%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP644+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 : 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 04:26:41 PM UTC 2026
% Result : Theorem 0.34s 1.60s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 109)
% Comments :
%------------------------------------------------------------------------------
fof(cc6_funct_2,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) )
=> ( v1_funct_1(X3)
& ~ v1_xboole_0(X3)
& v1_partfun1(X3,X1,X2)
& v1_funct_2(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(cc5_funct_2,axiom,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2)
& v1_funct_2(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_funct_2) ).
fof(t18_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(t60_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_rlvect_1(X3,X2)
=> r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_group_2) ).
fof(dt_k1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(dt_k3_group_1,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(t22_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsubgr) ).
fof(fc4_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(dt_m1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(fc1_group_3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ~ v1_xboole_0(k1_group_3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_3) ).
fof(existence_m1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ? [X2] : m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_group_2) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc3_struct_0,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(free_g1_group_1,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ! [X3,X4] :
( g1_group_1(X1,X2) = g1_group_1(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_group_1) ).
fof(dt_g1_group_1,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ( v1_group_1(g1_group_1(X1,X2))
& l1_group_1(g1_group_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_group_1) ).
fof(cc1_funct_2,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> ( v1_funct_1(u1_group_1(X1))
& v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_group_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(existence_m2_relset_1,axiom,
! [X1,X2] :
? [X3] : m2_relset_1(X3,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(rc1_funct_2,axiom,
! [X1,X2] :
? [X3] :
( m1_relset_1(X3,X1,X2)
& v1_relat_1(X3)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_2) ).
fof(rc2_partfun1,axiom,
! [X1,X2] :
? [X3] :
( m1_relset_1(X3,X1,X2)
& v1_relat_1(X3)
& v1_funct_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(existence_m1_relset_1,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(abstractness_v1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> ( v1_group_1(X1)
=> X1 = g1_group_1(u1_struct_0(X1),u1_group_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(existence_l1_struct_0,axiom,
? [X1] : l1_struct_0(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(existence_l1_group_1,axiom,
? [X1] : l1_group_1(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_46,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) )
=> ( v1_funct_1(X3)
& ~ v1_xboole_0(X3)
& v1_partfun1(X3,X1,X2)
& v1_funct_2(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_funct_2]) ).
fof(i_0_47,plain,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2)
& v1_funct_2(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_funct_2]) ).
fof(i_0_48,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t18_latsubgr]) ).
fof(i_0_49,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_rlvect_1(X3,X2)
=> r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t60_group_2]) ).
fof(i_0_50,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_latsubgr]) ).
fof(i_0_51,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k3_group_1]) ).
fof(i_0_52,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t22_latsubgr])]) ).
fof(i_0_53,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc4_subset_1]) ).
fof(i_0_54,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(i_0_55,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_group_2]) ).
fof(i_0_56,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_57,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ~ v1_xboole_0(k1_group_3(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_group_3]) ).
fof(i_0_58,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ? [X2] : m1_group_2(X2,X1) ),
inference(fof_simplification,[status(thm)],[existence_m1_group_2]) ).
fof(i_0_59,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_60,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(i_0_61,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_62,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_63,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[rc3_struct_0]) ).
fof(i_0_64,plain,
! [X146,X147,X148,X149] :
( ( X146 = X148
| g1_group_1(X146,X147) != g1_group_1(X148,X149)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,k2_zfmisc_1(X146,X146),X146)
| ~ m1_relset_1(X147,k2_zfmisc_1(X146,X146),X146) )
& ( X147 = X149
| g1_group_1(X146,X147) != g1_group_1(X148,X149)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,k2_zfmisc_1(X146,X146),X146)
| ~ m1_relset_1(X147,k2_zfmisc_1(X146,X146),X146) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_group_1])])])]) ).
fof(i_0_65,plain,
! [X117,X118] :
( ( v1_group_1(g1_group_1(X117,X118))
| ~ v1_funct_1(X118)
| ~ v1_funct_2(X118,k2_zfmisc_1(X117,X117),X117)
| ~ m1_relset_1(X118,k2_zfmisc_1(X117,X117),X117) )
& ( l1_group_1(g1_group_1(X117,X118))
| ~ v1_funct_1(X118)
| ~ v1_funct_2(X118,k2_zfmisc_1(X117,X117),X117)
| ~ m1_relset_1(X118,k2_zfmisc_1(X117,X117),X117) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g1_group_1])])]) ).
fof(i_0_66,plain,
! [X114,X115,X116] :
( ( v1_funct_1(X116)
| ~ v1_funct_1(X116)
| ~ v1_funct_2(X116,X114,X115)
| ~ m1_relset_1(X116,X114,X115)
| v1_xboole_0(X114)
| v1_xboole_0(X115) )
& ( ~ v1_xboole_0(X116)
| ~ v1_funct_1(X116)
| ~ v1_funct_2(X116,X114,X115)
| ~ m1_relset_1(X116,X114,X115)
| v1_xboole_0(X114)
| v1_xboole_0(X115) )
& ( v1_partfun1(X116,X114,X115)
| ~ v1_funct_1(X116)
| ~ v1_funct_2(X116,X114,X115)
| ~ m1_relset_1(X116,X114,X115)
| v1_xboole_0(X114)
| v1_xboole_0(X115) )
& ( v1_funct_2(X116,X114,X115)
| ~ v1_funct_1(X116)
| ~ v1_funct_2(X116,X114,X115)
| ~ m1_relset_1(X116,X114,X115)
| v1_xboole_0(X114)
| v1_xboole_0(X115) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_46])])])]) ).
