TSTP Solution File: LAT377+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LAT377+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : Mon May 20 23:25:12 EDT 2024
% Result : Theorem 4.89s 1.04s
% Output : CNFRefutation 4.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 102 ( 4 unt; 0 def)
% Number of atoms : 681 ( 7 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 789 ( 210 ~; 279 |; 252 &)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-5 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-3 aty)
% Number of variables : 128 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t36_altcat_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v3_altcat_2(X2,X1)
& m1_altcat_2(X2,X1) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X2)
& m1_altcat_2(X3,X2) )
=> ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X1)
& m1_altcat_2(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_altcat_4) ).
fof(dt_k8_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_waybel34) ).
fof(dt_k4_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& l2_altcat_1(k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(dt_k9_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(fc6_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v9_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v1_altcat_2(k5_waybel34(X1))
& v2_yellow18(k5_waybel34(X1))
& v3_yellow18(k5_waybel34(X1))
& v4_yellow18(k5_waybel34(X1))
& v1_yellow21(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v3_yellow21(k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).
fof(t52_yellow20,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v11_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( ( v16_functor0(X3,X1,X2)
& m2_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ! [X5] :
( ( ~ v3_struct_0(X5)
& v2_altcat_1(X5)
& v3_altcat_2(X5,X2)
& m1_altcat_2(X5,X2) )
=> ( r3_yellow20(X1,X2,X3,X4,X5)
=> r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_yellow20) ).
fof(t18_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
& k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel34) ).
fof(fc5_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v3_yellow21(k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(dt_k6_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).
fof(fc7_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).
fof(dt_k10_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k10_waybel34(X1))
& v2_altcat_1(k10_waybel34(X1))
& v6_altcat_1(k10_waybel34(X1))
& v2_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& v3_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& m1_altcat_2(k10_waybel34(X1),k8_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_waybel34) ).
fof(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(dt_k11_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k11_waybel34(X1))
& v2_altcat_1(k11_waybel34(X1))
& v6_altcat_1(k11_waybel34(X1))
& v2_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& v3_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_waybel34) ).
fof(t58_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k10_waybel34(X1),k11_waybel34(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_waybel34) ).
fof(t59_waybel34,conjecture,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k11_waybel34(X1),k10_waybel34(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_waybel34) ).
fof(dt_k5_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v3_altcat_2(X2,X1)
& m1_altcat_2(X2,X1) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X2)
& m1_altcat_2(X3,X2) )
=> ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X1)
& m1_altcat_2(X3,X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t36_altcat_4]) ).
fof(c_0_17,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_waybel34]) ).
fof(c_0_18,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& l2_altcat_1(k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_waybel34]) ).
fof(c_0_19,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_waybel34]) ).
fof(c_0_20,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v9_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v1_altcat_2(k5_waybel34(X1))
& v2_yellow18(k5_waybel34(X1))
& v3_yellow18(k5_waybel34(X1))
& v4_yellow18(k5_waybel34(X1))
& v1_yellow21(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v3_yellow21(k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_waybel34]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v11_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( ( v16_functor0(X3,X1,X2)
& m2_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ! [X5] :
( ( ~ v3_struct_0(X5)
& v2_altcat_1(X5)
& v3_altcat_2(X5,X2)
& m1_altcat_2(X5,X2) )
=> ( r3_yellow20(X1,X2,X3,X4,X5)
=> r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t52_yellow20]) ).
fof(c_0_22,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
& k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1) ) ),
inference(fof_simplification,[status(thm)],[t18_waybel34]) ).
fof(c_0_23,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v3_yellow21(k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_waybel34]) ).
fof(c_0_24,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k6_waybel34]) ).
fof(c_0_25,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc7_waybel34]) ).
