%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT377+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:05:11 PM UTC 2026
% Result : Theorem 143.31s 18.90s
% Output : CNFRefutation 143.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 104 ( 3 unt; 0 def)
% Number of atoms : 685 ( 7 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 790 ( 209 ~; 280 |; 252 &)
% ( 0 <=>; 49 =>; 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 : 132 ( 0 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t36_altcat_4,axiom,
! [X1] :
( ( l2_altcat_1(X1)
& v12_altcat_1(X1)
& v11_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_altcat_2(X2,X1)
& v3_altcat_2(X2,X1)
& v2_altcat_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m1_altcat_2(X3,X2)
& v3_altcat_2(X3,X2)
& v2_altcat_1(X3)
& ~ v3_struct_0(X3) )
=> ( m1_altcat_2(X3,X1)
& v3_altcat_2(X3,X1)
& v2_altcat_1(X3)
& ~ v3_struct_0(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_altcat_4) ).
fof(dt_k9_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& ~ v3_struct_0(k9_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(fc6_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v3_yellow21(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v1_yellow21(k5_waybel34(X1))
& v4_yellow18(k5_waybel34(X1))
& v3_yellow18(k5_waybel34(X1))
& v2_yellow18(k5_waybel34(X1))
& v1_altcat_2(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v9_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& ~ v3_struct_0(k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).
fof(dt_k8_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& ~ v3_struct_0(k8_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).
fof(dt_k4_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( l2_altcat_1(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& ~ v3_struct_0(k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(dt_k5_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( l2_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& ~ v3_struct_0(k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(t52_yellow20,axiom,
! [X1] :
( ( l2_altcat_1(X1)
& v12_altcat_1(X1)
& v11_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l2_altcat_1(X2)
& v12_altcat_1(X2)
& v11_altcat_1(X2)
& v2_altcat_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_functor0(X3,X1,X2)
& v16_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( m1_altcat_2(X4,X1)
& v3_altcat_2(X4,X1)
& v2_altcat_1(X4)
& ~ v3_struct_0(X4) )
=> ! [X5] :
( ( m1_altcat_2(X5,X2)
& v3_altcat_2(X5,X2)
& v2_altcat_1(X5)
& ~ v3_struct_0(X5) )
=> ( r3_yellow20(X1,X2,X3,X4,X5)
=> r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_yellow20) ).
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/sandbox/benchmark/theBenchmark.p',t58_waybel34) ).
fof(fc5_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v3_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& ~ v3_struct_0(k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(dt_k10_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( m1_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& v3_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& v2_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& v6_altcat_1(k10_waybel34(X1))
& v2_altcat_1(k10_waybel34(X1))
& ~ v3_struct_0(k10_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_waybel34) ).
fof(dt_k11_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& v3_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& v2_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& v6_altcat_1(k11_waybel34(X1))
& v2_altcat_1(k11_waybel34(X1))
& ~ v3_struct_0(k11_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_waybel34) ).
fof(dt_k6_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).
fof(fc7_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_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/sandbox/benchmark/theBenchmark.p',t59_waybel34) ).
fof(t18_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1)
& k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).
fof(c_0_16,plain,
! [X1] :
( ( l2_altcat_1(X1)
& v12_altcat_1(X1)
& v11_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_altcat_2(X2,X1)
& v3_altcat_2(X2,X1)
& v2_altcat_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m1_altcat_2(X3,X2)
& v3_altcat_2(X3,X2)
& v2_altcat_1(X3)
& ~ v3_struct_0(X3) )
=> ( m1_altcat_2(X3,X1)
& v3_altcat_2(X3,X1)
& v2_altcat_1(X3)
& ~ v3_struct_0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t36_altcat_4]) ).
fof(c_0_17,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& ~ v3_struct_0(k9_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_waybel34]) ).
fof(c_0_18,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v3_yellow21(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v1_yellow21(k5_waybel34(X1))
& v4_yellow18(k5_waybel34(X1))
& v3_yellow18(k5_waybel34(X1))
& v2_yellow18(k5_waybel34(X1))
& v1_altcat_2(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v9_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& ~ v3_struct_0(k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_waybel34]) ).
fof(c_0_19,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& ~ v3_struct_0(k8_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_waybel34]) ).
fof(c_0_20,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( l2_altcat_1(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& ~ v3_struct_0(k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_waybel34]) ).
