%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT376+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 : n031.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 04:38:23 PM UTC 2026
% Result : Theorem 1.92s 1.91s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 4 unt; 0 def)
% Number of atoms : 459 ( 7 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 506 ( 118 ~; 157 |; 193 &)
% ( 0 <=>; 38 =>; 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 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t52_yellow20,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v11_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( ( v16_functor0(X3,X1,X2)
& m2_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ! [X5] :
( ( ~ v3_struct_0(X5)
& v2_altcat_1(X5)
& v3_altcat_2(X5,X2)
& m1_altcat_2(X5,X2) )
=> ( r3_yellow20(X1,X2,X3,X4,X5)
=> r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_yellow20) ).
fof(t18_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
& k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel34) ).
fof(fc5_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v3_yellow21(k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(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(dt_k6_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).
fof(fc7_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).
fof(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(dt_k9_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(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(dt_k8_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_waybel34) ).
fof(dt_k4_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& l2_altcat_1(k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(dt_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_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v11_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( ( v16_functor0(X3,X1,X2)
& m2_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ! [X5] :
( ( ~ v3_struct_0(X5)
& v2_altcat_1(X5)
& v3_altcat_2(X5,X2)
& m1_altcat_2(X5,X2) )
=> ( r3_yellow20(X1,X2,X3,X4,X5)
=> r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t52_yellow20]) ).
fof(c_0_14,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_15,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v3_yellow21(k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_waybel34]) ).
fof(c_0_16,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_17,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_18,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_19,plain,
! [X494,X495,X496,X497,X498] :
( v3_struct_0(X494)
| ~ v2_altcat_1(X494)
| ~ v11_altcat_1(X494)
| ~ v12_altcat_1(X494)
| ~ l2_altcat_1(X494)
| v3_struct_0(X495)
| ~ v2_altcat_1(X495)
| ~ v11_altcat_1(X495)
| ~ v12_altcat_1(X495)
| ~ l2_altcat_1(X495)
| ~ v16_functor0(X496,X494,X495)
| ~ m2_functor0(X496,X494,X495)
| ~ v21_functor0(X496,X494,X495)
| v3_struct_0(X497)
| ~ v2_altcat_1(X497)
| ~ v3_altcat_2(X497,X494)
| ~ m1_altcat_2(X497,X494)
| v3_struct_0(X498)
| ~ v2_altcat_1(X498)
| ~ v3_altcat_2(X498,X495)
| ~ m1_altcat_2(X498,X495)
| ~ r3_yellow20(X494,X495,X496,X497,X498)
| r3_yellow20(X495,X494,k15_functor0(X494,X495,X496),X498,X497) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_20,plain,
! [X484] :
( ( k15_functor0(k4_waybel34(X484),k5_waybel34(X484),k6_waybel34(X484)) = k7_waybel34(X484)
| v2_setfam_1(X484) )
& ( k15_functor0(k5_waybel34(X484),k4_waybel34(X484),k7_waybel34(X484)) = k6_waybel34(X484)
| v2_setfam_1(X484) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_21,plain,
! [X430] :
( ( ~ v3_struct_0(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v2_altcat_1(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v6_altcat_1(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v9_altcat_1(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v11_altcat_1(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v12_altcat_1(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v1_altcat_2(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v2_yellow18(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v3_yellow18(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v4_yellow18(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v1_yellow21(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v2_yellow21(k4_waybel34(X430))
| v2_setfam_1(X430) )
& ( v3_yellow21(k4_waybel34(X430))
| v2_setfam_1(X430) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_22,plain,
! [X431] :
