%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT361+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:38:19 PM UTC 2026
% Result : Theorem 18.66s 12.37s
% Output : CNFRefutation 18.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 3 unt; 0 def)
% Number of atoms : 575 ( 36 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 685 ( 198 ~; 235 |; 207 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-5 aty)
% Number of variables : 109 ( 0 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t21_functor1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& v1_altcat_2(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v12_altcat_1(X2)
& v1_altcat_2(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( ( v8_functor0(X3,X1,X2)
& l2_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( v8_functor0(X4,X2,X1)
& l2_functor0(X4,X2,X1) )
=> ( g2_functor0(X2,X1,u1_functor0(X2,X1,X4),u2_functor0(X2,X1,X4)) = k15_functor0(X1,X2,X3)
=> k13_functor0(X2,X1,X2,X4,X3) = k12_functor0(X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_functor1) ).
fof(cc2_functor0,axiom,
! [X1] :
( l2_altcat_1(X1)
=> ( ( ~ v3_struct_0(X1)
& v12_altcat_1(X1) )
=> ( ~ v3_struct_0(X1)
& v1_altcat_2(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_functor0) ).
fof(dt_m2_functor0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1)
& ~ v3_struct_0(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( m2_functor0(X3,X1,X2)
=> l2_functor0(X3,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_functor0) ).
fof(dt_k7_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v9_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v16_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& m2_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_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(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(abstractness_v9_functor0,axiom,
! [X1,X2,X3] :
( ( l1_altcat_1(X1)
& l1_altcat_1(X2)
& l2_functor0(X3,X1,X2) )
=> ( v9_functor0(X3,X1,X2)
=> X3 = g2_functor0(X1,X2,u1_functor0(X1,X2,X3),u2_functor0(X1,X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v9_functor0) ).
fof(dt_l2_altcat_1,axiom,
! [X1] :
( l2_altcat_1(X1)
=> l1_altcat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
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(fc8_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v6_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v8_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v9_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v11_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v12_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v14_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v16_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v21_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_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(t19_waybel34,conjecture,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( k13_functor0(k5_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1),k7_waybel34(X1),k6_waybel34(X1)) = k12_functor0(k5_waybel34(X1))
& k13_functor0(k4_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1),k6_waybel34(X1),k7_waybel34(X1)) = k12_functor0(k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_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_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_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(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& v1_altcat_2(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v12_altcat_1(X2)
& v1_altcat_2(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( ( v8_functor0(X3,X1,X2)
& l2_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( v8_functor0(X4,X2,X1)
& l2_functor0(X4,X2,X1) )
=> ( g2_functor0(X2,X1,u1_functor0(X2,X1,X4),u2_functor0(X2,X1,X4)) = k15_functor0(X1,X2,X3)
=> k13_functor0(X2,X1,X2,X4,X3) = k12_functor0(X2) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t21_functor1]) ).
fof(c_0_17,plain,
! [X1] :
( l2_altcat_1(X1)
=> ( ( ~ v3_struct_0(X1)
& v12_altcat_1(X1) )
=> ( ~ v3_struct_0(X1)
& v1_altcat_2(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc2_functor0]) ).
fof(c_0_18,plain,
! [X577,X578,X579,X580] :
( v3_struct_0(X577)
| ~ v2_altcat_1(X577)
| ~ v12_altcat_1(X577)
| ~ v1_altcat_2(X577)
| ~ l2_altcat_1(X577)
| v3_struct_0(X578)
| ~ v2_altcat_1(X578)
| ~ v12_altcat_1(X578)
| ~ v1_altcat_2(X578)
| ~ l2_altcat_1(X578)
| ~ v8_functor0(X579,X577,X578)
| ~ l2_functor0(X579,X577,X578)
| ~ v21_functor0(X579,X577,X578)
| ~ v8_functor0(X580,X578,X577)
| ~ l2_functor0(X580,X578,X577)
| g2_functor0(X578,X577,u1_functor0(X578,X577,X580),u2_functor0(X578,X577,X580)) != k15_functor0(X577,X578,X579)
| k13_functor0(X578,X577,X578,X580,X579) = k12_functor0(X578) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_19,plain,
! [X350] :
( ( ~ v3_struct_0(X350)
| v3_struct_0(X350)
| ~ v12_altcat_1(X350)
| ~ l2_altcat_1(X350) )
& ( v1_altcat_2(X350)
| v3_struct_0(X350)
| ~ v12_altcat_1(X350)
| ~ l2_altcat_1(X350) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_20,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1)
& ~ v3_struct_0(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( m2_functor0(X3,X1,X2)
=> l2_functor0(X3,X1,X2) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_functor0]) ).