fof(i_0_67,plain,
! [X111,X112,X113] :
( ( v1_funct_1(X113)
| ~ v1_funct_1(X113)
| ~ v1_funct_2(X113,X111,X112)
| ~ m1_relset_1(X113,X111,X112)
| v1_xboole_0(X112) )
& ( v1_partfun1(X113,X111,X112)
| ~ v1_funct_1(X113)
| ~ v1_funct_2(X113,X111,X112)
| ~ m1_relset_1(X113,X111,X112)
| v1_xboole_0(X112) )
& ( v1_funct_2(X113,X111,X112)
| ~ v1_funct_1(X113)
| ~ v1_funct_2(X113,X111,X112)
| ~ m1_relset_1(X113,X111,X112)
| v1_xboole_0(X112) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_47])])])]) ).
fof(i_0_68,plain,
! [X105,X106,X107] :
( ( v1_funct_1(X107)
| ~ v1_funct_1(X107)
| ~ v1_partfun1(X107,X105,X106)
| ~ m1_relset_1(X107,X105,X106) )
& ( v1_funct_2(X107,X105,X106)
| ~ v1_funct_1(X107)
| ~ v1_partfun1(X107,X105,X106)
| ~ m1_relset_1(X107,X105,X106) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_2])])]) ).
fof(i_0_69,plain,
! [X169,X170,X171] :
( ( ~ r2_hidden(X171,k1_funct_1(k1_latsubgr(X169),X170))
| r1_rlvect_1(X170,X171)
| ~ m1_subset_1(X171,u1_struct_0(X169))
| ~ v1_group_1(X170)
| ~ m1_group_2(X170,X169)
| v3_struct_0(X169)
| ~ v3_group_1(X169)
| ~ v4_group_1(X169)
| ~ l1_group_1(X169) )
& ( ~ r1_rlvect_1(X170,X171)
| r2_hidden(X171,k1_funct_1(k1_latsubgr(X169),X170))
| ~ m1_subset_1(X171,u1_struct_0(X169))
| ~ v1_group_1(X170)
| ~ m1_group_2(X170,X169)
| v3_struct_0(X169)
| ~ v3_group_1(X169)
| ~ v4_group_1(X169)
| ~ l1_group_1(X169) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_48])])])]) ).
fof(i_0_70,plain,
! [X125,X126,X127] :
( ~ m2_relset_1(X127,X125,X126)
| m1_subset_1(X127,k1_zfmisc_1(k2_zfmisc_1(X125,X126))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(i_0_71,plain,
! [X184,X185,X186] :
( v3_struct_0(X184)
| ~ v3_group_1(X184)
| ~ v4_group_1(X184)
| ~ l1_group_1(X184)
| ~ m1_subset_1(X185,u1_struct_0(X184))
| ~ m1_group_2(X186,X184)
| ~ r1_rlvect_1(X186,X185)
| r1_rlvect_1(X186,k3_group_1(X184,X185)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_49])])]) ).
fof(i_0_72,plain,
! [X165,X166,X167] :
( ( ~ m2_relset_1(X167,X165,X166)
| m1_relset_1(X167,X165,X166) )
& ( ~ m1_relset_1(X167,X165,X166)
| m2_relset_1(X167,X165,X166) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(i_0_73,plain,
! [X128] :
( ( v1_funct_1(u1_group_1(X128))
| ~ l1_group_1(X128) )
& ( v1_funct_2(u1_group_1(X128),k2_zfmisc_1(u1_struct_0(X128),u1_struct_0(X128)),u1_struct_0(X128))
| ~ l1_group_1(X128) )
& ( m2_relset_1(u1_group_1(X128),k2_zfmisc_1(u1_struct_0(X128),u1_struct_0(X128)),u1_struct_0(X128))
| ~ l1_group_1(X128) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_group_1])])]) ).
fof(i_0_74,plain,
! [X108,X109,X110] :
( ~ m1_subset_1(X110,k1_zfmisc_1(k2_zfmisc_1(X108,X109)))
| v1_relat_1(X110) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(i_0_75,plain,
! [X119] :
( ( v1_funct_1(k1_latsubgr(X119))
| v3_struct_0(X119)
| ~ v3_group_1(X119)
| ~ v4_group_1(X119)
| ~ l1_group_1(X119) )
& ( v1_funct_2(k1_latsubgr(X119),k1_group_3(X119),k1_zfmisc_1(u1_struct_0(X119)))
| v3_struct_0(X119)
| ~ v3_group_1(X119)
| ~ v4_group_1(X119)
| ~ l1_group_1(X119) )
& ( m2_relset_1(k1_latsubgr(X119),k1_group_3(X119),k1_zfmisc_1(u1_struct_0(X119)))
| v3_struct_0(X119)
| ~ v3_group_1(X119)
| ~ v4_group_1(X119)
| ~ l1_group_1(X119) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_50])])]) ).
fof(i_0_76,plain,
! [X120,X121] :
( v3_struct_0(X120)
| ~ v3_group_1(X120)
| ~ v4_group_1(X120)
| ~ l1_group_1(X120)
| ~ m1_subset_1(X121,u1_struct_0(X120))
| m1_subset_1(k3_group_1(X120,X121),u1_struct_0(X120)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_51])]) ).
fof(i_0_77,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& v1_group_1(esk2_0)
& m1_group_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& ~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_52])])]) ).
