%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT362+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.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 04:38:20 PM UTC 2026
% Result : Theorem 1.47s 1.78s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 5 unt; 0 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 42 ( 7 avg)
% Number of connectives : 382 ( 88 ~; 117 |; 155 &)
% ( 2 <=>; 20 =>; 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 : 48 ( 0 sgn 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d41_functor0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ( r2_functor0(X1,X2)
<=> ? [X3] :
( m2_functor0(X3,X1,X2)
& v21_functor0(X3,X1,X2)
& v16_functor0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d41_functor0) ).
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/sandbox/benchmark/theBenchmark.p',fc7_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).
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(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
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/sandbox/benchmark/theBenchmark.p',dt_k5_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/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ( r2_functor0(X1,X2)
<=> ? [X3] :
( m2_functor0(X3,X1,X2)
& v21_functor0(X3,X1,X2)
& v16_functor0(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[d41_functor0]) ).
fof(c_0_10,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_11,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_12,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_13,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_14,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r2_functor0(k4_waybel34(X1),k5_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t20_waybel34])]) ).
fof(c_0_15,plain,
! [X299,X300,X302] :
( ( m2_functor0(esk2_2(X299,X300),X299,X300)
| ~ r2_functor0(X299,X300)
| v3_struct_0(X300)
| ~ v2_altcat_1(X300)
| ~ v12_altcat_1(X300)
| ~ l2_altcat_1(X300)
| v3_struct_0(X299)
| ~ v2_altcat_1(X299)
| ~ v12_altcat_1(X299)
| ~ l2_altcat_1(X299) )
& ( v21_functor0(esk2_2(X299,X300),X299,X300)
| ~ r2_functor0(X299,X300)
| v3_struct_0(X300)
| ~ v2_altcat_1(X300)
| ~ v12_altcat_1(X300)
| ~ l2_altcat_1(X300)
| v3_struct_0(X299)
| ~ v2_altcat_1(X299)
| ~ v12_altcat_1(X299)
| ~ l2_altcat_1(X299) )
& ( v16_functor0(esk2_2(X299,X300),X299,X300)
| ~ r2_functor0(X299,X300)
| v3_struct_0(X300)
| ~ v2_altcat_1(X300)
| ~ v12_altcat_1(X300)
| ~ l2_altcat_1(X300)
| v3_struct_0(X299)
| ~ v2_altcat_1(X299)
| ~ v12_altcat_1(X299)
| ~ l2_altcat_1(X299) )
& ( ~ m2_functor0(X302,X299,X300)
| ~ v21_functor0(X302,X299,X300)
| ~ v16_functor0(X302,X299,X300)
| r2_functor0(X299,X300)
| v3_struct_0(X300)
| ~ v2_altcat_1(X300)
| ~ v12_altcat_1(X300)
| ~ l2_altcat_1(X300)
| v3_struct_0(X299)
| ~ v2_altcat_1(X299)
| ~ v12_altcat_1(X299)
| ~ l2_altcat_1(X299) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_16,plain,
! [X392] :
( ( v6_functor0(k6_waybel34(X392),k4_waybel34(X392),k5_waybel34(X392))
| v2_setfam_1(X392) )
& ( v8_functor0(k6_waybel34(X392),k4_waybel34(X392),k5_waybel34(X392))
| v2_setfam_1(X392) )
& ( v9_functor0(k6_waybel34(X392),k4_waybel34(X392),k5_waybel34(X392))
| v2_setfam_1(X392) )
& ( v11_functor0(k6_waybel34(X392),k4_waybel34(X392),k5_waybel34(X392))
| v2_setfam_1(X392) )
& ( v12_functor0(k6_waybel34(X392),k4_waybel34(X392),k5_waybel34(X392))
| v2_setfam_1(X392) )
& ( v14_functor0(k6_waybel34(X392),k4_waybel34(X392),k5_waybel34(X392))
| v2_setfam_1(X392) )
& ( v16_functor0(k6_waybel34(X392),k4_waybel34(X392),k5_waybel34(X392))
| v2_setfam_1(X392) )
& ( v21_functor0(k6_waybel34(X392),k4_waybel34(X392),k5_waybel34(X392))
| v2_setfam_1(X392) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_17,plain,
! [X387] :
( ( ~ v3_struct_0(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v2_altcat_1(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v6_altcat_1(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v9_altcat_1(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v11_altcat_1(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v12_altcat_1(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v1_altcat_2(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v2_yellow18(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v3_yellow18(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v4_yellow18(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v1_yellow21(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v2_yellow21(k4_waybel34(X387))
| v2_setfam_1(X387) )
& ( v3_yellow21(k4_waybel34(X387))
