%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT362+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 : n011.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 01:05:07 PM UTC 2026
% Result : Theorem 0.24s 0.59s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 4 unt; 0 def)
% Number of atoms : 342 ( 0 equ)
% Maximal formula atoms : 42 ( 7 avg)
% Number of connectives : 383 ( 88 ~; 117 |; 155 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t20_waybel34,conjecture,
! [X1] :
( ~ v2_setfam_1(X1)
=> r2_functor0(k4_waybel34(X1),k5_waybel34(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_waybel34) ).
fof(d41_functor0,axiom,
! [X1] :
( ( l2_altcat_1(X1)
& v12_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l2_altcat_1(X2)
& v12_altcat_1(X2)
& v2_altcat_1(X2)
& ~ v3_struct_0(X2) )
=> ( r2_functor0(X1,X2)
<=> ? [X3] :
( v16_functor0(X3,X1,X2)
& v21_functor0(X3,X1,X2)
& m2_functor0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d41_functor0) ).
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(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(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_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(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(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(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r2_functor0(k4_waybel34(X1),k5_waybel34(X1)) ),
inference(assume_negation,[status(cth)],[t20_waybel34]) ).
fof(c_0_10,plain,
! [X1] :
( ( l2_altcat_1(X1)
& v12_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l2_altcat_1(X2)
& v12_altcat_1(X2)
& v2_altcat_1(X2)
& ~ v3_struct_0(X2) )
=> ( r2_functor0(X1,X2)
<=> ? [X3] :
( v16_functor0(X3,X1,X2)
& v21_functor0(X3,X1,X2)
& m2_functor0(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[d41_functor0]) ).
fof(c_0_11,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_12,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_13,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_14,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_15,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r2_functor0(k4_waybel34(X1),k5_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_16,plain,
! [X10,X11,X13] :
( ( ~ l2_altcat_1(X10)
| ~ v12_altcat_1(X10)
| ~ v2_altcat_1(X10)
| v3_struct_0(X10)
| ~ l2_altcat_1(X11)
| ~ v12_altcat_1(X11)
| ~ v2_altcat_1(X11)
| v3_struct_0(X11)
| r2_functor0(X10,X11)
| ~ v16_functor0(X13,X10,X11)
| ~ v21_functor0(X13,X10,X11)
| ~ m2_functor0(X13,X10,X11) )
& ( ~ l2_altcat_1(X10)
| ~ v12_altcat_1(X10)
| ~ v2_altcat_1(X10)
| v3_struct_0(X10)
| ~ l2_altcat_1(X11)
| ~ v12_altcat_1(X11)
| ~ v2_altcat_1(X11)
| v3_struct_0(X11)
| ~ r2_functor0(X10,X11)
| v16_functor0(esk2_2(X10,X11),X10,X11) )
& ( ~ l2_altcat_1(X10)
| ~ v12_altcat_1(X10)
| ~ v2_altcat_1(X10)
| v3_struct_0(X10)
| ~ l2_altcat_1(X11)
| ~ v12_altcat_1(X11)
| ~ v2_altcat_1(X11)
| v3_struct_0(X11)
| ~ r2_functor0(X10,X11)
| v21_functor0(esk2_2(X10,X11),X10,X11) )
& ( ~ l2_altcat_1(X10)
| ~ v12_altcat_1(X10)
| ~ v2_altcat_1(X10)
| v3_struct_0(X10)
| ~ l2_altcat_1(X11)
| ~ v12_altcat_1(X11)
| ~ v2_altcat_1(X11)
| v3_struct_0(X11)
| ~ r2_functor0(X10,X11)
| m2_functor0(esk2_2(X10,X11),X10,X11) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
fof(c_0_17,plain,
! [X27] :
( ( v2_setfam_1(X27)
| v21_functor0(k6_waybel34(X27),k4_waybel34(X27),k5_waybel34(X27)) )
& ( v2_setfam_1(X27)
| v16_functor0(k6_waybel34(X27),k4_waybel34(X27),k5_waybel34(X27)) )
& ( v2_setfam_1(X27)
| v14_functor0(k6_waybel34(X27),k4_waybel34(X27),k5_waybel34(X27)) )
& ( v2_setfam_1(X27)
| v12_functor0(k6_waybel34(X27),k4_waybel34(X27),k5_waybel34(X27)) )
& ( v2_setfam_1(X27)
| v11_functor0(k6_waybel34(X27),k4_waybel34(X27),k5_waybel34(X27)) )
& ( v2_setfam_1(X27)
| v9_functor0(k6_waybel34(X27),k4_waybel34(X27),k5_waybel34(X27)) )
& ( v2_setfam_1(X27)
| v8_functor0(k6_waybel34(X27),k4_waybel34(X27),k5_waybel34(X27)) )
& ( v2_setfam_1(X27)
| v6_functor0(k6_waybel34(X27),k4_waybel34(X27),k5_waybel34(X27)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_18,plain,
! [X19] :
( ( v2_setfam_1(X19)
| v3_yellow21(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v2_yellow21(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v1_yellow21(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v4_yellow18(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v3_yellow18(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v2_yellow18(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v1_altcat_2(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v12_altcat_1(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v11_altcat_1(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v9_altcat_1(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v6_altcat_1(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| v2_altcat_1(k4_waybel34(X19)) )
& ( v2_setfam_1(X19)
| ~ v3_struct_0(k4_waybel34(X19)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_19,plain,
! [X17] :
( ( v2_setfam_1(X17)