fof(i_0_78,plain,
! [X138,X139] : m2_relset_1(esk9_2(X138,X139),X138,X139),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m2_relset_1])]) ).
fof(i_0_79,plain,
! [X150,X151] :
( m1_relset_1(esk10_2(X150,X151),X150,X151)
& v1_relat_1(esk10_2(X150,X151))
& v1_funct_1(esk10_2(X150,X151))
& v1_funct_2(esk10_2(X150,X151),X150,X151) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_2])]) ).
fof(i_0_80,plain,
! [X156,X157] :
( m1_relset_1(esk13_2(X156,X157),X156,X157)
& v1_relat_1(esk13_2(X156,X157))
& v1_funct_1(esk13_2(X156,X157)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_partfun1])]) ).
fof(i_0_81,plain,
! [X133,X134] : m1_relset_1(esk7_2(X133,X134),X133,X134),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_relset_1])]) ).
fof(i_0_82,plain,
! [X178,X179,X180] :
( ~ r2_hidden(X178,X179)
| ~ m1_subset_1(X179,k1_zfmisc_1(X180))
| m1_subset_1(X178,X180) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_83,plain,
! [X181,X182,X183] :
( ~ r2_hidden(X181,X182)
| ~ m1_subset_1(X182,k1_zfmisc_1(X183))
| ~ v1_xboole_0(X183) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_84,plain,
! [X144,X145] :
( v1_xboole_0(X144)
| v1_xboole_0(X145)
| ~ v1_xboole_0(k2_zfmisc_1(X144,X145)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_53])]) ).
fof(i_0_85,plain,
! [X163] :
( ( m1_subset_1(esk17_1(X163),k1_zfmisc_1(u1_struct_0(X163)))
| v3_struct_0(X163)
| ~ l1_struct_0(X163) )
& ( ~ v1_xboole_0(esk17_1(X163))
| v3_struct_0(X163)
| ~ l1_struct_0(X163) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_54])])])]) ).
fof(i_0_86,plain,
! [X123,X124] :
( ( ~ v3_struct_0(X124)
| ~ m1_group_2(X124,X123)
| v3_struct_0(X123)
| ~ v3_group_1(X123)
| ~ l1_group_1(X123) )
& ( v3_group_1(X124)
| ~ m1_group_2(X124,X123)
| v3_struct_0(X123)
| ~ v3_group_1(X123)
| ~ l1_group_1(X123) )
& ( l1_group_1(X124)
| ~ m1_group_2(X124,X123)
| v3_struct_0(X123)
| ~ v3_group_1(X123)
| ~ l1_group_1(X123) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_55])])])]) ).
fof(i_0_87,plain,
! [X176,X177] :
( ( ~ m1_subset_1(X176,k1_zfmisc_1(X177))
| r1_tarski(X176,X177) )
& ( ~ r1_tarski(X176,X177)
| m1_subset_1(X176,k1_zfmisc_1(X177)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_88,plain,
! [X103,X104] :
( ~ r2_hidden(X103,X104)
| ~ r2_hidden(X104,X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_56])]) ).
fof(i_0_89,plain,
! [X141] :
( v3_struct_0(X141)
| ~ v3_group_1(X141)
| ~ v4_group_1(X141)
| ~ l1_group_1(X141)
| ~ v1_xboole_0(k1_group_3(X141)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_57])]) ).
fof(i_0_90,plain,
! [X102] :
( ~ l1_group_1(X102)
| ~ v1_group_1(X102)
| X102 = g1_group_1(u1_struct_0(X102),u1_group_1(X102)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_group_1])]) ).
fof(i_0_91,plain,
! [X174,X175] :
( ~ m1_subset_1(X174,X175)
| v1_xboole_0(X175)
| r2_hidden(X174,X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_92,plain,
! [X131] :
( v3_struct_0(X131)
| ~ v3_group_1(X131)
| ~ l1_group_1(X131)
| m1_group_2(esk6_1(X131),X131) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_58])])]) ).
fof(i_0_93,plain,
! [X172,X173] :
( ~ r2_hidden(X172,X173)
| m1_subset_1(X172,X173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_94,plain,
! [X153] :
( ( m1_subset_1(esk11_1(X153),k1_zfmisc_1(X153))
| v1_xboole_0(X153) )
& ( ~ v1_xboole_0(esk11_1(X153))
| v1_xboole_0(X153) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_59])])])]) ).
fof(i_0_95,plain,
! [X188,X189] :
( ~ r2_hidden(X188,X189)
| ~ v1_xboole_0(X189) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_96,plain,
! [X142] :
( v3_struct_0(X142)
| ~ l1_struct_0(X142)
| ~ v1_xboole_0(u1_struct_0(X142)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_60])]) ).
fof(i_0_97,plain,
! [X159] :
( m1_subset_1(esk14_1(X159),k1_zfmisc_1(X159))
& v1_xboole_0(esk14_1(X159)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_98,plain,
! [X136] : m1_subset_1(esk8_1(X136),X136),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_99,plain,
! [X143] : ~ v1_xboole_0(k1_zfmisc_1(X143)),
inference(variable_rename,[status(thm)],[i_0_61]) ).
fof(i_0_100,plain,
! [X190,X191] :
( ~ v1_xboole_0(X190)
| X190 = X191
| ~ v1_xboole_0(X191) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_101,plain,
! [X168] : r1_tarski(X168,X168),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_102,plain,
! [X122] :
( ~ l1_group_1(X122)
| l1_struct_0(X122) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
fof(i_0_103,plain,
! [X187] :
( ~ v1_xboole_0(X187)
| X187 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_104,plain,
~ v1_xboole_0(esk15_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_62])]) ).