fof(c_0_21,plain,
! [X244,X245,X246] :
( ( ~ l2_altcat_1(X244)
| ~ v12_altcat_1(X244)
| ~ v11_altcat_1(X244)
| ~ v2_altcat_1(X244)
| v3_struct_0(X244)
| ~ m1_altcat_2(X245,X244)
| ~ v3_altcat_2(X245,X244)
| ~ v2_altcat_1(X245)
| v3_struct_0(X245)
| ~ m1_altcat_2(X246,X245)
| ~ v3_altcat_2(X246,X245)
| ~ v2_altcat_1(X246)
| v3_struct_0(X246)
| m1_altcat_2(X246,X244) )
& ( ~ l2_altcat_1(X244)
| ~ v12_altcat_1(X244)
| ~ v11_altcat_1(X244)
| ~ v2_altcat_1(X244)
| v3_struct_0(X244)
| ~ m1_altcat_2(X245,X244)
| ~ v3_altcat_2(X245,X244)
| ~ v2_altcat_1(X245)
| v3_struct_0(X245)
| ~ m1_altcat_2(X246,X245)
| ~ v3_altcat_2(X246,X245)
| ~ v2_altcat_1(X246)
| v3_struct_0(X246)
| v3_altcat_2(X246,X244) )
& ( ~ l2_altcat_1(X244)
| ~ v12_altcat_1(X244)
| ~ v11_altcat_1(X244)
| ~ v2_altcat_1(X244)
| v3_struct_0(X244)
| ~ m1_altcat_2(X245,X244)
| ~ v3_altcat_2(X245,X244)
| ~ v2_altcat_1(X245)
| v3_struct_0(X245)
| ~ m1_altcat_2(X246,X245)
| ~ v3_altcat_2(X246,X245)
| ~ v2_altcat_1(X246)
| v3_struct_0(X246)
| v2_altcat_1(X246) )
& ( ~ l2_altcat_1(X244)
| ~ v12_altcat_1(X244)
| ~ v11_altcat_1(X244)
| ~ v2_altcat_1(X244)
| v3_struct_0(X244)
| ~ m1_altcat_2(X245,X244)
| ~ v3_altcat_2(X245,X244)
| ~ v2_altcat_1(X245)
| v3_struct_0(X245)
| ~ m1_altcat_2(X246,X245)
| ~ v3_altcat_2(X246,X245)
| ~ v2_altcat_1(X246)
| v3_struct_0(X246)
| ~ v3_struct_0(X246) ) ),
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_22,plain,
! [X108] :
( ( v2_setfam_1(X108)
| m1_altcat_2(k9_waybel34(X108),k5_waybel34(X108)) )
& ( v2_setfam_1(X108)
| v3_altcat_2(k9_waybel34(X108),k5_waybel34(X108)) )
& ( v2_setfam_1(X108)
| v6_altcat_1(k9_waybel34(X108)) )
& ( v2_setfam_1(X108)
| v2_altcat_1(k9_waybel34(X108)) )
& ( v2_setfam_1(X108)
| ~ v3_struct_0(k9_waybel34(X108)) ) ),
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_23,plain,
! [X184] :
( ( v2_setfam_1(X184)
| v3_yellow21(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v2_yellow21(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v1_yellow21(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v4_yellow18(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v3_yellow18(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v2_yellow18(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v1_altcat_2(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v12_altcat_1(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v11_altcat_1(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v9_altcat_1(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v6_altcat_1(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| v2_altcat_1(k5_waybel34(X184)) )
& ( v2_setfam_1(X184)
| ~ v3_struct_0(k5_waybel34(X184)) ) ),
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_24,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( l2_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& ~ v3_struct_0(k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_waybel34]) ).
fof(c_0_25,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
fof(c_0_26,plain,
! [X1] :
( ( l2_altcat_1(X1)
& v12_altcat_1(X1)
& v11_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l2_altcat_1(X2)
& v12_altcat_1(X2)
& v11_altcat_1(X2)
& v2_altcat_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_functor0(X3,X1,X2)
& v16_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( m1_altcat_2(X4,X1)
& v3_altcat_2(X4,X1)
& v2_altcat_1(X4)
& ~ v3_struct_0(X4) )
=> ! [X5] :
( ( m1_altcat_2(X5,X2)
& v3_altcat_2(X5,X2)
& v2_altcat_1(X5)
& ~ v3_struct_0(X5) )
=> ( 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_27,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]) ).