fof(c_0_26,plain,
! [X55,X56,X57] :
( ( ~ v3_struct_0(X57)
| v3_struct_0(X57)
| ~ v2_altcat_1(X57)
| ~ v3_altcat_2(X57,X56)
| ~ m1_altcat_2(X57,X56)
| v3_struct_0(X56)
| ~ v2_altcat_1(X56)
| ~ v3_altcat_2(X56,X55)
| ~ m1_altcat_2(X56,X55)
| v3_struct_0(X55)
| ~ v2_altcat_1(X55)
| ~ v11_altcat_1(X55)
| ~ v12_altcat_1(X55)
| ~ l2_altcat_1(X55) )
& ( v2_altcat_1(X57)
| v3_struct_0(X57)
| ~ v2_altcat_1(X57)
| ~ v3_altcat_2(X57,X56)
| ~ m1_altcat_2(X57,X56)
| v3_struct_0(X56)
| ~ v2_altcat_1(X56)
| ~ v3_altcat_2(X56,X55)
| ~ m1_altcat_2(X56,X55)
| v3_struct_0(X55)
| ~ v2_altcat_1(X55)
| ~ v11_altcat_1(X55)
| ~ v12_altcat_1(X55)
| ~ l2_altcat_1(X55) )
& ( v3_altcat_2(X57,X55)
| v3_struct_0(X57)
| ~ v2_altcat_1(X57)
| ~ v3_altcat_2(X57,X56)
| ~ m1_altcat_2(X57,X56)
| v3_struct_0(X56)
| ~ v2_altcat_1(X56)
| ~ v3_altcat_2(X56,X55)
| ~ m1_altcat_2(X56,X55)
| v3_struct_0(X55)
| ~ v2_altcat_1(X55)
| ~ v11_altcat_1(X55)
| ~ v12_altcat_1(X55)
| ~ l2_altcat_1(X55) )
& ( m1_altcat_2(X57,X55)
| v3_struct_0(X57)
| ~ v2_altcat_1(X57)
| ~ v3_altcat_2(X57,X56)
| ~ m1_altcat_2(X57,X56)
| v3_struct_0(X56)
| ~ v2_altcat_1(X56)
| ~ v3_altcat_2(X56,X55)
| ~ m1_altcat_2(X56,X55)
| v3_struct_0(X55)
| ~ v2_altcat_1(X55)
| ~ v11_altcat_1(X55)
| ~ v12_altcat_1(X55)
| ~ l2_altcat_1(X55) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
fof(c_0_27,plain,
! [X24] :
( ( ~ v3_struct_0(k8_waybel34(X24))
| v1_xboole_0(X24) )
& ( v2_altcat_1(k8_waybel34(X24))
| v1_xboole_0(X24) )
& ( v6_altcat_1(k8_waybel34(X24))
| v1_xboole_0(X24) )
& ( v3_altcat_2(k8_waybel34(X24),k4_waybel34(X24))
| v1_xboole_0(X24) )
& ( m1_altcat_2(k8_waybel34(X24),k4_waybel34(X24))
| v1_xboole_0(X24) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
fof(c_0_28,plain,
! [X22] :
( ( ~ v3_struct_0(k4_waybel34(X22))
| v1_xboole_0(X22) )
& ( v2_altcat_1(k4_waybel34(X22))
| v1_xboole_0(X22) )
& ( v6_altcat_1(k4_waybel34(X22))
| v1_xboole_0(X22) )
& ( v11_altcat_1(k4_waybel34(X22))
| v1_xboole_0(X22) )
& ( v12_altcat_1(k4_waybel34(X22))
| v1_xboole_0(X22) )
& ( v2_yellow21(k4_waybel34(X22))
| v1_xboole_0(X22) )
& ( l2_altcat_1(k4_waybel34(X22))
| v1_xboole_0(X22) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_29,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k10_waybel34(X1))
& v2_altcat_1(k10_waybel34(X1))
& v6_altcat_1(k10_waybel34(X1))
& v2_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& v3_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& m1_altcat_2(k10_waybel34(X1),k8_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k10_waybel34]) ).