fof(c_0_21,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v9_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v16_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& m2_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_waybel34]) ).
fof(c_0_22,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_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]) ).
cnf(c_0_24,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k13_functor0(X2,X1,X2,X4,X3) = k12_functor0(X2)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ l2_altcat_1(X1)
| ~ v2_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ v1_altcat_2(X2)
| ~ l2_altcat_1(X2)
| ~ v8_functor0(X3,X1,X2)
| ~ l2_functor0(X3,X1,X2)
| ~ v21_functor0(X3,X1,X2)
| ~ v8_functor0(X4,X2,X1)
| ~ l2_functor0(X4,X2,X1)
| g2_functor0(X2,X1,u1_functor0(X2,X1,X4),u2_functor0(X2,X1,X4)) != k15_functor0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( v1_altcat_2(X1)
| v3_struct_0(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_26,plain,
! [X305,X306,X307] :
( ~ l1_altcat_1(X305)
| ~ l1_altcat_1(X306)
| ~ l2_functor0(X307,X305,X306)
| ~ v9_functor0(X307,X305,X306)
| X307 = g2_functor0(X305,X306,u1_functor0(X305,X306,X307),u2_functor0(X305,X306,X307)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v9_functor0])]) ).
fof(c_0_27,plain,
! [X407] :
( ~ l2_altcat_1(X407)
| l1_altcat_1(X407) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])]) ).
fof(c_0_28,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_29,plain,
! [X419,X420,X421] :
( v3_struct_0(X419)
| ~ v2_altcat_1(X419)
| ~ v12_altcat_1(X419)
| ~ l2_altcat_1(X419)
| v3_struct_0(X420)
| ~ v12_altcat_1(X420)
| ~ l2_altcat_1(X420)
| ~ m2_functor0(X421,X419,X420)
| l2_functor0(X421,X419,X420) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_30,plain,
! [X405] :
( ( v9_functor0(k7_waybel34(X405),k5_waybel34(X405),k4_waybel34(X405))
| v2_setfam_1(X405) )
& ( v16_functor0(k7_waybel34(X405),k5_waybel34(X405),k4_waybel34(X405))
| v2_setfam_1(X405) )
& ( m2_functor0(k7_waybel34(X405),k5_waybel34(X405),k4_waybel34(X405))
| v2_setfam_1(X405) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_31,plain,
! [X509] :
( ( ~ v3_struct_0(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v2_altcat_1(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v6_altcat_1(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v9_altcat_1(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v11_altcat_1(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v12_altcat_1(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v1_altcat_2(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v2_yellow18(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v3_yellow18(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v4_yellow18(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v1_yellow21(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v2_yellow21(k5_waybel34(X509))
| v2_setfam_1(X509) )
& ( v3_yellow21(k5_waybel34(X509))
| v2_setfam_1(X509) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_32,plain,
! [X508] :
( ( ~ v3_struct_0(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v2_altcat_1(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v6_altcat_1(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v9_altcat_1(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v11_altcat_1(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v12_altcat_1(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v1_altcat_2(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v2_yellow18(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v3_yellow18(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v4_yellow18(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v1_yellow21(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v2_yellow21(k4_waybel34(X508))
| v2_setfam_1(X508) )
& ( v3_yellow21(k4_waybel34(X508))
| v2_setfam_1(X508) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_33,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v6_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v8_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v9_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v11_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v12_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v14_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v16_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
& v21_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc8_waybel34]) ).