fof(i_0_105,plain,
( l1_struct_0(esk16_0)
& ~ v3_struct_0(esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_63])]) ).
fof(i_0_106,plain,
l1_struct_0(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_struct_0])]) ).
fof(i_0_107,plain,
v1_xboole_0(esk12_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
fof(i_0_108,plain,
l1_group_1(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_group_1])]) ).
cnf(i_0_109,plain,
( X1 = X2
| g1_group_1(X1,X3) != g1_group_1(X2,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_110,plain,
( X1 = X2
| g1_group_1(X3,X1) != g1_group_1(X4,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_111,plain,
( v1_group_1(g1_group_1(X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_112,plain,
( l1_group_1(g1_group_1(X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_113,plain,
( v1_partfun1(X1,X2,X3)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_114,plain,
( v1_partfun1(X1,X2,X3)
| v1_xboole_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_115,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_partfun1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_116,plain,
( v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_117,plain,
( r1_rlvect_1(X3,X1)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k1_funct_1(k1_latsubgr(X2),X3))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_118,plain,
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X3),X1))
| v3_struct_0(X3)
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_119,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_120,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X3,k3_group_1(X1,X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X3,X1)
| ~ r1_rlvect_1(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_121,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_122,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_123,plain,
( m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_124,plain,
( v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_125,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_126,plain,
( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_127,plain,
( v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_128,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_129,negated_conjecture,
~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_130,plain,
m2_relset_1(esk9_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_131,plain,
v1_funct_2(esk10_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_132,plain,
m1_relset_1(esk13_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_133,plain,
m1_relset_1(esk10_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_134,plain,
m1_relset_1(esk7_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_135,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_136,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_137,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_138,plain,
( m1_subset_1(esk17_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_139,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_140,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_141,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_142,plain,
( v3_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_143,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_144,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_145,plain,
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_xboole_0(k1_group_3(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_146,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_147,plain,
( X1 = g1_group_1(u1_struct_0(X1),u1_group_1(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_148,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_149,plain,
( v3_struct_0(X1)
| m1_group_2(esk6_1(X1),X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_150,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_151,plain,
( v1_funct_1(k1_latsubgr(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_152,plain,
( m1_subset_1(esk11_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_153,plain,
v1_relat_1(esk13_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_154,plain,
v1_relat_1(esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_155,plain,
v1_funct_1(esk13_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_156,plain,
v1_funct_1(esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_157,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_158,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk17_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_159,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_160,plain,
m1_subset_1(esk14_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_161,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_162,plain,
m1_subset_1(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_163,plain,
( v1_funct_1(u1_group_1(X1))
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_164,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_165,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_166,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_167,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_168,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_169,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_170,plain,
v1_xboole_0(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_171,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_172,plain,
~ v1_xboole_0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_173,plain,
~ v3_struct_0(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_174,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_175,plain,
l1_struct_0(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_176,plain,
l1_struct_0(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_177,plain,
v1_xboole_0(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_178,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_179,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_180,plain,
l1_group_1(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_181,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_182,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_183,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_184,axiom,
X1 = X1 ).
cnf(i_0_185,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_186,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_187,axiom,
( X1 != X2
| g1_group_1(X1,X3) = g1_group_1(X2,X3) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| g1_group_1(X3,X1) = g1_group_1(X3,X2) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ m1_group_2(X1,X3)
| m1_group_2(X2,X3) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ m1_group_2(X3,X1)
| m1_group_2(X3,X2) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| ~ v3_group_1(X1)
| v3_group_1(X2) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| ~ v4_group_1(X1)
| v4_group_1(X2) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| ~ m2_relset_1(X1,X3,X4)
| m2_relset_1(X2,X3,X4) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X1,X4)
| m2_relset_1(X3,X2,X4) ) ).
cnf(i_0_200,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X4,X1)
| m2_relset_1(X3,X4,X2) ) ).
cnf(i_0_201,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_202,axiom,
( X1 != X2
| ~ l1_struct_0(X1)
| l1_struct_0(X2) ) ).
cnf(i_0_203,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_204,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_205,axiom,
( X1 != X2
| ~ v1_funct_2(X1,X3,X4)
| v1_funct_2(X2,X3,X4) ) ).
cnf(i_0_206,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X1,X4)
| v1_funct_2(X3,X2,X4) ) ).
cnf(i_0_207,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X4,X1)
| v1_funct_2(X3,X4,X2) ) ).
cnf(i_0_208,axiom,
( X1 != X2
| ~ m1_relset_1(X1,X3,X4)
| m1_relset_1(X2,X3,X4) ) ).
cnf(i_0_209,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X1,X4)
| m1_relset_1(X3,X2,X4) ) ).
cnf(i_0_210,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X4,X1)
| m1_relset_1(X3,X4,X2) ) ).
cnf(i_0_211,axiom,
( X1 != X2
| ~ v1_group_1(X1)
| v1_group_1(X2) ) ).
cnf(i_0_212,axiom,
( X1 != X2
| ~ l1_group_1(X1)
| l1_group_1(X2) ) ).
cnf(i_0_213,axiom,
( X1 != X2
| ~ v1_partfun1(X1,X3,X4)
| v1_partfun1(X2,X3,X4) ) ).