| v3_yellow21(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v2_yellow21(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v1_yellow21(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v4_yellow18(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v3_yellow18(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v2_yellow18(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v1_altcat_2(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v12_altcat_1(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v11_altcat_1(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v9_altcat_1(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v6_altcat_1(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| v2_altcat_1(k5_waybel34(X17)) )
& ( v2_setfam_1(X17)
| ~ v3_struct_0(k5_waybel34(X17)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_20,plain,
! [X51] :
( ( v2_setfam_1(X51)
| m2_functor0(k6_waybel34(X51),k4_waybel34(X51),k5_waybel34(X51)) )
& ( v2_setfam_1(X51)
| v16_functor0(k6_waybel34(X51),k4_waybel34(X51),k5_waybel34(X51)) )
& ( v2_setfam_1(X51)
| v9_functor0(k6_waybel34(X51),k4_waybel34(X51),k5_waybel34(X51)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_21,negated_conjecture,
( ~ r2_functor0(k4_waybel34(esk1_0),k5_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_15])])])]) ).
cnf(c_0_22,plain,
( ~ l2_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ v2_altcat_1(X2)
| ~ l2_altcat_1(X3)
| ~ v12_altcat_1(X3)
| ~ v2_altcat_1(X3)
| ~ v16_functor0(X1,X2,X3)
| ~ v21_functor0(X1,X2,X3)
| ~ m2_functor0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| r2_functor0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( v2_setfam_1(X1)
| v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( v2_setfam_1(X1)
| v12_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( v2_setfam_1(X1)
| v12_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
( v2_setfam_1(X1)
| m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( v2_setfam_1(X1)
| v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,plain,
( ~ v3_struct_0(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,plain,
( ~ v3_struct_0(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_32,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_33,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_34,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
cnf(c_0_35,negated_conjecture,
~ r2_functor0(k4_waybel34(esk1_0),k5_waybel34(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_36,plain,
( ~ l2_altcat_1(k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1)
| r2_functor0(k4_waybel34(X1),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(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_37,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_38,plain,
! [X16] :
( ( v1_xboole_0(X16)
| l2_altcat_1(k5_waybel34(X16)) )
& ( v1_xboole_0(X16)
| v2_yellow21(k5_waybel34(X16)) )
& ( v1_xboole_0(X16)
| v12_altcat_1(k5_waybel34(X16)) )
& ( v1_xboole_0(X16)
| v11_altcat_1(k5_waybel34(X16)) )
& ( v1_xboole_0(X16)
| v6_altcat_1(k5_waybel34(X16)) )
& ( v1_xboole_0(X16)
| v2_altcat_1(k5_waybel34(X16)) )
& ( v1_xboole_0(X16)
| ~ v3_struct_0(k5_waybel34(X16)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
fof(c_0_39,plain,
! [X18] :
( ( v1_xboole_0(X18)
| l2_altcat_1(k4_waybel34(X18)) )
& ( v1_xboole_0(X18)
| v2_yellow21(k4_waybel34(X18)) )
& ( v1_xboole_0(X18)
| v12_altcat_1(k4_waybel34(X18)) )
& ( v1_xboole_0(X18)
| v11_altcat_1(k4_waybel34(X18)) )
& ( v1_xboole_0(X18)
| v6_altcat_1(k4_waybel34(X18)) )
& ( v1_xboole_0(X18)
| v2_altcat_1(k4_waybel34(X18)) )
& ( v1_xboole_0(X18)
| ~ v3_struct_0(k4_waybel34(X18)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_40,plain,
! [X20] :
( ~ v1_xboole_0(X20)
| v2_setfam_1(X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
cnf(c_0_41,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_35,c_0_36]),c_0_37]) ).
cnf(c_0_42,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,plain,
( ~ v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
v1_xboole_0(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT362+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n011.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 23:50:10 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 0.24/0.58 % Version: 3.5.1
% 0.24/0.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.58 % Starting sh5l with 300s (1) cores
% 0.24/0.58 % new_bool_1 with pid 490643 completed with status 0
% 0.24/0.58 % Result found by new_bool_1
% 0.24/0.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.58 % Search class: FGUSF-FSMM21-SFFFFFNN
% 0.24/0.58 % partial match(1): FGUSF-FFMM21-SFFFFFNN
% 0.24/0.58 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.58 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.59 % SubtermCWHack with pid 490645 completed with status 0
% 0.24/0.59 % Result found by SubtermCWHack
% 0.24/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.59 % Search class: FGUSF-FSMM21-SFFFFFNN
% 0.24/0.59 % partial match(1): FGUSF-FFMM21-SFFFFFNN
% 0.24/0.59 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.59 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.59 % Preprocessing time : 0.004 s
% 0.24/0.59
% 0.24/0.59 % Proof found!