fof(c_0_34,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_35,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> ( k13_functor0(k5_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1),k7_waybel34(X1),k6_waybel34(X1)) = k12_functor0(k5_waybel34(X1))
& k13_functor0(k4_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1),k6_waybel34(X1),k7_waybel34(X1)) = k12_functor0(k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t19_waybel34])]) ).
cnf(c_0_36,plain,
( k13_functor0(X1,X2,X1,X3,X4) = k12_functor0(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| g2_functor0(X1,X2,u1_functor0(X1,X2,X3),u2_functor0(X1,X2,X3)) != k15_functor0(X2,X1,X4)
| ~ v21_functor0(X4,X2,X1)
| ~ v8_functor0(X3,X1,X2)
| ~ v8_functor0(X4,X2,X1)
| ~ v12_altcat_1(X1)
| ~ v12_altcat_1(X2)
| ~ v2_altcat_1(X1)
| ~ v2_altcat_1(X2)
| ~ l2_functor0(X3,X1,X2)
| ~ l2_functor0(X4,X2,X1)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_24,c_0_25]),c_0_25]) ).
cnf(c_0_37,plain,
( X3 = g2_functor0(X1,X2,u1_functor0(X1,X2,X3),u2_functor0(X1,X2,X3))
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X2)
| ~ l2_functor0(X3,X1,X2)
| ~ v9_functor0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( l1_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_39,plain,
! [X574] :
( ( k15_functor0(k4_waybel34(X574),k5_waybel34(X574),k6_waybel34(X574)) = k7_waybel34(X574)
| v2_setfam_1(X574) )
& ( k15_functor0(k5_waybel34(X574),k4_waybel34(X574),k7_waybel34(X574)) = k6_waybel34(X574)
| v2_setfam_1(X574) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l2_functor0(X3,X1,X2)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2)
| ~ m2_functor0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
( m2_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
( v2_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( v12_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44,plain,
( v12_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_46,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_47,plain,
! [X514] :
( ( v6_functor0(k7_waybel34(X514),k5_waybel34(X514),k4_waybel34(X514))
| v2_setfam_1(X514) )
& ( v8_functor0(k7_waybel34(X514),k5_waybel34(X514),k4_waybel34(X514))
| v2_setfam_1(X514) )
& ( v9_functor0(k7_waybel34(X514),k5_waybel34(X514),k4_waybel34(X514))
| v2_setfam_1(X514) )
& ( v11_functor0(k7_waybel34(X514),k5_waybel34(X514),k4_waybel34(X514))
| v2_setfam_1(X514) )
& ( v12_functor0(k7_waybel34(X514),k5_waybel34(X514),k4_waybel34(X514))
| v2_setfam_1(X514) )
& ( v14_functor0(k7_waybel34(X514),k5_waybel34(X514),k4_waybel34(X514))
| v2_setfam_1(X514) )
& ( v16_functor0(k7_waybel34(X514),k5_waybel34(X514),k4_waybel34(X514))
| v2_setfam_1(X514) )
& ( v21_functor0(k7_waybel34(X514),k5_waybel34(X514),k4_waybel34(X514))
| v2_setfam_1(X514) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_48,plain,
! [X404] :
( ( v9_functor0(k6_waybel34(X404),k4_waybel34(X404),k5_waybel34(X404))
| v2_setfam_1(X404) )
& ( v16_functor0(k6_waybel34(X404),k4_waybel34(X404),k5_waybel34(X404))
| v2_setfam_1(X404) )
& ( m2_functor0(k6_waybel34(X404),k4_waybel34(X404),k5_waybel34(X404))
| v2_setfam_1(X404) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_49,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_50,negated_conjecture,
( ~ v2_setfam_1(esk1_0)
& ( k13_functor0(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0),k7_waybel34(esk1_0),k6_waybel34(esk1_0)) != k12_functor0(k5_waybel34(esk1_0))
| k13_functor0(k4_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0),k6_waybel34(esk1_0),k7_waybel34(esk1_0)) != k12_functor0(k4_waybel34(esk1_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
cnf(c_0_51,plain,
( k13_functor0(X1,X2,X1,X3,X4) = k12_functor0(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| X3 != k15_functor0(X2,X1,X4)
| ~ v21_functor0(X4,X2,X1)
| ~ v8_functor0(X3,X1,X2)
| ~ v8_functor0(X4,X2,X1)
| ~ v12_altcat_1(X1)
| ~ v12_altcat_1(X2)
| ~ v2_altcat_1(X1)
| ~ v2_altcat_1(X2)
| ~ v9_functor0(X3,X1,X2)
| ~ l2_functor0(X3,X1,X2)
| ~ l2_functor0(X4,X2,X1)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_38]) ).