fof(c_0_30,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
fof(c_0_31,plain,
! [X28] :
( ( ~ v3_struct_0(k9_waybel34(X28))
| v2_setfam_1(X28) )
& ( v2_altcat_1(k9_waybel34(X28))
| v2_setfam_1(X28) )
& ( v6_altcat_1(k9_waybel34(X28))
| v2_setfam_1(X28) )
& ( v3_altcat_2(k9_waybel34(X28),k5_waybel34(X28))
| v2_setfam_1(X28) )
& ( m1_altcat_2(k9_waybel34(X28),k5_waybel34(X28))
| v2_setfam_1(X28) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_32,plain,
! [X29] :
( ( ~ v3_struct_0(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v2_altcat_1(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v6_altcat_1(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v9_altcat_1(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v11_altcat_1(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v12_altcat_1(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v1_altcat_2(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v2_yellow18(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v3_yellow18(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v4_yellow18(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v1_yellow21(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v2_yellow21(k5_waybel34(X29))
| v2_setfam_1(X29) )
& ( v3_yellow21(k5_waybel34(X29))
| v2_setfam_1(X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_33,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k11_waybel34(X1))
& v2_altcat_1(k11_waybel34(X1))
& v6_altcat_1(k11_waybel34(X1))
& v2_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& v3_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_waybel34]) ).
fof(c_0_34,plain,
! [X10,X11,X12,X13,X14] :
( v3_struct_0(X10)
| ~ v2_altcat_1(X10)
| ~ v11_altcat_1(X10)
| ~ v12_altcat_1(X10)
| ~ l2_altcat_1(X10)
| v3_struct_0(X11)
| ~ v2_altcat_1(X11)
| ~ v11_altcat_1(X11)
| ~ v12_altcat_1(X11)
| ~ l2_altcat_1(X11)
| ~ v16_functor0(X12,X10,X11)
| ~ m2_functor0(X12,X10,X11)
| ~ v21_functor0(X12,X10,X11)
| v3_struct_0(X13)
| ~ v2_altcat_1(X13)
| ~ v3_altcat_2(X13,X10)
| ~ m1_altcat_2(X13,X10)
| v3_struct_0(X14)
| ~ v2_altcat_1(X14)
| ~ v3_altcat_2(X14,X11)
| ~ m1_altcat_2(X14,X11)
| ~ r3_yellow20(X10,X11,X12,X13,X14)
| r3_yellow20(X11,X10,k15_functor0(X10,X11,X12),X14,X13) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_35,plain,
! [X21] :
( ( k15_functor0(k4_waybel34(X21),k5_waybel34(X21),k6_waybel34(X21)) = k7_waybel34(X21)
| v2_setfam_1(X21) )
& ( k15_functor0(k5_waybel34(X21),k4_waybel34(X21),k7_waybel34(X21)) = k6_waybel34(X21)
| v2_setfam_1(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_36,plain,
! [X25] :
( ( ~ v3_struct_0(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v2_altcat_1(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v6_altcat_1(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v9_altcat_1(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v11_altcat_1(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v12_altcat_1(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v1_altcat_2(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v2_yellow18(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v3_yellow18(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v4_yellow18(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v1_yellow21(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v2_yellow21(k4_waybel34(X25))
| v2_setfam_1(X25) )
& ( v3_yellow21(k4_waybel34(X25))
| v2_setfam_1(X25) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_37,plain,
! [X23] :
( ( v9_functor0(k6_waybel34(X23),k4_waybel34(X23),k5_waybel34(X23))
| v2_setfam_1(X23) )
& ( v16_functor0(k6_waybel34(X23),k4_waybel34(X23),k5_waybel34(X23))
| v2_setfam_1(X23) )
& ( m2_functor0(k6_waybel34(X23),k4_waybel34(X23),k5_waybel34(X23))
| v2_setfam_1(X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_38,plain,