% 0.24/0.59 % SZS status Theorem
% 0.24/0.59 % SZS output start CNFRefutation
% See solution above
% 0.24/0.59 % Parsed axioms : 113
% 0.24/0.59 % Removed by relevancy pruning/SinE : 79
% 0.24/0.59 % Initial clauses : 130
% 0.24/0.59 % Removed in clause preprocessing : 9
% 0.24/0.59 % Initial clauses in saturation : 121
% 0.24/0.59 % Processed clauses : 135
% 0.24/0.59 % ...of these trivial : 0
% 0.24/0.59 % ...subsumed : 16
% 0.24/0.59 % ...remaining for further processing : 119
% 0.24/0.59 % Other redundant clauses eliminated : 0
% 0.24/0.59 % Clauses deleted for lack of memory : 0
% 0.24/0.59 % Backward-subsumed : 0
% 0.24/0.59 % Backward-rewritten : 0
% 0.24/0.59 % Generated clauses : 20
% 0.24/0.59 % ...of the previous two non-redundant : 15
% 0.24/0.59 % ...aggressively subsumed : 0
% 0.24/0.59 % Contextual simplify-reflections : 9
% 0.24/0.59 % Paramodulations : 20
% 0.24/0.59 % Factorizations : 0
% 0.24/0.59 % NegExts : 0
% 0.24/0.59 % Equation resolutions : 0
% 0.24/0.59 % Disequality decompositions : 0
% 0.24/0.59 % Total rewrite steps : 5
% 0.24/0.59 % ...of those cached : 0
% 0.24/0.59 % Propositional unsat checks : 0
% 0.24/0.59 % Propositional check models : 0
% 0.24/0.59 % Propositional check unsatisfiable : 0
% 0.24/0.59 % Propositional clauses : 0
% 0.24/0.59 % Propositional clauses after purity: 0
% 0.24/0.59 % Propositional unsat core size : 0
% 0.24/0.59 % Propositional preprocessing time : 0.000
% 0.24/0.59 % Propositional encoding time : 0.000
% 0.24/0.59 % Propositional solver time : 0.000
% 0.24/0.59 % Success case prop preproc time : 0.000
% 0.24/0.59 % Success case prop encoding time : 0.000
% 0.24/0.59 % Success case prop solver time : 0.000
% 0.24/0.59 % Current number of processed clauses : 119
% 0.24/0.59 % Positive orientable unit clauses : 19
% 0.24/0.59 % Positive unorientable unit clauses: 0
% 0.24/0.59 % Negative unit clauses : 5
% 0.24/0.59 % Non-unit-clauses : 95
% 0.24/0.59 % Current number of unprocessed clauses: 1
% 0.24/0.59 % ...number of literals in the above : 10
% 0.24/0.59 % Current number of archived formulas : 0
% 0.24/0.59 % Current number of archived clauses : 0
% 0.24/0.59 % Clause-clause subsumption calls (NU) : 1932
% 0.24/0.59 % Rec. Clause-clause subsumption calls : 550
% 0.24/0.59 % Non-unit clause-clause subsumptions : 25
% 0.24/0.59 % Unit Clause-clause subsumption calls : 12
% 0.24/0.59 % Rewrite failures with RHS unbound : 0
% 0.24/0.59 % BW rewrite match attempts : 0
% 0.24/0.59 % BW rewrite match successes : 0
% 0.24/0.59 % Condensation attempts : 0
% 0.24/0.59 % Condensation successes : 0
% 0.24/0.59 % Termbank termtop insertions : 10924
% 0.24/0.59 % Search garbage collected termcells : 1893
% 0.24/0.59
% 0.24/0.59 % -------------------------------------------------
% 0.24/0.59 % User time : 0.018 s
% 0.24/0.59 % System time : 0.005 s
% 0.24/0.59 % Total time : 0.023 s
% 0.24/0.59 % Maximum resident set size: 3984 pages
% 0.24/0.59
% 0.24/0.59 % -------------------------------------------------
% 0.24/0.59 % User time : 0.024 s
% 0.24/0.59 % System time : 0.014 s
% 0.24/0.59 % Total time : 0.037 s
% 0.24/0.59 % Maximum resident set size: 4864 pages
% 0.24/0.59 % E exiting
%------------------------------------------------------------------------------