%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT376+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 80.57s 12.21s
% Output : CNFRefutation 80.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 3 unt; 0 def)
% Number of atoms : 445 ( 7 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 480 ( 106 ~; 142 |; 193 &)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 1 prp; 0-5 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 83 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',t52_yellow20) ).
fof(t56_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_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/sandbox2/benchmark/theBenchmark.p',fc5_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/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).
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/sandbox2/benchmark/theBenchmark.p',dt_k9_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fc7_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/sandbox2/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/sandbox2/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/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(t57_waybel34,conjecture,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_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/sandbox2/benchmark/theBenchmark.p',t18_waybel34) ).
fof(c_0_13,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_14,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[t56_waybel34]) ).
fof(c_0_15,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_16,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_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)
=> ( 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_19,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_20,plain,
! [X244,X245,X246,X247,X248] :
( r3_yellow20(X245,X244,k15_functor0(X244,X245,X246),X248,X247)
| ~ r3_yellow20(X244,X245,X246,X247,X248)
| ~ m1_altcat_2(X248,X245)
| ~ v3_altcat_2(X248,X245)
| ~ v2_altcat_1(X248)
| v3_struct_0(X248)
| ~ m1_altcat_2(X247,X244)
| ~ v3_altcat_2(X247,X244)
| ~ v2_altcat_1(X247)
| v3_struct_0(X247)
| ~ v21_functor0(X246,X244,X245)
| ~ m2_functor0(X246,X244,X245)
| ~ v16_functor0(X246,X244,X245)
| ~ l2_altcat_1(X245)
| ~ v12_altcat_1(X245)
| ~ v11_altcat_1(X245)
| ~ v2_altcat_1(X245)
| v3_struct_0(X245)
| ~ l2_altcat_1(X244)
| ~ v12_altcat_1(X244)
| ~ v11_altcat_1(X244)
| ~ v2_altcat_1(X244)
| v3_struct_0(X244) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_21,plain,
! [X249] :
( r3_yellow20(k4_waybel34(X249),k5_waybel34(X249),k6_waybel34(X249),k8_waybel34(X249),k9_waybel34(X249))
| v2_setfam_1(X249) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_22,plain,
! [X180] :
( ( v2_setfam_1(X180)
| v3_yellow21(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v2_yellow21(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v1_yellow21(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v4_yellow18(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v3_yellow18(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v2_yellow18(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v1_altcat_2(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v12_altcat_1(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v11_altcat_1(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v9_altcat_1(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v6_altcat_1(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| v2_altcat_1(k4_waybel34(X180)) )
& ( v2_setfam_1(X180)
| ~ v3_struct_0(k4_waybel34(X180)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_23,plain,
! [X181] :
( ( v2_setfam_1(X181)
| v3_yellow21(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v2_yellow21(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v1_yellow21(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v4_yellow18(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v3_yellow18(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v2_yellow18(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v1_altcat_2(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v12_altcat_1(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v11_altcat_1(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v9_altcat_1(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v6_altcat_1(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| v2_altcat_1(k5_waybel34(X181)) )
& ( v2_setfam_1(X181)