cnf(c_0_52,plain,
( k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1)
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,plain,
( l2_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1)) ),
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]) ).
cnf(c_0_54,plain,
( v2_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_55,plain,
( v8_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,plain,
( v21_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
( m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_58,plain,
! [X513] :
( ( v6_functor0(k6_waybel34(X513),k4_waybel34(X513),k5_waybel34(X513))
| v2_setfam_1(X513) )
& ( v8_functor0(k6_waybel34(X513),k4_waybel34(X513),k5_waybel34(X513))
| v2_setfam_1(X513) )
& ( v9_functor0(k6_waybel34(X513),k4_waybel34(X513),k5_waybel34(X513))
| v2_setfam_1(X513) )
& ( v11_functor0(k6_waybel34(X513),k4_waybel34(X513),k5_waybel34(X513))
| v2_setfam_1(X513) )
& ( v12_functor0(k6_waybel34(X513),k4_waybel34(X513),k5_waybel34(X513))
| v2_setfam_1(X513) )
& ( v14_functor0(k6_waybel34(X513),k4_waybel34(X513),k5_waybel34(X513))
| v2_setfam_1(X513) )
& ( v16_functor0(k6_waybel34(X513),k4_waybel34(X513),k5_waybel34(X513))
| v2_setfam_1(X513) )
& ( v21_functor0(k6_waybel34(X513),k4_waybel34(X513),k5_waybel34(X513))
| v2_setfam_1(X513) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
cnf(c_0_59,negated_conjecture,
( k13_functor0(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0),k7_waybel34(esk1_0),k6_waybel34(esk1_0)) != k12_functor0(k5_waybel34(esk1_0))
| k13_functor0(k4_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0),k6_waybel34(esk1_0),k7_waybel34(esk1_0)) != k12_functor0(k4_waybel34(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_60,plain,
( k13_functor0(k4_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1),X2,k7_waybel34(X1)) = k12_functor0(k4_waybel34(X1))
| v2_setfam_1(X1)
| X2 != k6_waybel34(X1)
| ~ v8_functor0(X2,k4_waybel34(X1),k5_waybel34(X1))
| ~ v9_functor0(X2,k4_waybel34(X1),k5_waybel34(X1))
| ~ l2_functor0(X2,k4_waybel34(X1),k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ l2_altcat_1(k5_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(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_42]),c_0_54]),c_0_43]),c_0_44]),c_0_55]),c_0_56]),c_0_46]),c_0_45]) ).
cnf(c_0_61,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,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_39]) ).
cnf(c_0_63,plain,
( l2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_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(spm,[status(thm)],[c_0_40,c_0_57]),c_0_54]),c_0_44]),c_0_43]),c_0_46]),c_0_45]) ).