fof(c_0_28,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v3_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& ~ v3_struct_0(k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_waybel34]) ).
fof(c_0_29,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( m1_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& v3_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& v2_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& v6_altcat_1(k10_waybel34(X1))
& v2_altcat_1(k10_waybel34(X1))
& ~ v3_struct_0(k10_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k10_waybel34]) ).
fof(c_0_30,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& v3_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& v2_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& v6_altcat_1(k11_waybel34(X1))
& v2_altcat_1(k11_waybel34(X1))
& ~ v3_struct_0(k11_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_waybel34]) ).
fof(c_0_31,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k6_waybel34]) ).
fof(c_0_32,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc7_waybel34]) ).
fof(c_0_33,plain,
! [X107] :
( ( v1_xboole_0(X107)
| m1_altcat_2(k8_waybel34(X107),k4_waybel34(X107)) )
& ( v1_xboole_0(X107)
| v3_altcat_2(k8_waybel34(X107),k4_waybel34(X107)) )
& ( v1_xboole_0(X107)
| v6_altcat_1(k8_waybel34(X107)) )
& ( v1_xboole_0(X107)
| v2_altcat_1(k8_waybel34(X107)) )
& ( v1_xboole_0(X107)
| ~ v3_struct_0(k8_waybel34(X107)) ) ),
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_34,plain,
! [X103] :
( ( v1_xboole_0(X103)
| l2_altcat_1(k4_waybel34(X103)) )
& ( v1_xboole_0(X103)
| v2_yellow21(k4_waybel34(X103)) )
& ( v1_xboole_0(X103)
| v12_altcat_1(k4_waybel34(X103)) )
& ( v1_xboole_0(X103)
| v11_altcat_1(k4_waybel34(X103)) )
& ( v1_xboole_0(X103)
| v6_altcat_1(k4_waybel34(X103)) )
& ( v1_xboole_0(X103)
| v2_altcat_1(k4_waybel34(X103)) )
& ( v1_xboole_0(X103)
| ~ v3_struct_0(k4_waybel34(X103)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_35,plain,
( ~ l2_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v2_altcat_1(X2)
| ~ m1_altcat_2(X3,X2)
| ~ v3_altcat_2(X3,X2)
| ~ v2_altcat_1(X3)
| ~ m1_altcat_2(X1,X3)
| ~ v3_altcat_2(X1,X3)
| ~ v2_altcat_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| m1_altcat_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_36,plain,
( v2_setfam_1(X1)
| v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_37,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_38,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_39,plain,
( v2_setfam_1(X1)
| v11_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,plain,
( v2_setfam_1(X1)
| v12_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_41,plain,
( v2_setfam_1(X1)
| m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_42,plain,
( ~ v3_struct_0(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_43,plain,
( ~ v3_struct_0(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_44,plain,
! [X104] :
( ( v1_xboole_0(X104)
| l2_altcat_1(k5_waybel34(X104)) )
& ( v1_xboole_0(X104)
| v2_yellow21(k5_waybel34(X104)) )
& ( v1_xboole_0(X104)
| v12_altcat_1(k5_waybel34(X104)) )
& ( v1_xboole_0(X104)
| v11_altcat_1(k5_waybel34(X104)) )
& ( v1_xboole_0(X104)
| v6_altcat_1(k5_waybel34(X104)) )
& ( v1_xboole_0(X104)
| v2_altcat_1(k5_waybel34(X104)) )
& ( v1_xboole_0(X104)
| ~ v3_struct_0(k5_waybel34(X104)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_45,plain,
! [X60] :
( ~ v1_xboole_0(X60)
| v2_setfam_1(X60) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
cnf(c_0_46,plain,
( ~ l2_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v2_altcat_1(X2)
| ~ m1_altcat_2(X3,X2)
| ~ v3_altcat_2(X3,X2)
| ~ v2_altcat_1(X3)
| ~ m1_altcat_2(X1,X3)
| ~ v3_altcat_2(X1,X3)
| ~ v2_altcat_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| v3_altcat_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_47,plain,
! [X252,X253,X254,X255,X256] :
( r3_yellow20(X253,X252,k15_functor0(X252,X253,X254),X256,X255)
| ~ r3_yellow20(X252,X253,X254,X255,X256)
| ~ m1_altcat_2(X256,X253)
| ~ v3_altcat_2(X256,X253)
| ~ v2_altcat_1(X256)
| v3_struct_0(X256)
| ~ m1_altcat_2(X255,X252)
| ~ v3_altcat_2(X255,X252)
| ~ v2_altcat_1(X255)
| v3_struct_0(X255)
| ~ v21_functor0(X254,X252,X253)
| ~ m2_functor0(X254,X252,X253)
| ~ v16_functor0(X254,X252,X253)
| ~ l2_altcat_1(X253)
| ~ v12_altcat_1(X253)
| ~ v11_altcat_1(X253)
| ~ v2_altcat_1(X253)
| v3_struct_0(X253)
| ~ l2_altcat_1(X252)
| ~ v12_altcat_1(X252)
| ~ v11_altcat_1(X252)
| ~ v2_altcat_1(X252)
| v3_struct_0(X252) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_48,plain,
! [X257] :