| ~ v3_struct_0(k5_waybel34(X181)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_24,plain,
! [X106] :
( ( v2_setfam_1(X106)
| m1_altcat_2(k9_waybel34(X106),k5_waybel34(X106)) )
& ( v2_setfam_1(X106)
| v3_altcat_2(k9_waybel34(X106),k5_waybel34(X106)) )
& ( v2_setfam_1(X106)
| v6_altcat_1(k9_waybel34(X106)) )
& ( v2_setfam_1(X106)
| v2_altcat_1(k9_waybel34(X106)) )
& ( v2_setfam_1(X106)
| ~ v3_struct_0(k9_waybel34(X106)) ) ),
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_25,plain,
! [X103] :
( ( v2_setfam_1(X103)
| m2_functor0(k6_waybel34(X103),k4_waybel34(X103),k5_waybel34(X103)) )
& ( v2_setfam_1(X103)
| v16_functor0(k6_waybel34(X103),k4_waybel34(X103),k5_waybel34(X103)) )
& ( v2_setfam_1(X103)
| v9_functor0(k6_waybel34(X103),k4_waybel34(X103),k5_waybel34(X103)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_26,plain,
! [X185] :
( ( v2_setfam_1(X185)
| v21_functor0(k6_waybel34(X185),k4_waybel34(X185),k5_waybel34(X185)) )
& ( v2_setfam_1(X185)
| v16_functor0(k6_waybel34(X185),k4_waybel34(X185),k5_waybel34(X185)) )
& ( v2_setfam_1(X185)
| v14_functor0(k6_waybel34(X185),k4_waybel34(X185),k5_waybel34(X185)) )
& ( v2_setfam_1(X185)
| v12_functor0(k6_waybel34(X185),k4_waybel34(X185),k5_waybel34(X185)) )
& ( v2_setfam_1(X185)
| v11_functor0(k6_waybel34(X185),k4_waybel34(X185),k5_waybel34(X185)) )
& ( v2_setfam_1(X185)
| v9_functor0(k6_waybel34(X185),k4_waybel34(X185),k5_waybel34(X185)) )
& ( v2_setfam_1(X185)
| v8_functor0(k6_waybel34(X185),k4_waybel34(X185),k5_waybel34(X185)) )
& ( v2_setfam_1(X185)
| v6_functor0(k6_waybel34(X185),k4_waybel34(X185),k5_waybel34(X185)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_27,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_28,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_29,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_30,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
fof(c_0_31,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1)) ),
inference(assume_negation,[status(cth)],[t57_waybel34]) ).
cnf(c_0_32,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_20]) ).
cnf(c_0_33,plain,
( r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,plain,
( v2_setfam_1(X1)
| v11_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_38,plain,
( v2_setfam_1(X1)
| v11_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_39,plain,
( v2_setfam_1(X1)
| v12_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
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_24]) ).
cnf(c_0_42,plain,
( v2_setfam_1(X1)
| v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_43,plain,
( v2_setfam_1(X1)
| m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,plain,
( v2_setfam_1(X1)
| v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_45,plain,
( v2_setfam_1(X1)
| v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_46,plain,
( ~ v3_struct_0(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_47,plain,
( ~ v3_struct_0(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_48,plain,
( ~ v3_struct_0(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_49,plain,
! [X105] :
( ( v1_xboole_0(X105)
| m1_altcat_2(k8_waybel34(X105),k4_waybel34(X105)) )
& ( v1_xboole_0(X105)
| v3_altcat_2(k8_waybel34(X105),k4_waybel34(X105)) )
& ( v1_xboole_0(X105)
| v6_altcat_1(k8_waybel34(X105)) )
& ( v1_xboole_0(X105)
| v2_altcat_1(k8_waybel34(X105)) )
& ( v1_xboole_0(X105)
| ~ v3_struct_0(k8_waybel34(X105)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_50,plain,
! [X101] :
( ( v1_xboole_0(X101)
| l2_altcat_1(k4_waybel34(X101)) )
& ( v1_xboole_0(X101)
| v2_yellow21(k4_waybel34(X101)) )
& ( v1_xboole_0(X101)
| v12_altcat_1(k4_waybel34(X101)) )
& ( v1_xboole_0(X101)
| v11_altcat_1(k4_waybel34(X101)) )
& ( v1_xboole_0(X101)
| v6_altcat_1(k4_waybel34(X101)) )
& ( v1_xboole_0(X101)
| v2_altcat_1(k4_waybel34(X101)) )
& ( v1_xboole_0(X101)
| ~ v3_struct_0(k4_waybel34(X101)) ) ),
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_51,plain,
! [X102] :
( ( v1_xboole_0(X102)
| l2_altcat_1(k5_waybel34(X102)) )
& ( v1_xboole_0(X102)
| v2_yellow21(k5_waybel34(X102)) )
& ( v1_xboole_0(X102)
| v12_altcat_1(k5_waybel34(X102)) )
& ( v1_xboole_0(X102)
| v11_altcat_1(k5_waybel34(X102)) )
& ( v1_xboole_0(X102)
| v6_altcat_1(k5_waybel34(X102)) )
& ( v1_xboole_0(X102)
| v2_altcat_1(k5_waybel34(X102)) )
& ( v1_xboole_0(X102)
| ~ v3_struct_0(k5_waybel34(X102)) ) ),
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_52,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_30])])]) ).