! [X26] :
( ( v6_functor0(k6_waybel34(X26),k4_waybel34(X26),k5_waybel34(X26))
| v2_setfam_1(X26) )
& ( v8_functor0(k6_waybel34(X26),k4_waybel34(X26),k5_waybel34(X26))
| v2_setfam_1(X26) )
& ( v9_functor0(k6_waybel34(X26),k4_waybel34(X26),k5_waybel34(X26))
| v2_setfam_1(X26) )
& ( v11_functor0(k6_waybel34(X26),k4_waybel34(X26),k5_waybel34(X26))
| v2_setfam_1(X26) )
& ( v12_functor0(k6_waybel34(X26),k4_waybel34(X26),k5_waybel34(X26))
| v2_setfam_1(X26) )
& ( v14_functor0(k6_waybel34(X26),k4_waybel34(X26),k5_waybel34(X26))
| v2_setfam_1(X26) )
& ( v16_functor0(k6_waybel34(X26),k4_waybel34(X26),k5_waybel34(X26))
| v2_setfam_1(X26) )
& ( v21_functor0(k6_waybel34(X26),k4_waybel34(X26),k5_waybel34(X26))
| v2_setfam_1(X26) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_39,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k10_waybel34(X1),k11_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[t58_waybel34]) ).
cnf(c_0_40,plain,
( m1_altcat_2(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,X3)
| ~ m1_altcat_2(X1,X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X2)
| ~ m1_altcat_2(X3,X2)
| ~ v2_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41,plain,
( v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_42,plain,
( l2_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,plain,
( v2_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_44,plain,
( v2_altcat_1(k8_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,plain,
( v11_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_46,plain,
( v12_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,plain,
( m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_48,plain,
( v1_xboole_0(X1)
| ~ v3_struct_0(k8_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_49,plain,
( v1_xboole_0(X1)
| ~ v3_struct_0(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_50,plain,
! [X16] :
( ( ~ v3_struct_0(k10_waybel34(X16))
| v2_setfam_1(X16) )
& ( v2_altcat_1(k10_waybel34(X16))
| v2_setfam_1(X16) )
& ( v6_altcat_1(k10_waybel34(X16))
| v2_setfam_1(X16) )
& ( v2_altcat_2(k10_waybel34(X16),k8_waybel34(X16))
| v2_setfam_1(X16) )
& ( v3_altcat_2(k10_waybel34(X16),k8_waybel34(X16))
| v2_setfam_1(X16) )
& ( m1_altcat_2(k10_waybel34(X16),k8_waybel34(X16))
| v2_setfam_1(X16) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
fof(c_0_51,plain,
! [X30] :
( v2_setfam_1(X30)
| ~ v1_xboole_0(X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
cnf(c_0_52,plain,
( v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_53,plain,
( v2_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_54,plain,
( v2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_55,plain,
( v11_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_56,plain,
( v12_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_57,plain,
( m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_58,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_59,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_60,plain,
! [X18] :
( ( ~ v3_struct_0(k11_waybel34(X18))
| v2_setfam_1(X18) )
& ( v2_altcat_1(k11_waybel34(X18))
| v2_setfam_1(X18) )
& ( v6_altcat_1(k11_waybel34(X18))
| v2_setfam_1(X18) )
& ( v2_altcat_2(k11_waybel34(X18),k9_waybel34(X18))
| v2_setfam_1(X18) )
& ( v3_altcat_2(k11_waybel34(X18),k9_waybel34(X18))
| v2_setfam_1(X18) )
& ( m1_altcat_2(k11_waybel34(X18),k9_waybel34(X18))
| v2_setfam_1(X18) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
cnf(c_0_61,plain,
( v3_altcat_2(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,X3)
| ~ m1_altcat_2(X1,X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X2)
| ~ m1_altcat_2(X3,X2)
| ~ v2_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_62,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k11_waybel34(X1),k10_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t59_waybel34])]) ).