cnf(i_0_214,axiom,
( X1 != X2
| ~ v1_partfun1(X3,X1,X4)
| v1_partfun1(X3,X2,X4) ) ).
cnf(i_0_215,axiom,
( X1 != X2
| ~ v1_partfun1(X3,X4,X1)
| v1_partfun1(X3,X4,X2) ) ).
cnf(i_0_216,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_217,axiom,
( X1 != X2
| ~ r1_rlvect_1(X1,X3)
| r1_rlvect_1(X2,X3) ) ).
cnf(i_0_218,axiom,
( X1 != X2
| ~ r1_rlvect_1(X3,X1)
| r1_rlvect_1(X3,X2) ) ).
cnf(i_0_219,axiom,
( X1 != X2
| ~ v3_struct_0(X1)
| v3_struct_0(X2) ) ).
cnf(i_0_184_001,axiom,
X1 = X1 ).
cnf(i_0_185_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_186_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_187_004,axiom,
( X1 != X2
| g1_group_1(X1,X3) = g1_group_1(X2,X3) ) ).
cnf(i_0_188_005,axiom,
( X1 != X2
| g1_group_1(X3,X1) = g1_group_1(X3,X2) ) ).
cnf(i_0_189_006,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_190_007,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_191_008,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_192_009,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_193_010,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_194_011,axiom,
( X1 != X2
| ~ m1_group_2(X1,X3)
| m1_group_2(X2,X3) ) ).
cnf(i_0_195_012,axiom,
( X1 != X2
| ~ m1_group_2(X3,X1)
| m1_group_2(X3,X2) ) ).
cnf(i_0_196_013,axiom,
( X1 != X2
| ~ v3_group_1(X1)
| v3_group_1(X2) ) ).
cnf(i_0_197_014,axiom,
( X1 != X2
| ~ v4_group_1(X1)
| v4_group_1(X2) ) ).
cnf(i_0_198_015,axiom,
( X1 != X2
| ~ m2_relset_1(X1,X3,X4)
| m2_relset_1(X2,X3,X4) ) ).
cnf(i_0_199_016,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X1,X4)
| m2_relset_1(X3,X2,X4) ) ).
cnf(i_0_200_017,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X4,X1)
| m2_relset_1(X3,X4,X2) ) ).
cnf(i_0_201_018,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_202_019,axiom,
( X1 != X2
| ~ l1_struct_0(X1)
| l1_struct_0(X2) ) ).
cnf(i_0_203_020,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_204_021,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_205_022,axiom,
( X1 != X2
| ~ v1_funct_2(X1,X3,X4)
| v1_funct_2(X2,X3,X4) ) ).
cnf(i_0_206_023,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X1,X4)
| v1_funct_2(X3,X2,X4) ) ).
cnf(i_0_207_024,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X4,X1)
| v1_funct_2(X3,X4,X2) ) ).
cnf(i_0_208_025,axiom,
( X1 != X2
| ~ m1_relset_1(X1,X3,X4)
| m1_relset_1(X2,X3,X4) ) ).
cnf(i_0_209_026,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X1,X4)
| m1_relset_1(X3,X2,X4) ) ).
cnf(i_0_210_027,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X4,X1)
| m1_relset_1(X3,X4,X2) ) ).
cnf(i_0_211_028,axiom,
( X1 != X2
| ~ v1_group_1(X1)
| v1_group_1(X2) ) ).
cnf(i_0_212_029,axiom,
( X1 != X2
| ~ l1_group_1(X1)
| l1_group_1(X2) ) ).
cnf(i_0_213_030,axiom,
( X1 != X2
| ~ v1_partfun1(X1,X3,X4)
| v1_partfun1(X2,X3,X4) ) ).
cnf(i_0_214_031,axiom,
( X1 != X2
| ~ v1_partfun1(X3,X1,X4)
| v1_partfun1(X3,X2,X4) ) ).
cnf(i_0_215_032,axiom,
( X1 != X2
| ~ v1_partfun1(X3,X4,X1)
| v1_partfun1(X3,X4,X2) ) ).
cnf(i_0_216_033,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_217_034,axiom,
( X1 != X2
| ~ r1_rlvect_1(X1,X3)
| r1_rlvect_1(X2,X3) ) ).
cnf(i_0_218_035,axiom,
( X1 != X2
| ~ r1_rlvect_1(X3,X1)
| r1_rlvect_1(X3,X2) ) ).
cnf(i_0_219_036,axiom,
( X1 != X2
| ~ v3_struct_0(X1)
| v3_struct_0(X2) ) ).
cnf(i_0_220,plain,
( ~ v1_funct_1(X1)
| X2 = X2
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2) ),
inference(equality_inference,[],[109]) ).
cnf(i_0_221,plain,
( ~ v1_funct_1(X1)
| X1 = X1
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2) ),
inference(equality_inference,[],[110]) ).
cnf(i_0_222,plain,
~ r2_hidden(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),esk3_0),
inference(scs_inference,[],[i_0_146,i_0_143]) ).
cnf(i_0_223,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_224,plain,
m1_subset_1(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(scs_inference,[],[i_0_146,i_0_143,i_0_150]) ).
cnf(i_0_225,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_226,plain,
~ r2_hidden(X1,esk12_0),
inference(scs_inference,[],[i_0_146,i_0_177,i_0_143,i_0_150,i_0_157]) ).
cnf(i_0_227,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_228,plain,
l1_struct_0(esk1_0),
inference(scs_inference,[],[i_0_181,i_0_146,i_0_177,i_0_143,i_0_150,i_0_157,i_0_168]) ).