( r3_yellow20(k4_waybel34(X257),k5_waybel34(X257),k6_waybel34(X257),k10_waybel34(X257),k11_waybel34(X257))
| v2_setfam_1(X257) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
fof(c_0_49,plain,
! [X183] :
( ( v2_setfam_1(X183)
| v3_yellow21(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v2_yellow21(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v1_yellow21(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v4_yellow18(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v3_yellow18(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v2_yellow18(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v1_altcat_2(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v12_altcat_1(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v11_altcat_1(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v9_altcat_1(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v6_altcat_1(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| v2_altcat_1(k4_waybel34(X183)) )
& ( v2_setfam_1(X183)
| ~ v3_struct_0(k4_waybel34(X183)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_50,plain,
! [X93] :
( ( v2_setfam_1(X93)
| m1_altcat_2(k10_waybel34(X93),k8_waybel34(X93)) )
& ( v2_setfam_1(X93)
| v3_altcat_2(k10_waybel34(X93),k8_waybel34(X93)) )
& ( v2_setfam_1(X93)
| v2_altcat_2(k10_waybel34(X93),k8_waybel34(X93)) )
& ( v2_setfam_1(X93)
| v6_altcat_1(k10_waybel34(X93)) )
& ( v2_setfam_1(X93)
| v2_altcat_1(k10_waybel34(X93)) )
& ( v2_setfam_1(X93)
| ~ v3_struct_0(k10_waybel34(X93)) ) ),
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,
! [X94] :
( ( v2_setfam_1(X94)
| m1_altcat_2(k11_waybel34(X94),k9_waybel34(X94)) )
& ( v2_setfam_1(X94)
| v3_altcat_2(k11_waybel34(X94),k9_waybel34(X94)) )
& ( v2_setfam_1(X94)
| v2_altcat_2(k11_waybel34(X94),k9_waybel34(X94)) )
& ( v2_setfam_1(X94)
| v6_altcat_1(k11_waybel34(X94)) )
& ( v2_setfam_1(X94)
| v2_altcat_1(k11_waybel34(X94)) )
& ( v2_setfam_1(X94)
| ~ v3_struct_0(k11_waybel34(X94)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
fof(c_0_52,plain,
! [X105] :
( ( v2_setfam_1(X105)
| m2_functor0(k6_waybel34(X105),k4_waybel34(X105),k5_waybel34(X105)) )
& ( v2_setfam_1(X105)
| v16_functor0(k6_waybel34(X105),k4_waybel34(X105),k5_waybel34(X105)) )
& ( v2_setfam_1(X105)
| v9_functor0(k6_waybel34(X105),k4_waybel34(X105),k5_waybel34(X105)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_53,plain,
! [X188] :
( ( v2_setfam_1(X188)
| v21_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188)) )
& ( v2_setfam_1(X188)
| v16_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188)) )
& ( v2_setfam_1(X188)
| v14_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188)) )
& ( v2_setfam_1(X188)
| v12_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188)) )
& ( v2_setfam_1(X188)
| v11_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188)) )
& ( v2_setfam_1(X188)
| v9_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188)) )
& ( v2_setfam_1(X188)
| v8_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188)) )
& ( v2_setfam_1(X188)
| v6_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_54,plain,
( v1_xboole_0(X1)
| v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_55,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_56,plain,
( v1_xboole_0(X1)
| v2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_57,plain,
( v1_xboole_0(X1)
| v2_altcat_1(k8_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_58,plain,
( v1_xboole_0(X1)
| v11_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_59,plain,
( v1_xboole_0(X1)
| v12_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_60,plain,
( v1_xboole_0(X1)
| m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_61,plain,
( ~ v3_struct_0(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_62,plain,
( ~ v3_struct_0(k8_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_63,plain,
( ~ l2_altcat_1(k5_waybel34(X2))
| ~ v2_altcat_1(X1)
| ~ m1_altcat_2(X1,k9_waybel34(X2))
| ~ v3_altcat_2(X1,k9_waybel34(X2))
| v2_setfam_1(X2)
| v3_struct_0(X1)
| m1_altcat_2(X1,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_35,c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_64,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_65,plain,
( ~ v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_66,plain,
( ~ l2_altcat_1(k5_waybel34(X2))
| ~ v2_altcat_1(X1)
| ~ m1_altcat_2(X1,k9_waybel34(X2))
| ~ v3_altcat_2(X1,k9_waybel34(X2))
| v2_setfam_1(X2)
| v3_struct_0(X1)
| v3_altcat_2(X1,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_46,c_0_41]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_36]),c_0_42]),c_0_43]) ).