cnf(c_0_63,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4)
| v3_struct_0(X5)
| r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v2_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2)
| ~ v16_functor0(X3,X1,X2)
| ~ m2_functor0(X3,X1,X2)
| ~ v21_functor0(X3,X1,X2)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1)
| ~ v2_altcat_1(X5)
| ~ v3_altcat_2(X5,X2)
| ~ m1_altcat_2(X5,X2)
| ~ r3_yellow20(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_64,plain,
( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_65,plain,
( v2_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_66,plain,
( v11_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_67,plain,
( v12_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_68,plain,
( m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_69,plain,
( v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_70,plain,
( v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_71,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_72,plain,
! [X15] :
( v2_setfam_1(X15)
| r3_yellow20(k4_waybel34(X15),k5_waybel34(X15),k6_waybel34(X15),k10_waybel34(X15),k11_waybel34(X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
cnf(c_0_73,plain,
( v1_xboole_0(X1)
| m1_altcat_2(X2,k4_waybel34(X1))
| v3_struct_0(X2)
| ~ v3_altcat_2(X2,k8_waybel34(X1))
| ~ m1_altcat_2(X2,k8_waybel34(X1))
| ~ v2_altcat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_74,plain,
( v3_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_75,plain,
( v2_altcat_1(k10_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_76,plain,
( m1_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_77,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k10_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_78,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_79,plain,
( m1_altcat_2(X1,k5_waybel34(X2))
| v3_struct_0(X1)
| v2_setfam_1(X2)
| ~ v3_altcat_2(X1,k9_waybel34(X2))
| ~ m1_altcat_2(X1,k9_waybel34(X2))
| ~ v2_altcat_1(X1)
| ~ l2_altcat_1(k5_waybel34(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_80,plain,
( v3_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_81,plain,
( v2_altcat_1(k11_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_82,plain,
( m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_83,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k11_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_84,plain,
( v1_xboole_0(X1)
| v3_altcat_2(X2,k4_waybel34(X1))
| v3_struct_0(X2)
| ~ v3_altcat_2(X2,k8_waybel34(X1))
| ~ m1_altcat_2(X2,k8_waybel34(X1))
| ~ v2_altcat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_85,plain,
( v3_altcat_2(X1,k5_waybel34(X2))
| v3_struct_0(X1)
| v2_setfam_1(X2)
| ~ v3_altcat_2(X1,k9_waybel34(X2))
| ~ m1_altcat_2(X1,k9_waybel34(X2))
| ~ v2_altcat_1(X1)
| ~ l2_altcat_1(k5_waybel34(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]) ).
fof(c_0_86,negated_conjecture,
( ~ v2_setfam_1(esk1_0)
& ~ r3_yellow20(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k7_waybel34(esk1_0),k11_waybel34(esk1_0),k10_waybel34(esk1_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])]) ).
cnf(c_0_87,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r3_yellow20(k5_waybel34(X3),k4_waybel34(X3),k7_waybel34(X3),X1,X2)
| v2_setfam_1(X3)
| ~ v3_altcat_2(X1,k5_waybel34(X3))
| ~ v3_altcat_2(X2,k4_waybel34(X3))
| ~ m1_altcat_2(X1,k5_waybel34(X3))
| ~ m1_altcat_2(X2,k4_waybel34(X3))
| ~ v2_altcat_1(X1)
| ~ v2_altcat_1(X2)
| ~ l2_altcat_1(k5_waybel34(X3))
| ~ l2_altcat_1(k4_waybel34(X3))
| ~ r3_yellow20(k4_waybel34(X3),k5_waybel34(X3),k6_waybel34(X3),X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_53]),c_0_66]),c_0_55]),c_0_67]),c_0_56]),c_0_68]),c_0_69]),c_0_70]),c_0_59]),c_0_71]) ).
cnf(c_0_88,plain,
( v2_setfam_1(X1)
| r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k10_waybel34(X1),k11_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_89,plain,
( m1_altcat_2(k10_waybel34(X1),k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]) ).
