15.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 115.95/15.73 # Starting new_bool_3 with 900s (3) cores
% 115.95/15.73 # Starting new_bool_1 with 900s (3) cores
% 115.95/15.73 # Starting sh5l with 300s (1) cores
% 115.95/15.73 # SinE strategy is gf500_gu_R04_F100_L20000
% 115.95/15.73 # Search class: FGHSM-SMLM32-MFFFFFNN
% 115.95/15.73 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 115.95/15.73 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 115.95/15.73 # Preprocessing time : 0.140 s
% 115.95/15.73 # Presaturation interreduction done
% 115.95/15.73
% 115.95/15.73 # Proof found!
% 115.95/15.73 # SZS status Theorem
% 115.95/15.73 # SZS output start CNFRefutation
% See solution above
% 115.95/15.73 # Parsed axioms : 4444
% 115.95/15.73 # Removed by relevancy pruning/SinE : 1309
% 115.95/15.73 # Initial clauses : 7228
% 115.95/15.73 # Removed in clause preprocessing : 161
% 115.95/15.73 # Initial clauses in saturation : 7067
% 115.95/15.73 # Processed clauses : 33541
% 115.95/15.73 # ...of these trivial : 953
% 115.95/15.73 # ...subsumed : 12763
% 115.95/15.73 # ...remaining for further processing : 19825
% 115.95/15.73 # Other redundant clauses eliminated : 931
% 115.95/15.73 # Clauses deleted for lack of memory : 0
% 115.95/15.73 # Backward-subsumed : 1031
% 115.95/15.73 # Backward-rewritten : 850
% 115.95/15.73 # Generated clauses : 167178
% 115.95/15.73 # ...of the previous two non-redundant : 156302
% 115.95/15.73 # ...aggressively subsumed : 0
% 115.95/15.73 # Contextual simplify-reflections : 507
% 115.95/15.73 # Paramodulations : 166279
% 115.95/15.73 # Factorizations : 7
% 115.95/15.73 # NegExts : 0
% 115.95/15.73 # Equation resolutions : 956
% 115.95/15.73 # Total rewrite steps : 52963
% 115.95/15.73 # Propositional unsat checks : 4
% 115.95/15.73 # Propositional check models : 2
% 115.95/15.73 # Propositional check unsatisfiable : 0
% 115.95/15.73 # Propositional clauses : 0
% 115.95/15.73 # Propositional clauses after purity: 0
% 115.95/15.73 # Propositional unsat core size : 0
% 115.95/15.73 # Propositional preprocessing time : 0.000
% 115.95/15.73 # Propositional encoding time : 0.208
% 115.95/15.73 # Propositional solver time : 0.203
% 115.95/15.73 # Success case prop preproc time : 0.000
% 115.95/15.73 # Success case prop encoding time : 0.000
% 115.95/15.73 # Success case prop solver time : 0.000
% 115.95/15.73 # Current number of processed clauses : 10790
% 115.95/15.73 # Positive orientable unit clauses : 3475
% 115.95/15.73 # Positive unorientable unit clauses: 8
% 115.95/15.73 # Negative unit clauses : 3838
% 115.95/15.73 # Non-unit-clauses : 3469
% 115.95/15.73 # Current number of unprocessed clauses: 135218
% 115.95/15.73 # ...number of literals in the above : 309729
% 115.95/15.73 # Current number of archived formulas : 0
% 115.95/15.73 # Current number of archived clauses : 8348
% 115.95/15.73 # Clause-clause subsumption calls (NU) : 22009912
% 115.95/15.73 # Rec. Clause-clause subsumption calls : 2040838
% 115.95/15.73 # Non-unit clause-clause subsumptions : 1842
% 115.95/15.73 # Unit Clause-clause subsumption calls : 2592214
% 115.95/15.73 # Rewrite failures with RHS unbound : 0
% 115.95/15.73 # BW rewrite match attempts : 1568
% 115.95/15.73 # BW rewrite match successes : 527
% 115.95/15.73 # Condensation attempts : 0
% 115.95/15.73 # Condensation successes : 0
% 115.95/15.73 # Termbank termtop insertions : 3136996
% 115.95/15.73
% 115.95/15.73 # -------------------------------------------------
% 115.95/15.73 # User time : 14.098 s
% 115.95/15.73 # System time : 0.241 s
% 115.95/15.73 # Total time : 14.339 s
% 115.95/15.73 # Maximum resident set size: 33128 pages
% 115.95/15.73
% 115.95/15.73 # -------------------------------------------------
% 115.95/15.73 # User time : 14.236 s
% 115.95/15.73 # System time : 0.253 s
% 115.95/15.73 # Total time : 14.489 s
% 115.95/15.73 # Maximum resident set size: 7288 pages
% 115.95/15.73 % E---3.1 exiting
%------------------------------------------------------------------------------