( ( ~ v3_struct_0(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v2_altcat_1(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v6_altcat_1(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v9_altcat_1(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v11_altcat_1(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v12_altcat_1(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v1_altcat_2(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v2_yellow18(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v3_yellow18(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v4_yellow18(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v1_yellow21(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v2_yellow21(k5_waybel34(X431))
| v2_setfam_1(X431) )
& ( v3_yellow21(k5_waybel34(X431))
| v2_setfam_1(X431) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_23,plain,
! [X353] :
( ( v9_functor0(k6_waybel34(X353),k4_waybel34(X353),k5_waybel34(X353))
| v2_setfam_1(X353) )
& ( v16_functor0(k6_waybel34(X353),k4_waybel34(X353),k5_waybel34(X353))
| v2_setfam_1(X353) )
& ( m2_functor0(k6_waybel34(X353),k4_waybel34(X353),k5_waybel34(X353))
| v2_setfam_1(X353) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_24,plain,
! [X435] :
( ( v6_functor0(k6_waybel34(X435),k4_waybel34(X435),k5_waybel34(X435))
| v2_setfam_1(X435) )
& ( v8_functor0(k6_waybel34(X435),k4_waybel34(X435),k5_waybel34(X435))
| v2_setfam_1(X435) )
& ( v9_functor0(k6_waybel34(X435),k4_waybel34(X435),k5_waybel34(X435))
| v2_setfam_1(X435) )
& ( v11_functor0(k6_waybel34(X435),k4_waybel34(X435),k5_waybel34(X435))
| v2_setfam_1(X435) )
& ( v12_functor0(k6_waybel34(X435),k4_waybel34(X435),k5_waybel34(X435))
| v2_setfam_1(X435) )
& ( v14_functor0(k6_waybel34(X435),k4_waybel34(X435),k5_waybel34(X435))
| v2_setfam_1(X435) )
& ( v16_functor0(k6_waybel34(X435),k4_waybel34(X435),k5_waybel34(X435))
| v2_setfam_1(X435) )
& ( v21_functor0(k6_waybel34(X435),k4_waybel34(X435),k5_waybel34(X435))
| v2_setfam_1(X435) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_25,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_26,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_waybel34]) ).
fof(c_0_27,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)],[inference(assume_negation,[status(cth)],[t57_waybel34])]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4)
| v3_struct_0(X5)
| r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v2_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2)
| ~ v16_functor0(X3,X1,X2)
| ~ m2_functor0(X3,X1,X2)
| ~ v21_functor0(X3,X1,X2)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1)
| ~ v2_altcat_1(X5)
| ~ v3_altcat_2(X5,X2)
| ~ m1_altcat_2(X5,X2)
| ~ r3_yellow20(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,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_20]) ).
cnf(c_0_30,plain,
( v2_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( v2_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( v11_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
( v11_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( v12_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,plain,
( v12_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,plain,
( m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
( v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_38,plain,
( v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_39,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_40,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_41,plain,
! [X499] :
( v2_setfam_1(X499)
| r3_yellow20(k4_waybel34(X499),k5_waybel34(X499),k6_waybel34(X499),k8_waybel34(X499),k9_waybel34(X499)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
fof(c_0_42,plain,
! [X356] :
( ( ~ v3_struct_0(k9_waybel34(X356))
| v2_setfam_1(X356) )
& ( v2_altcat_1(k9_waybel34(X356))
| v2_setfam_1(X356) )
& ( v6_altcat_1(k9_waybel34(X356))
| v2_setfam_1(X356) )
& ( v3_altcat_2(k9_waybel34(X356),k5_waybel34(X356))
| v2_setfam_1(X356) )
& ( m1_altcat_2(k9_waybel34(X356),k5_waybel34(X356))
| v2_setfam_1(X356) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_43,negated_conjecture,
( ~ v2_setfam_1(esk1_0)
& ~ r3_yellow20(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k7_waybel34(esk1_0),k9_waybel34(esk1_0),k8_waybel34(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r3_yellow20(k5_waybel34(X3),k4_waybel34(X3),k7_waybel34(X3),X1,X2)
| v2_setfam_1(X3)
| ~ v3_altcat_2(X1,k5_waybel34(X3))
| ~ v3_altcat_2(X2,k4_waybel34(X3))
| ~ m1_altcat_2(X1,k5_waybel34(X3))
| ~ m1_altcat_2(X2,k4_waybel34(X3))
| ~ v2_altcat_1(X1)
| ~ v2_altcat_1(X2)
| ~ l2_altcat_1(k5_waybel34(X3))
| ~ l2_altcat_1(k4_waybel34(X3))
| ~ r3_yellow20(k4_waybel34(X3),k5_waybel34(X3),k6_waybel34(X3),X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),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]) ).