cnf(c_0_90,plain,
( m1_altcat_2(k11_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_91,plain,
( v3_altcat_2(k10_waybel34(X1),k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]) ).
cnf(c_0_92,plain,
( v3_altcat_2(k11_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_80]),c_0_81]),c_0_82]),c_0_83]) ).
fof(c_0_93,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_waybel34]) ).
cnf(c_0_94,negated_conjecture,
~ r3_yellow20(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k7_waybel34(esk1_0),k11_waybel34(esk1_0),k10_waybel34(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_95,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k11_waybel34(X1),k10_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_75]),c_0_81]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_77]),c_0_83]) ).
cnf(c_0_96,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_97,plain,
! [X27] :
( ( ~ v3_struct_0(k5_waybel34(X27))
| v1_xboole_0(X27) )
& ( v2_altcat_1(k5_waybel34(X27))
| v1_xboole_0(X27) )
& ( v6_altcat_1(k5_waybel34(X27))
| v1_xboole_0(X27) )
& ( v11_altcat_1(k5_waybel34(X27))
| v1_xboole_0(X27) )
& ( v12_altcat_1(k5_waybel34(X27))
| v1_xboole_0(X27) )
& ( v2_yellow21(k5_waybel34(X27))
| v1_xboole_0(X27) )
& ( l2_altcat_1(k5_waybel34(X27))
| v1_xboole_0(X27) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])]) ).
cnf(c_0_98,negated_conjecture,
( ~ l2_altcat_1(k5_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_99,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_100,negated_conjecture,
v1_xboole_0(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_42]),c_0_99]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_100]),c_0_96]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT377+1 : TPTP v8.2.0. Released v3.4.0.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n009.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 21:17:23 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.89/1.04 # Version: 3.1.0
% 4.89/1.04 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.89/1.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.89/1.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.89/1.04 # Starting new_bool_3 with 300s (1) cores
% 4.89/1.04 # Starting new_bool_1 with 300s (1) cores
% 4.89/1.04 # Starting sh5l with 300s (1) cores
% 4.89/1.04 # sh5l with pid 23871 completed with status 0
% 4.89/1.04 # Result found by sh5l
% 4.89/1.04 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.89/1.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.89/1.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.89/1.04 # Starting new_bool_3 with 300s (1) cores
% 4.89/1.04 # Starting new_bool_1 with 300s (1) cores
% 4.89/1.04 # Starting sh5l with 300s (1) cores
% 4.89/1.04 # SinE strategy is gf500_gu_R04_F100_L20000
% 4.89/1.04 # Search class: FGHSM-FSLM31-SFFFFFNN
% 4.89/1.04 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.89/1.04 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 163s (1) cores
% 4.89/1.04 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 23879 completed with status 0
% 4.89/1.04 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 4.89/1.04 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.89/1.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.89/1.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.89/1.04 # Starting new_bool_3 with 300s (1) cores
% 4.89/1.04 # Starting new_bool_1 with 300s (1) cores
% 4.89/1.04 # Starting sh5l with 300s (1) cores
% 4.89/1.04 # SinE strategy is gf500_gu_R04_F100_L20000
% 4.89/1.04 # Search class: FGHSM-FSLM31-SFFFFFNN
% 4.89/1.04 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.89/1.04 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 163s (1) cores
% 4.89/1.04 # Preprocessing time : 0.010 s
% 4.89/1.04
% 4.89/1.04 # Proof found!