fof(c_0_67,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(assume_negation,[status(cth)],[t59_waybel34]) ).
cnf(c_0_68,plain,
( ~ r3_yellow20(X1,X2,X3,X4,X5)
| ~ m1_altcat_2(X5,X2)
| ~ v3_altcat_2(X5,X2)
| ~ v2_altcat_1(X5)
| ~ m1_altcat_2(X4,X1)
| ~ v3_altcat_2(X4,X1)
| ~ v2_altcat_1(X4)
| ~ v21_functor0(X3,X1,X2)
| ~ m2_functor0(X3,X1,X2)
| ~ v16_functor0(X3,X1,X2)
| ~ l2_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v2_altcat_1(X2)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v2_altcat_1(X1)
| r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4)
| v3_struct_0(X5)
| v3_struct_0(X4)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_69,plain,
( r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k10_waybel34(X1),k11_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_70,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_71,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k10_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_72,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k11_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_73,plain,
( v2_setfam_1(X1)
| v11_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_74,plain,
( v2_setfam_1(X1)
| v12_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_75,plain,
( v2_setfam_1(X1)
| m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_76,plain,
( v2_setfam_1(X1)
| v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_77,plain,
( v2_setfam_1(X1)
| v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_78,plain,
( ~ v3_struct_0(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_79,plain,
( ~ v3_struct_0(k10_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_80,plain,
( ~ v3_struct_0(k11_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_81,plain,
( ~ v2_altcat_1(X2)
| ~ m1_altcat_2(X2,k8_waybel34(X1))
| ~ v3_altcat_2(X2,k8_waybel34(X1))
| v3_struct_0(X2)
| m1_altcat_2(X2,k4_waybel34(X1))
| v1_xboole_0(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_35,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]) ).
cnf(c_0_82,plain,
( v2_setfam_1(X1)
| v3_altcat_2(k10_waybel34(X1),k8_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_83,plain,
( v2_setfam_1(X1)
| m1_altcat_2(k10_waybel34(X1),k8_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_84,plain,
( ~ v2_altcat_1(X1)
| ~ m1_altcat_2(X1,k9_waybel34(X2))
| ~ v3_altcat_2(X1,k9_waybel34(X2))
| v2_setfam_1(X2)
| v3_struct_0(X1)
| m1_altcat_2(X1,k5_waybel34(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_85,plain,
( v2_setfam_1(X1)
| v3_altcat_2(k11_waybel34(X1),k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_86,plain,
( v2_setfam_1(X1)
| m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_87,plain,
( ~ v2_altcat_1(X2)
| ~ m1_altcat_2(X2,k8_waybel34(X1))
| ~ v3_altcat_2(X2,k8_waybel34(X1))
| v3_struct_0(X2)
| v3_altcat_2(X2,k4_waybel34(X1))
| v1_xboole_0(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_46,c_0_60]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_54]),c_0_61]),c_0_62]) ).
cnf(c_0_88,plain,
( ~ v2_altcat_1(X1)
| ~ m1_altcat_2(X1,k9_waybel34(X2))
| ~ v3_altcat_2(X1,k9_waybel34(X2))
| v2_setfam_1(X2)
| v3_struct_0(X1)
| v3_altcat_2(X1,k5_waybel34(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_64]),c_0_65]) ).
fof(c_0_89,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1)
& k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1) ) ),
inference(fof_simplification,[status(thm)],[t18_waybel34]) ).