cnf(c_0_45,plain,
( v2_setfam_1(X1)
| r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,plain,
( v2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,plain,
( m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
( v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_50,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_waybel34]) ).
fof(c_0_51,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_52,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_53,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
cnf(c_0_54,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_43]) ).
cnf(c_0_55,plain,
( v3_struct_0(k8_waybel34(X1))
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1))
| v2_setfam_1(X1)
| ~ v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ v2_altcat_1(k8_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(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_56,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_57,plain,
! [X355] :
( ( ~ v3_struct_0(k8_waybel34(X355))
| v1_xboole_0(X355) )
& ( v2_altcat_1(k8_waybel34(X355))
| v1_xboole_0(X355) )
& ( v6_altcat_1(k8_waybel34(X355))
| v1_xboole_0(X355) )
& ( v3_altcat_2(k8_waybel34(X355),k4_waybel34(X355))
| v1_xboole_0(X355) )
& ( m1_altcat_2(k8_waybel34(X355),k4_waybel34(X355))
| v1_xboole_0(X355) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])]) ).
fof(c_0_58,plain,
! [X351] :
( ( ~ v3_struct_0(k4_waybel34(X351))
| v1_xboole_0(X351) )
& ( v2_altcat_1(k4_waybel34(X351))
| v1_xboole_0(X351) )
& ( v6_altcat_1(k4_waybel34(X351))
| v1_xboole_0(X351) )
& ( v11_altcat_1(k4_waybel34(X351))
| v1_xboole_0(X351) )
& ( v12_altcat_1(k4_waybel34(X351))
| v1_xboole_0(X351) )
& ( v2_yellow21(k4_waybel34(X351))
| v1_xboole_0(X351) )
& ( l2_altcat_1(k4_waybel34(X351))
| v1_xboole_0(X351) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
fof(c_0_59,plain,
! [X352] :
( ( ~ v3_struct_0(k5_waybel34(X352))
| v1_xboole_0(X352) )
& ( v2_altcat_1(k5_waybel34(X352))
| v1_xboole_0(X352) )
& ( v6_altcat_1(k5_waybel34(X352))
| v1_xboole_0(X352) )
& ( v11_altcat_1(k5_waybel34(X352))
| v1_xboole_0(X352) )
& ( v12_altcat_1(k5_waybel34(X352))
| v1_xboole_0(X352) )
& ( v2_yellow21(k5_waybel34(X352))
| v1_xboole_0(X352) )
& ( l2_altcat_1(k5_waybel34(X352))
| v1_xboole_0(X352) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
fof(c_0_60,plain,
! [X310] :
( v2_setfam_1(X310)
| ~ v1_xboole_0(X310) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])]) ).
cnf(c_0_61,negated_conjecture,
( v3_struct_0(k8_waybel34(esk1_0))
| ~ v3_altcat_2(k8_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ m1_altcat_2(k8_waybel34(esk1_0),k4_waybel34(esk1_0))
| ~ v2_altcat_1(k8_waybel34(esk1_0))
| ~ l2_altcat_1(k5_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_62,plain,
( v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,plain,
( l2_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
( v2_altcat_1(k8_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,plain,
( m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_67,plain,
( v1_xboole_0(X1)
| ~ v3_struct_0(k8_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_68,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_69,negated_conjecture,
v1_xboole_0(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_67]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT376+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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 : n031.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 21:47:38 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.92/1.91 % Version : CSE_E---1.7
% 1.92/1.91 % Problem : theBenchmark.p
% 1.92/1.91 % SZS status Theorem for theBenchmark.p
% 1.92/1.91 % SZS output start CNFRefutation
% See solution above
% 1.92/1.91 % Total time : 1.422s
%------------------------------------------------------------------------------