| v2_setfam_1(X387) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_18,plain,
! [X388] :
( ( ~ v3_struct_0(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v2_altcat_1(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v6_altcat_1(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v9_altcat_1(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v11_altcat_1(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v12_altcat_1(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v1_altcat_2(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v2_yellow18(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v3_yellow18(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v4_yellow18(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v1_yellow21(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v2_yellow21(k5_waybel34(X388))
| v2_setfam_1(X388) )
& ( v3_yellow21(k5_waybel34(X388))
| v2_setfam_1(X388) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_19,plain,
! [X317] :
( ( v9_functor0(k6_waybel34(X317),k4_waybel34(X317),k5_waybel34(X317))
| v2_setfam_1(X317) )
& ( v16_functor0(k6_waybel34(X317),k4_waybel34(X317),k5_waybel34(X317))
| v2_setfam_1(X317) )
& ( m2_functor0(k6_waybel34(X317),k4_waybel34(X317),k5_waybel34(X317))
| v2_setfam_1(X317) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_20,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
fof(c_0_21,negated_conjecture,
( ~ v2_setfam_1(esk1_0)
& ~ r2_functor0(k4_waybel34(esk1_0),k5_waybel34(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_22,plain,
( r2_functor0(X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m2_functor0(X1,X2,X3)
| ~ v21_functor0(X1,X2,X3)
| ~ v16_functor0(X1,X2,X3)
| ~ v2_altcat_1(X3)
| ~ v12_altcat_1(X3)
| ~ l2_altcat_1(X3)
| ~ v2_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( v2_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( v2_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( v12_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
( v12_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_32,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_33,plain,
! [X283] :
( v2_setfam_1(X283)
| ~ v1_xboole_0(X283) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
cnf(c_0_34,negated_conjecture,
~ r2_functor0(k4_waybel34(esk1_0),k5_waybel34(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,plain,
( r2_functor0(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(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_36,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_37,plain,
! [X316] :
( ( ~ v3_struct_0(k5_waybel34(X316))
| v1_xboole_0(X316) )
& ( v2_altcat_1(k5_waybel34(X316))
| v1_xboole_0(X316) )
& ( v6_altcat_1(k5_waybel34(X316))
| v1_xboole_0(X316) )
& ( v11_altcat_1(k5_waybel34(X316))
| v1_xboole_0(X316) )
& ( v12_altcat_1(k5_waybel34(X316))
| v1_xboole_0(X316) )
& ( v2_yellow21(k5_waybel34(X316))
| v1_xboole_0(X316) )
& ( l2_altcat_1(k5_waybel34(X316))
| v1_xboole_0(X316) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_38,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_39,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]) ).
cnf(c_0_40,negated_conjecture,
( ~ l2_altcat_1(k5_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_41,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(spm,[status(thm)],[c_0_36,c_0_38]) ).
fof(c_0_43,plain,
! [X315] :
( ( ~ v3_struct_0(k4_waybel34(X315))
| v1_xboole_0(X315) )
& ( v2_altcat_1(k4_waybel34(X315))
| v1_xboole_0(X315) )
& ( v6_altcat_1(k4_waybel34(X315))
| v1_xboole_0(X315) )
& ( v11_altcat_1(k4_waybel34(X315))
| v1_xboole_0(X315) )
& ( v12_altcat_1(k4_waybel34(X315))
| v1_xboole_0(X315) )
& ( v2_yellow21(k4_waybel34(X315))
| v1_xboole_0(X315) )
& ( l2_altcat_1(k4_waybel34(X315))
| v1_xboole_0(X315) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
cnf(c_0_44,negated_conjecture,
~ l2_altcat_1(k4_waybel34(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_45,plain,
( l2_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[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_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT362+1 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n003.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 21:37:56 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.47/1.78 % Version : CSE_E---1.7
% 1.47/1.78 % Problem : theBenchmark.p
% 1.47/1.78 % SZS status Theorem for theBenchmark.p
% 1.47/1.78 % SZS output start CNFRefutation
% See solution above
% 1.47/1.78 % Total time : 1.374s
%------------------------------------------------------------------------------