fof(c_0_90,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)],[c_0_67]) ).
cnf(c_0_91,plain,
( ~ l2_altcat_1(k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ m1_altcat_2(k10_waybel34(X1),k4_waybel34(X1))
| ~ m1_altcat_2(k11_waybel34(X1),k5_waybel34(X1))
| ~ v3_altcat_2(k10_waybel34(X1),k4_waybel34(X1))
| ~ v3_altcat_2(k11_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1)
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),k11_waybel34(X1),k10_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(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_68,c_0_69]),c_0_70]),c_0_37]),c_0_71]),c_0_72]),c_0_73]),c_0_39]),c_0_74]),c_0_40]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_42]),c_0_79]),c_0_80]) ).
cnf(c_0_92,plain,
( v2_setfam_1(X1)
| m1_altcat_2(k10_waybel34(X1),k4_waybel34(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_71]),c_0_83]),c_0_79]),c_0_65]) ).
cnf(c_0_93,plain,
( v2_setfam_1(X1)
| m1_altcat_2(k11_waybel34(X1),k5_waybel34(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_72]),c_0_86]),c_0_80]) ).
cnf(c_0_94,plain,
( v2_setfam_1(X1)
| v3_altcat_2(k10_waybel34(X1),k4_waybel34(X1)) ),
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_83]),c_0_71]),c_0_82]),c_0_79]),c_0_65]) ).
cnf(c_0_95,plain,
( v2_setfam_1(X1)
| v3_altcat_2(k11_waybel34(X1),k5_waybel34(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_86]),c_0_72]),c_0_85]),c_0_80]) ).
fof(c_0_96,plain,
! [X239] :
( ( v2_setfam_1(X239)
| k15_functor0(k5_waybel34(X239),k4_waybel34(X239),k7_waybel34(X239)) = k6_waybel34(X239) )
& ( v2_setfam_1(X239)
| k15_functor0(k4_waybel34(X239),k5_waybel34(X239),k6_waybel34(X239)) = k7_waybel34(X239) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])]) ).
fof(c_0_97,negated_conjecture,
( ~ r3_yellow20(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k7_waybel34(esk1_0),k11_waybel34(esk1_0),k10_waybel34(esk1_0))
& ~ v2_setfam_1(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])])]) ).
cnf(c_0_98,plain,
( v2_setfam_1(X1)
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),k11_waybel34(X1),k10_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(spm,[status(thm)],[c_0_91,c_0_64]),c_0_55]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_65]) ).
cnf(c_0_99,plain,
( v2_setfam_1(X1)
| k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_100,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_97]) ).
cnf(c_0_101,plain,
( v2_setfam_1(X1)
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k11_waybel34(X1),k10_waybel34(X1)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT377+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 23:56:18 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 143.31/18.90 % Version: 3.5.1
% 143.31/18.90 % Preprocessing class: FSLSSMSSSSSNFFN.
% 143.31/18.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 143.31/18.90 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 143.31/18.90 % Starting new_bool_3 with 300s (1) cores
% 143.31/18.90 % Starting new_bool_1 with 300s (1) cores
% 143.31/18.90 % Starting sh5l with 300s (1) cores
% 143.31/18.90 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1539828 completed with status 0
% 143.31/18.90 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 143.31/18.90 % Preprocessing class: FSLSSMSSSSSNFFN.
% 143.31/18.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 143.31/18.90 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 143.31/18.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 143.31/18.90 % No SInE strategy applied
% 143.31/18.90 % Search class: FGHSM-FSLM31-SFFFFFNN
% 143.31/18.90 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 143.31/18.90 % Starting SubtermCWHack with 136s (1) cores
% 143.31/18.90 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 143.31/18.90 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0e with 136s (1) cores
% 143.31/18.90 % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 143.31/18.90 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 143.31/18.90 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1539836 completed with status 0
% 143.31/18.90 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 143.31/18.90 % Preprocessing class: FSLSSMSSSSSNFFN.
% 143.31/18.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 143.31/18.90 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 143.31/18.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 143.31/18.90 % No SInE strategy applied
% 143.31/18.90 % Search class: FGHSM-FSLM31-SFFFFFNN
% 143.31/18.90 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 143.31/18.90 % Starting SubtermCWHack with 136s (1) cores
% 143.31/18.90 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 143.31/18.90 % Preprocessing time : 0.004 s
% 143.31/18.90 % Presaturation interreduction done
% 143.31/18.90
% 143.31/18.90 % Proof found!