% 4.89/1.04 # SZS status Theorem
% 4.89/1.04 # SZS output start CNFRefutation
% See solution above
% 4.89/1.05 # Parsed axioms : 132
% 4.89/1.05 # Removed by relevancy pruning/SinE : 11
% 4.89/1.05 # Initial clauses : 373
% 4.89/1.05 # Removed in clause preprocessing : 30
% 4.89/1.05 # Initial clauses in saturation : 343
% 4.89/1.05 # Processed clauses : 3555
% 4.89/1.05 # ...of these trivial : 0
% 4.89/1.05 # ...subsumed : 1880
% 4.89/1.05 # ...remaining for further processing : 1675
% 4.89/1.05 # Other redundant clauses eliminated : 13
% 4.89/1.05 # Clauses deleted for lack of memory : 0
% 4.89/1.05 # Backward-subsumed : 105
% 4.89/1.05 # Backward-rewritten : 4
% 4.89/1.05 # Generated clauses : 6131
% 4.89/1.05 # ...of the previous two non-redundant : 5621
% 4.89/1.05 # ...aggressively subsumed : 0
% 4.89/1.05 # Contextual simplify-reflections : 1154
% 4.89/1.05 # Paramodulations : 6053
% 4.89/1.05 # Factorizations : 0
% 4.89/1.05 # NegExts : 0
% 4.89/1.05 # Equation resolutions : 78
% 4.89/1.05 # Disequality decompositions : 0
% 4.89/1.05 # Total rewrite steps : 472
% 4.89/1.05 # ...of those cached : 452
% 4.89/1.05 # Propositional unsat checks : 0
% 4.89/1.05 # Propositional check models : 0
% 4.89/1.05 # Propositional check unsatisfiable : 0
% 4.89/1.05 # Propositional clauses : 0
% 4.89/1.05 # Propositional clauses after purity: 0
% 4.89/1.05 # Propositional unsat core size : 0
% 4.89/1.05 # Propositional preprocessing time : 0.000
% 4.89/1.05 # Propositional encoding time : 0.000
% 4.89/1.05 # Propositional solver time : 0.000
% 4.89/1.05 # Success case prop preproc time : 0.000
% 4.89/1.05 # Success case prop encoding time : 0.000
% 4.89/1.05 # Success case prop solver time : 0.000
% 4.89/1.05 # Current number of processed clauses : 1566
% 4.89/1.05 # Positive orientable unit clauses : 54
% 4.89/1.05 # Positive unorientable unit clauses: 0
% 4.89/1.05 # Negative unit clauses : 9
% 4.89/1.05 # Non-unit-clauses : 1503
% 4.89/1.05 # Current number of unprocessed clauses: 2292
% 4.89/1.05 # ...number of literals in the above : 15162
% 4.89/1.05 # Current number of archived formulas : 0
% 4.89/1.05 # Current number of archived clauses : 109
% 4.89/1.05 # Clause-clause subsumption calls (NU) : 1545361
% 4.89/1.05 # Rec. Clause-clause subsumption calls : 245770
% 4.89/1.05 # Non-unit clause-clause subsumptions : 3139
% 4.89/1.05 # Unit Clause-clause subsumption calls : 3716
% 4.89/1.05 # Rewrite failures with RHS unbound : 0
% 4.89/1.05 # BW rewrite match attempts : 2
% 4.89/1.05 # BW rewrite match successes : 2
% 4.89/1.05 # Condensation attempts : 0
% 4.89/1.05 # Condensation successes : 0
% 4.89/1.05 # Termbank termtop insertions : 174975
% 4.89/1.05 # Search garbage collected termcells : 4015
% 4.89/1.05
% 4.89/1.05 # -------------------------------------------------
% 4.89/1.05 # User time : 0.607 s
% 4.89/1.05 # System time : 0.007 s
% 4.89/1.05 # Total time : 0.614 s
% 4.89/1.05 # Maximum resident set size: 3144 pages
% 4.89/1.05
% 4.89/1.05 # -------------------------------------------------
% 4.89/1.05 # User time : 0.610 s
% 4.89/1.05 # System time : 0.010 s
% 4.89/1.05 # Total time : 0.620 s
% 4.89/1.05 # Maximum resident set size: 1880 pages
% 4.89/1.05 % E---3.1 exiting
% 4.89/1.05 % E exiting
%------------------------------------------------------------------------------