fof(c_0_53,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_54,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
cnf(c_0_55,plain,
( ~ l2_altcat_1(k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ v2_altcat_1(k8_waybel34(X1))
| ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ v3_altcat_2(k8_waybel34(X1),k4_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)),k9_waybel34(X1),k8_waybel34(X1))
| v3_struct_0(k8_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_32,c_0_33]),c_0_34]),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]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]) ).
cnf(c_0_56,plain,
( v1_xboole_0(X1)
| v2_altcat_1(k8_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
( v1_xboole_0(X1)
| m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( v1_xboole_0(X1)
| v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,plain,
( ~ v3_struct_0(k8_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
( ~ v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_63,plain,
! [X234] :
( ( v2_setfam_1(X234)
| k15_functor0(k5_waybel34(X234),k4_waybel34(X234),k7_waybel34(X234)) = k6_waybel34(X234) )
& ( v2_setfam_1(X234)
| k15_functor0(k4_waybel34(X234),k5_waybel34(X234),k6_waybel34(X234)) = k7_waybel34(X234) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_64,negated_conjecture,
( ~ r3_yellow20(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k7_waybel34(esk1_0),k9_waybel34(esk1_0),k8_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_54])])])]) ).
cnf(c_0_65,plain,
( v2_setfam_1(X1)
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),k9_waybel34(X1),k8_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_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_66,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_63]) ).
cnf(c_0_67,negated_conjecture,
~ r3_yellow20(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k7_waybel34(esk1_0),k9_waybel34(esk1_0),k8_waybel34(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_68,plain,
( v2_setfam_1(X1)
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT376+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n004.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 23:55:05 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 80.57/12.21 % Version: 3.5.1
% 80.57/12.21 % Preprocessing class: FSLSSMSSSSSNFFN.
% 80.57/12.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.57/12.21 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 80.57/12.21 % Starting new_bool_3 with 300s (1) cores
% 80.57/12.21 % Starting new_bool_1 with 300s (1) cores
% 80.57/12.21 % Starting sh5l with 300s (1) cores
% 80.57/12.21 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1810975 completed with status 0
% 80.57/12.21 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 80.57/12.21 % Preprocessing class: FSLSSMSSSSSNFFN.
% 80.57/12.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.57/12.21 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 80.57/12.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 80.57/12.21 % No SInE strategy applied
% 80.57/12.21 % Search class: FGHSM-FSLM31-SFFFFFNN
% 80.57/12.21 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 80.57/12.21 % Starting SubtermCWHack with 136s (1) cores
% 80.57/12.21 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 80.57/12.21 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0e with 136s (1) cores
% 80.57/12.21 % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 80.57/12.21 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 80.57/12.21 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1810982 completed with status 0
% 80.57/12.21 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 80.57/12.21 % Preprocessing class: FSLSSMSSSSSNFFN.
% 80.57/12.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.57/12.21 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 80.57/12.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 80.57/12.21 % No SInE strategy applied
% 80.57/12.21 % Search class: FGHSM-FSLM31-SFFFFFNN
% 80.57/12.21 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 80.57/12.21 % Starting SubtermCWHack with 136s (1) cores
% 80.57/12.21 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 80.57/12.21 % Preprocessing time : 0.006 s
% 80.57/12.21 % Presaturation interreduction done
% 80.57/12.21
% 80.57/12.21 % Proof found!