% 143.31/18.90 % SZS status Theorem
% 143.31/18.90 % SZS output start CNFRefutation
% See solution above
% 143.31/18.90 % Parsed axioms : 132
% 143.31/18.90 % Removed by relevancy pruning/SinE : 0
% 143.31/18.90 % Initial clauses : 385
% 143.31/18.90 % Removed in clause preprocessing : 39
% 143.31/18.90 % Initial clauses in saturation : 346
% 143.31/18.90 % Processed clauses : 61574
% 143.31/18.90 % ...of these trivial : 1
% 143.31/18.90 % ...subsumed : 50851
% 143.31/18.90 % ...remaining for further processing : 10722
% 143.31/18.90 % Other redundant clauses eliminated : 159
% 143.31/18.90 % Clauses deleted for lack of memory : 0
% 143.31/18.90 % Backward-subsumed : 176
% 143.31/18.90 % Backward-rewritten : 4
% 143.31/18.90 % Generated clauses : 372244
% 143.31/18.90 % ...of the previous two non-redundant : 361531
% 143.31/18.90 % ...aggressively subsumed : 0
% 143.31/18.90 % Contextual simplify-reflections : 1679
% 143.31/18.90 % Paramodulations : 372075
% 143.31/18.90 % Factorizations : 0
% 143.31/18.90 % NegExts : 0
% 143.31/18.90 % Equation resolutions : 169
% 143.31/18.90 % Disequality decompositions : 0
% 143.31/18.90 % Total rewrite steps : 17781
% 143.31/18.90 % ...of those cached : 17745
% 143.31/18.90 % Propositional unsat checks : 2
% 143.31/18.90 % Propositional check models : 1
% 143.31/18.90 % Propositional check unsatisfiable : 0
% 143.31/18.90 % Propositional clauses : 0
% 143.31/18.90 % Propositional clauses after purity: 0
% 143.31/18.90 % Propositional unsat core size : 0
% 143.31/18.90 % Propositional preprocessing time : 0.000
% 143.31/18.90 % Propositional encoding time : 0.599
% 143.31/18.90 % Propositional solver time : 0.087
% 143.31/18.90 % Success case prop preproc time : 0.000
% 143.31/18.90 % Success case prop encoding time : 0.000
% 143.31/18.90 % Success case prop solver time : 0.000
% 143.31/18.90 % Current number of processed clauses : 10212
% 143.31/18.90 % Positive orientable unit clauses : 70
% 143.31/18.90 % Positive unorientable unit clauses: 0
% 143.31/18.90 % Negative unit clauses : 8
% 143.31/18.90 % Non-unit-clauses : 10134
% 143.31/18.90 % Current number of unprocessed clauses: 300060
% 143.31/18.90 % ...number of literals in the above : 1887945
% 143.31/18.90 % Current number of archived formulas : 0
% 143.31/18.90 % Current number of archived clauses : 510
% 143.31/18.90 % Clause-clause subsumption calls (NU) : 46451558
% 143.31/18.90 % Rec. Clause-clause subsumption calls : 6922331
% 143.31/18.90 % Non-unit clause-clause subsumptions : 52706
% 143.31/18.90 % Unit Clause-clause subsumption calls : 5665
% 143.31/18.90 % Rewrite failures with RHS unbound : 0
% 143.31/18.90 % BW rewrite match attempts : 9
% 143.31/18.90 % BW rewrite match successes : 1
% 143.31/18.90 % Condensation attempts : 0
% 143.31/18.90 % Condensation successes : 0
% 143.31/18.90 % Termbank termtop insertions : 12166127
% 143.31/18.90 % Search garbage collected termcells : 4150
% 143.31/18.90
% 143.31/18.90 % -------------------------------------------------
% 143.31/18.90 % User time : 17.385 s
% 143.31/18.90 % System time : 0.242 s
% 143.31/18.90 % Total time : 17.627 s
% 143.31/18.90 % Maximum resident set size: 4592 pages
% 143.31/18.90
% 143.31/18.90 % -------------------------------------------------
% 143.31/18.90 % User time : 85.240 s
% 143.31/18.90 % System time : 2.886 s
% 143.31/18.90 % Total time : 88.125 s
% 143.31/18.90 % Maximum resident set size: 4864 pages
% 143.31/18.90 % E exiting
%------------------------------------------------------------------------------