cnf(i_0_229,plain,
( ~ l1_group_1(X1)
| l1_struct_0(X1) ),
inference(rename_variables,[],[i_0_168]) ).
cnf(i_0_230,plain,
m1_relset_1(esk9_2(X1,X2),X1,X2),
inference(scs_inference,[],[i_0_181,i_0_146,i_0_177,i_0_130,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122]) ).
cnf(i_0_231,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(rename_variables,[],[i_0_122]) ).
cnf(i_0_232,plain,
v1_relat_1(esk14_1(k2_zfmisc_1(X1,X2))),
inference(scs_inference,[],[i_0_181,i_0_146,i_0_160,i_0_177,i_0_130,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125]) ).
cnf(i_0_233,plain,
m1_subset_1(esk14_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_234,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_relat_1(X1) ),
inference(rename_variables,[],[i_0_125]) ).
cnf(i_0_235,plain,
r1_tarski(esk14_1(X1),X1),
inference(scs_inference,[],[i_0_181,i_0_146,i_0_160,i_0_233,i_0_177,i_0_130,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140]) ).
cnf(i_0_236,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_237,plain,
m2_relset_1(esk13_2(X1,X2),X1,X2),
inference(scs_inference,[],[i_0_181,i_0_146,i_0_160,i_0_233,i_0_177,i_0_130,i_0_132,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121]) ).
cnf(i_0_238,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_239,plain,
~ r2_hidden(X1,esk14_1(esk12_0)),
inference(scs_inference,[],[i_0_181,i_0_146,i_0_160,i_0_233,i_0_177,i_0_130,i_0_132,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136]) ).
cnf(i_0_240,plain,
m1_subset_1(esk14_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_241,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X3,X1) ),
inference(rename_variables,[],[i_0_136]) ).
cnf(i_0_242,plain,
r2_hidden(esk14_1(X1),k1_zfmisc_1(X1)),
inference(scs_inference,[],[i_0_181,i_0_146,i_0_160,i_0_233,i_0_240,i_0_177,i_0_164,i_0_130,i_0_132,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148]) ).
cnf(i_0_243,plain,
m1_subset_1(esk14_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_244,plain,
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_245,plain,
esk3_0 != k3_group_1(esk1_0,esk3_0),
inference(scs_inference,[],[i_0_129,i_0_181,i_0_146,i_0_160,i_0_233,i_0_240,i_0_177,i_0_164,i_0_130,i_0_132,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190]) ).
cnf(i_0_246,plain,
k1_funct_1(k1_latsubgr(esk1_0),esk2_0) != esk12_0,
inference(scs_inference,[],[i_0_129,i_0_181,i_0_146,i_0_160,i_0_233,i_0_240,i_0_177,i_0_164,i_0_130,i_0_132,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191]) ).
cnf(i_0_247,plain,
esk12_0 != esk15_0,
inference(scs_inference,[],[i_0_129,i_0_181,i_0_146,i_0_160,i_0_233,i_0_240,i_0_172,i_0_177,i_0_164,i_0_130,i_0_132,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216]) ).
cnf(i_0_248,plain,
~ v3_struct_0(esk2_0),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_181,i_0_183,i_0_146,i_0_160,i_0_233,i_0_240,i_0_172,i_0_177,i_0_164,i_0_130,i_0_132,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139]) ).
cnf(i_0_249,plain,
( ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(X2)
| ~ v3_struct_0(X1) ),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_250,plain,
l1_group_1(esk2_0),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_181,i_0_183,i_0_146,i_0_160,i_0_233,i_0_240,i_0_172,i_0_177,i_0_164,i_0_130,i_0_132,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141]) ).
cnf(i_0_251,plain,
( ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2)
| l1_group_1(X1)
| v3_struct_0(X2) ),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_252,plain,
v3_group_1(esk2_0),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_181,i_0_183,i_0_146,i_0_160,i_0_233,i_0_240,i_0_172,i_0_177,i_0_164,i_0_130,i_0_132,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142]) ).
cnf(i_0_253,plain,
( ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2)
| v3_group_1(X1)
| v3_struct_0(X2) ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_254,plain,
m1_subset_1(k3_group_1(esk1_0,esk3_0),u1_struct_0(esk1_0)),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_181,i_0_182,i_0_183,i_0_166,i_0_146,i_0_160,i_0_233,i_0_240,i_0_172,i_0_177,i_0_164,i_0_130,i_0_132,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142,i_0_128]) ).
cnf(i_0_255,plain,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(k3_group_1(X2,X1),u1_struct_0(X2))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(X2) ),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_256,plain,
~ v1_xboole_0(esk10_2(esk15_0,esk15_0)),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_181,i_0_182,i_0_183,i_0_166,i_0_146,i_0_160,i_0_233,i_0_240,i_0_172,i_0_177,i_0_164,i_0_130,i_0_131,i_0_132,i_0_133,i_0_156,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142,i_0_128,i_0_116]) ).
cnf(i_0_257,plain,
v1_funct_1(esk10_2(X1,X2)),
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_258,plain,
v1_funct_2(esk10_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_259,plain,
m1_relset_1(esk10_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_260,plain,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ v1_xboole_0(X1) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_261,plain,
~ r1_rlvect_1(esk2_0,k3_group_1(esk1_0,esk3_0)),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_179,i_0_181,i_0_182,i_0_183,i_0_166,i_0_146,i_0_160,i_0_233,i_0_240,i_0_172,i_0_177,i_0_164,i_0_130,i_0_131,i_0_132,i_0_133,i_0_156,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142,i_0_128,i_0_116,i_0_118]) ).