cnf(c_0_64,plain,
( v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,plain,
( v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( k13_functor0(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0),k7_waybel34(esk1_0),k6_waybel34(esk1_0)) != k12_functor0(k5_waybel34(esk1_0))
| ~ v8_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ v9_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_67,plain,
( k13_functor0(k5_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1),X2,k6_waybel34(X1)) = k12_functor0(k5_waybel34(X1))
| v2_setfam_1(X1)
| X2 != k7_waybel34(X1)
| ~ v8_functor0(X2,k5_waybel34(X1),k4_waybel34(X1))
| ~ v9_functor0(X2,k5_waybel34(X1),k4_waybel34(X1))
| ~ l2_functor0(X2,k5_waybel34(X1),k4_waybel34(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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_62]),c_0_63]),c_0_54]),c_0_42]),c_0_44]),c_0_43]),c_0_64]),c_0_65]),c_0_45]),c_0_46]) ).
cnf(c_0_68,negated_conjecture,
( ~ v8_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ v8_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ v9_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ v9_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_61]) ).
cnf(c_0_69,plain,
( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_70,negated_conjecture,
( ~ v8_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ v8_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ v9_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_61]) ).
cnf(c_0_71,plain,
( v9_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_72,negated_conjecture,
( ~ v8_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ v8_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_61]) ).
cnf(c_0_73,negated_conjecture,
( ~ v8_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_64]),c_0_61]) ).
cnf(c_0_74,negated_conjecture,
( ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_55]),c_0_61]) ).
fof(c_0_75,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_76,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]) ).
fof(c_0_77,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
cnf(c_0_78,negated_conjecture,
( ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_63]),c_0_61]) ).
fof(c_0_79,plain,
! [X402] :
( ( ~ v3_struct_0(k4_waybel34(X402))
| v1_xboole_0(X402) )
& ( v2_altcat_1(k4_waybel34(X402))
| v1_xboole_0(X402) )
& ( v6_altcat_1(k4_waybel34(X402))
| v1_xboole_0(X402) )
& ( v11_altcat_1(k4_waybel34(X402))
| v1_xboole_0(X402) )
& ( v12_altcat_1(k4_waybel34(X402))
| v1_xboole_0(X402) )
& ( v2_yellow21(k4_waybel34(X402))
| v1_xboole_0(X402) )
& ( l2_altcat_1(k4_waybel34(X402))
| v1_xboole_0(X402) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])]) ).
fof(c_0_80,plain,
! [X403] :
( ( ~ v3_struct_0(k5_waybel34(X403))
| v1_xboole_0(X403) )
& ( v2_altcat_1(k5_waybel34(X403))
| v1_xboole_0(X403) )
& ( v6_altcat_1(k5_waybel34(X403))
| v1_xboole_0(X403) )
& ( v11_altcat_1(k5_waybel34(X403))
| v1_xboole_0(X403) )
& ( v12_altcat_1(k5_waybel34(X403))
| v1_xboole_0(X403) )
& ( v2_yellow21(k5_waybel34(X403))
| v1_xboole_0(X403) )
& ( l2_altcat_1(k5_waybel34(X403))
| v1_xboole_0(X403) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
fof(c_0_81,plain,
! [X355] :
( v2_setfam_1(X355)
| ~ v1_xboole_0(X355) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])]) ).
cnf(c_0_82,negated_conjecture,
( ~ l2_altcat_1(k4_waybel34(esk1_0))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_53]),c_0_61]) ).
cnf(c_0_83,plain,
( l2_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_84,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_85,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_86,negated_conjecture,
v1_xboole_0(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_87,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT361+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n004.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 21:37:02 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 18.66/12.37 % Version : CSE_E---1.7
% 18.66/12.37 % Problem : theBenchmark.p
% 18.66/12.37 % SZS status Theorem for theBenchmark.p
% 18.66/12.37 % SZS output start CNFRefutation
% See solution above
% 18.77/12.44 % Total time : 9.434s
%------------------------------------------------------------------------------