% 80.57/12.21 % SZS status Theorem
% 80.57/12.21 % SZS output start CNFRefutation
% See solution above
% 80.57/12.21 % Parsed axioms : 127
% 80.57/12.21 % Removed by relevancy pruning/SinE : 0
% 80.57/12.21 % Initial clauses : 345
% 80.57/12.21 % Removed in clause preprocessing : 37
% 80.57/12.21 % Initial clauses in saturation : 308
% 80.57/12.21 % Processed clauses : 43837
% 80.57/12.21 % ...of these trivial : 0
% 80.57/12.21 % ...subsumed : 35649
% 80.57/12.21 % ...remaining for further processing : 8188
% 80.57/12.21 % Other redundant clauses eliminated : 159
% 80.57/12.21 % Clauses deleted for lack of memory : 0
% 80.57/12.21 % Backward-subsumed : 155
% 80.57/12.21 % Backward-rewritten : 4
% 80.57/12.21 % Generated clauses : 256375
% 80.57/12.21 % ...of the previous two non-redundant : 249341
% 80.57/12.21 % ...aggressively subsumed : 0
% 80.57/12.21 % Contextual simplify-reflections : 961
% 80.57/12.21 % Paramodulations : 256206
% 80.57/12.21 % Factorizations : 0
% 80.57/12.21 % NegExts : 0
% 80.57/12.21 % Equation resolutions : 169
% 80.57/12.21 % Disequality decompositions : 0
% 80.57/12.21 % Total rewrite steps : 10511
% 80.57/12.21 % ...of those cached : 10475
% 80.57/12.21 % Propositional unsat checks : 1
% 80.57/12.21 % Propositional check models : 1
% 80.57/12.21 % Propositional check unsatisfiable : 0
% 80.57/12.21 % Propositional clauses : 0
% 80.57/12.21 % Propositional clauses after purity: 0
% 80.57/12.21 % Propositional unsat core size : 0
% 80.57/12.21 % Propositional preprocessing time : 0.000
% 80.57/12.21 % Propositional encoding time : 0.100
% 80.57/12.21 % Propositional solver time : 0.018
% 80.57/12.21 % Success case prop preproc time : 0.000
% 80.57/12.21 % Success case prop encoding time : 0.000
% 80.57/12.21 % Success case prop solver time : 0.000
% 80.57/12.21 % Current number of processed clauses : 7732
% 80.57/12.21 % Positive orientable unit clauses : 70
% 80.57/12.21 % Positive unorientable unit clauses: 0
% 80.57/12.21 % Negative unit clauses : 8
% 80.57/12.21 % Non-unit-clauses : 7654
% 80.57/12.21 % Current number of unprocessed clauses: 205630
% 80.57/12.21 % ...number of literals in the above : 1309152
% 80.57/12.21 % Current number of archived formulas : 0
% 80.57/12.21 % Current number of archived clauses : 456
% 80.57/12.21 % Clause-clause subsumption calls (NU) : 19416724
% 80.57/12.21 % Rec. Clause-clause subsumption calls : 3507044
% 80.57/12.21 % Non-unit clause-clause subsumptions : 36765
% 80.57/12.21 % Unit Clause-clause subsumption calls : 31263
% 80.57/12.21 % Rewrite failures with RHS unbound : 0
% 80.57/12.21 % BW rewrite match attempts : 9
% 80.57/12.21 % BW rewrite match successes : 1
% 80.57/12.21 % Condensation attempts : 0
% 80.57/12.21 % Condensation successes : 0
% 80.57/12.21 % Termbank termtop insertions : 5641544
% 80.57/12.21 % Search garbage collected termcells : 3876
% 80.57/12.21
% 80.57/12.21 % -------------------------------------------------
% 80.57/12.21 % User time : 11.221 s
% 80.57/12.21 % System time : 0.195 s
% 80.57/12.21 % Total time : 11.416 s
% 80.57/12.21 % Maximum resident set size: 4576 pages
% 80.57/12.21
% 80.57/12.21 % -------------------------------------------------
% 80.57/12.21 % User time : 55.229 s
% 80.57/12.21 % System time : 1.928 s
% 80.57/12.21 % Total time : 57.157 s
% 80.57/12.21 % Maximum resident set size: 4864 pages
% 80.57/12.21 % E exiting
%------------------------------------------------------------------------------