cnf(i_0_262,plain,
( r2_hidden(X1,k1_funct_1(k1_latsubgr(X2),X3))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ r1_rlvect_1(X3,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(rename_variables,[],[i_0_118]) ).
cnf(i_0_263,plain,
r1_rlvect_1(esk2_0,esk3_0),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_179,i_0_181,i_0_182,i_0_183,i_0_166,i_0_146,i_0_160,i_0_233,i_0_240,i_0_172,i_0_177,i_0_164,i_0_130,i_0_131,i_0_132,i_0_133,i_0_156,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142,i_0_128,i_0_116,i_0_118,i_0_117]) ).
cnf(i_0_264,plain,
( ~ r2_hidden(X1,k1_funct_1(k1_latsubgr(X2),X3))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| r1_rlvect_1(X3,X1)
| v3_struct_0(X2) ),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_265,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,esk14_1(X2)) ),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_179,i_0_181,i_0_182,i_0_183,i_0_166,i_0_146,i_0_160,i_0_233,i_0_240,i_0_243,i_0_172,i_0_177,i_0_164,i_0_130,i_0_131,i_0_132,i_0_133,i_0_156,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142,i_0_128,i_0_116,i_0_118,i_0_117,i_0_135]) ).
cnf(i_0_266,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X3,X2)
| ~ r2_hidden(X3,X1) ),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_267,plain,
( v3_group_1(X1)
| esk1_0 != X1 ),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_179,i_0_181,i_0_182,i_0_183,i_0_166,i_0_146,i_0_160,i_0_233,i_0_240,i_0_243,i_0_172,i_0_177,i_0_164,i_0_130,i_0_131,i_0_132,i_0_133,i_0_156,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142,i_0_128,i_0_116,i_0_118,i_0_117,i_0_135,i_0_120,i_0_196]) ).
cnf(i_0_268,plain,
( v4_group_1(X1)
| esk1_0 != X1 ),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_179,i_0_181,i_0_182,i_0_183,i_0_166,i_0_146,i_0_160,i_0_233,i_0_240,i_0_243,i_0_172,i_0_177,i_0_164,i_0_130,i_0_131,i_0_132,i_0_133,i_0_156,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142,i_0_128,i_0_116,i_0_118,i_0_117,i_0_135,i_0_120,i_0_196,i_0_197]) ).
cnf(i_0_269,plain,
( v1_group_1(X1)
| esk2_0 != X1 ),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_179,i_0_181,i_0_182,i_0_183,i_0_166,i_0_146,i_0_160,i_0_233,i_0_240,i_0_243,i_0_172,i_0_177,i_0_164,i_0_130,i_0_131,i_0_132,i_0_133,i_0_156,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142,i_0_128,i_0_116,i_0_118,i_0_117,i_0_135,i_0_120,i_0_196,i_0_197,i_0_211]) ).
cnf(i_0_270,plain,
( l1_group_1(X1)
| esk1_0 != X1 ),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_179,i_0_181,i_0_182,i_0_183,i_0_166,i_0_146,i_0_160,i_0_233,i_0_240,i_0_243,i_0_172,i_0_177,i_0_164,i_0_130,i_0_131,i_0_132,i_0_133,i_0_156,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142,i_0_128,i_0_116,i_0_118,i_0_117,i_0_135,i_0_120,i_0_196,i_0_197,i_0_211,i_0_212]) ).
cnf(i_0_271,plain,
( v1_funct_1(X1)
| esk13_2(X2,X3) != X1 ),
inference(scs_inference,[],[i_0_129,i_0_169,i_0_174,i_0_179,i_0_181,i_0_182,i_0_183,i_0_166,i_0_146,i_0_160,i_0_233,i_0_240,i_0_243,i_0_172,i_0_177,i_0_164,i_0_130,i_0_131,i_0_132,i_0_133,i_0_155,i_0_156,i_0_143,i_0_150,i_0_157,i_0_168,i_0_122,i_0_125,i_0_140,i_0_121,i_0_136,i_0_148,i_0_190,i_0_191,i_0_216,i_0_139,i_0_141,i_0_142,i_0_128,i_0_116,i_0_118,i_0_117,i_0_135,i_0_120,i_0_196,i_0_197,i_0_211,i_0_212,i_0_189]) ).
cnf(i_0_272,plain,
v3_group_1(esk1_0),
inference(equality_inference,[],[267]) ).
cnf(i_0_273,plain,
v4_group_1(esk1_0),
inference(equality_inference,[],[268]) ).
cnf(i_0_274,plain,
v1_group_1(esk2_0),
inference(equality_inference,[],[269]) ).
cnf(i_0_275,plain,
l1_group_1(esk1_0),
inference(equality_inference,[],[270]) ).
cnf(i_0_276,plain,
v1_funct_1(esk13_2(X1,X2)),
inference(equality_inference,[],[271]) ).
cnf(i_0_277,plain,
~ r2_hidden(k1_zfmisc_1(X1),esk14_1(X1)),
inference(scs_inference,[],[i_0_242,i_0_143]) ).
cnf(i_0_278,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_279,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_242,i_0_178,i_0_143,i_0_157]) ).
cnf(i_0_280,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_281,plain,
l1_struct_0(esk2_0),
inference(scs_inference,[],[i_0_242,i_0_250,i_0_178,i_0_143,i_0_157,i_0_168]) ).
cnf(i_0_282,plain,
( ~ l1_group_1(X1)
| l1_struct_0(X1) ),
inference(rename_variables,[],[i_0_168]) ).
cnf(i_0_283,plain,
r1_tarski(esk8_1(k1_zfmisc_1(X1)),X1),
inference(scs_inference,[],[i_0_242,i_0_250,i_0_162,i_0_178,i_0_143,i_0_157,i_0_168,i_0_140]) ).
cnf(i_0_284,plain,
m1_subset_1(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_285,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_286,plain,
m2_relset_1(esk7_2(X1,X2),X1,X2),
inference(scs_inference,[],[i_0_242,i_0_250,i_0_162,i_0_178,i_0_134,i_0_143,i_0_157,i_0_168,i_0_140,i_0_121]) ).
cnf(i_0_287,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_288,plain,
~ r2_hidden(X1,esk8_1(k1_zfmisc_1(k1_xboole_0))),
inference(scs_inference,[],[i_0_242,i_0_250,i_0_162,i_0_284,i_0_178,i_0_134,i_0_143,i_0_157,i_0_168,i_0_140,i_0_121,i_0_136]) ).
cnf(i_0_289,plain,
m1_subset_1(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_290,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X3,X1) ),
inference(rename_variables,[],[i_0_136]) ).
cnf(i_0_291,plain,
r2_hidden(esk8_1(esk10_2(esk15_0,esk15_0)),esk10_2(esk15_0,esk15_0)),
inference(scs_inference,[],[i_0_242,i_0_250,i_0_162,i_0_284,i_0_289,i_0_256,i_0_178,i_0_134,i_0_143,i_0_157,i_0_168,i_0_140,i_0_121,i_0_136,i_0_148]) ).
cnf(i_0_292,plain,
m1_subset_1(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_293,plain,
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_294,plain,
k1_funct_1(k1_latsubgr(esk1_0),esk2_0) != esk14_1(esk12_0),
inference(scs_inference,[],[i_0_146,i_0_242,i_0_239,i_0_250,i_0_162,i_0_284,i_0_289,i_0_256,i_0_178,i_0_134,i_0_143,i_0_157,i_0_168,i_0_140,i_0_121,i_0_136,i_0_148,i_0_191]) ).
cnf(i_0_295,plain,
~ r2_hidden(X1,esk14_1(esk12_0)),
inference(rename_variables,[],[i_0_239]) ).
cnf(i_0_296,plain,
k1_xboole_0 != esk10_2(esk15_0,esk15_0),
inference(scs_inference,[],[i_0_146,i_0_242,i_0_239,i_0_250,i_0_162,i_0_284,i_0_289,i_0_256,i_0_178,i_0_134,i_0_143,i_0_157,i_0_168,i_0_140,i_0_121,i_0_136,i_0_148,i_0_191,i_0_216]) ).
cnf(i_0_297,plain,
m1_subset_1(k3_group_1(esk1_0,k3_group_1(esk1_0,esk3_0)),u1_struct_0(esk1_0)),
inference(scs_inference,[],[i_0_182,i_0_146,i_0_174,i_0_183,i_0_181,i_0_242,i_0_239,i_0_254,i_0_250,i_0_162,i_0_284,i_0_289,i_0_256,i_0_178,i_0_134,i_0_143,i_0_157,i_0_168,i_0_140,i_0_121,i_0_136,i_0_148,i_0_191,i_0_216,i_0_128]) ).
cnf(i_0_298,plain,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(k3_group_1(X2,X1),u1_struct_0(X2))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(X2) ),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_299,plain,
~ v1_xboole_0(esk10_2(esk10_2(esk15_0,esk15_0),esk10_2(esk15_0,esk15_0))),
inference(scs_inference,[],[i_0_182,i_0_146,i_0_174,i_0_183,i_0_181,i_0_242,i_0_239,i_0_254,i_0_250,i_0_162,i_0_284,i_0_289,i_0_256,i_0_178,i_0_134,i_0_131,i_0_133,i_0_156,i_0_143,i_0_157,i_0_168,i_0_140,i_0_121,i_0_136,i_0_148,i_0_191,i_0_216,i_0_128,i_0_116]) ).
cnf(i_0_300,plain,
v1_funct_1(esk10_2(X1,X2)),
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_301,plain,
v1_funct_2(esk10_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_302,plain,
m1_relset_1(esk10_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_303,plain,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ v1_xboole_0(X1) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_304,plain,
$false,
inference(scs_inference,[],[i_0_166,i_0_182,i_0_146,i_0_169,i_0_174,i_0_183,i_0_181,i_0_242,i_0_239,i_0_261,i_0_254,i_0_250,i_0_263,i_0_162,i_0_284,i_0_289,i_0_256,i_0_178,i_0_134,i_0_131,i_0_133,i_0_156,i_0_143,i_0_157,i_0_168,i_0_140,i_0_121,i_0_136,i_0_148,i_0_191,i_0_216,i_0_128,i_0_116,i_0_120]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP644+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n031.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 18:56:38 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 0.34/1.60 % Version : CSE_E---1.7
% 0.34/1.60 % Problem : theBenchmark.p
% 0.34/1.60 % SZS status Theorem for theBenchmark.p
% 0.34/1.60 % SZS output start CNFRefutation
% See solution above
% 0.64/1.94 % Total time : 1.270s
%------------------------------------------------------------------------------