%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG218+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:55:38 AM UTC 2026
% Result : Theorem 0.18s 0.55s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 114 ( 35 unt; 0 def)
% Number of atoms : 556 ( 51 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 682 ( 240 ~; 219 |; 181 &)
% ( 7 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 149 ( 3 sgn 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc2_vectsp_2,axiom,
! [X1] :
( l1_vectsp_1(X1)
=> ( ( v8_vectsp_1(X1)
& v7_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( v8_vectsp_1(X1)
& v6_vectsp_1(X1)
& v2_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_vectsp_2) ).
fof(dt_l2_vectsp_1,axiom,
! [X1] :
( l2_vectsp_1(X1)
=> ( l2_struct_0(X1)
& l1_vectsp_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_vectsp_1) ).
fof(dt_l3_vectsp_1,axiom,
! [X1] :
( l3_vectsp_1(X1)
=> ( l2_vectsp_1(X1)
& l1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(t10_rmod_5,axiom,
! [X1,X2] :
( ( l3_vectsp_1(X2)
& v2_vectsp_2(X2)
& ~ v10_vectsp_1(X2)
& v8_vectsp_1(X2)
& v7_vectsp_1(X2)
& v6_vectsp_1(X2)
& v7_group_1(X2)
& v4_group_1(X2)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( l1_vectsp_2(X3,X2)
& v5_vectsp_2(X3,X2)
& v6_rlvect_1(X3)
& v5_rlvect_1(X3)
& v4_rlvect_1(X3)
& v3_rlvect_1(X3)
& ~ v3_struct_0(X3) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
=> ( r2_hidden(X1,X4)
=> r1_rlvect_1(k1_rmod_5(X2,X3,X4),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_rmod_5) ).
fof(t12_rmod_5,conjecture,
! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ~ ( X3 != k7_rlvect_2(X2,k1_rlvect_1(X2))
& X3 != k1_xboole_0
& k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_rmod_5) ).
fof(t46_rmod_2,axiom,
! [X1,X2] :
( ( l3_vectsp_1(X2)
& v8_vectsp_1(X2)
& v7_vectsp_1(X2)
& v6_vectsp_1(X2)
& v4_group_1(X2)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( l1_vectsp_2(X3,X2)
& v5_vectsp_2(X3,X2)
& v6_rlvect_1(X3)
& v5_rlvect_1(X3)
& v4_rlvect_1(X3)
& v3_rlvect_1(X3)
& ~ v3_struct_0(X3) )
=> ( r1_rlvect_1(k1_rmod_2(X2,X3),X1)
<=> X1 = k1_rlvect_1(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_rmod_2) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = k1_tarski(X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X2,X1)
& r1_tarski(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(dt_l1_vectsp_2,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( l1_vectsp_2(X2,X1)
=> l1_rlvect_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
fof(redefinition_k7_rlvect_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> k7_rlvect_2(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_rlvect_2) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(dt_l1_rlvect_1,axiom,
! [X1] :
( l1_rlvect_1(X1)
=> l2_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(dt_l2_struct_0,axiom,
! [X1] :
( l2_struct_0(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(c_0_17,plain,
! [X1] :
( l1_vectsp_1(X1)
=> ( ( v8_vectsp_1(X1)
& v7_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( v8_vectsp_1(X1)
& v6_vectsp_1(X1)
& v2_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc2_vectsp_2]) ).
fof(c_0_18,plain,
! [X117] :
( ( ~ l2_vectsp_1(X117)
| l2_struct_0(X117) )
& ( ~ l2_vectsp_1(X117)
| l1_vectsp_1(X117) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_vectsp_1])])])]) ).
fof(c_0_19,plain,
! [X100] :
( ( ~ l3_vectsp_1(X100)
| l2_vectsp_1(X100) )
& ( ~ l3_vectsp_1(X100)
| l1_rlvect_1(X100) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_vectsp_1])])])]) ).
fof(c_0_20,plain,
! [X1,X2] :
( ( l3_vectsp_1(X2)
& v2_vectsp_2(X2)
& ~ v10_vectsp_1(X2)
& v8_vectsp_1(X2)
& v7_vectsp_1(X2)
& v6_vectsp_1(X2)
& v7_group_1(X2)
& v4_group_1(X2)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( l1_vectsp_2(X3,X2)
& v5_vectsp_2(X3,X2)
& v6_rlvect_1(X3)
& v5_rlvect_1(X3)
& v4_rlvect_1(X3)
& v3_rlvect_1(X3)
& ~ v3_struct_0(X3) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
=> ( r2_hidden(X1,X4)
=> r1_rlvect_1(k1_rmod_5(X2,X3,X4),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t10_rmod_5]) ).
fof(c_0_21,plain,
! [X102] :
( ( ~ l1_vectsp_1(X102)
| ~ v8_vectsp_1(X102)
| ~ v7_group_1(X102)
| v3_struct_0(X102)
| v8_vectsp_1(X102) )
& ( ~ l1_vectsp_1(X102)
| ~ v8_vectsp_1(X102)
| ~ v7_group_1(X102)
| v3_struct_0(X102)
| v6_vectsp_1(X102) )
& ( ~ l1_vectsp_1(X102)
| ~ v8_vectsp_1(X102)
| ~ v7_group_1(X102)
| v3_struct_0(X102)
| v2_group_1(X102) )
& ( ~ l1_vectsp_1(X102)
| ~ v8_vectsp_1(X102)
| ~ v7_group_1(X102)
| v3_struct_0(X102)
| ~ v3_struct_0(X102) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
cnf(c_0_22,plain,
( ~ l2_vectsp_1(X1)
| l1_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( ~ l3_vectsp_1(X1)
| l2_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,negated_conjecture,
~ ! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ~ ( X3 != k7_rlvect_2(X2,k1_rlvect_1(X2))
& X3 != k1_xboole_0
& k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2) ) ) ) ),
inference(assume_negation,[status(cth)],[t12_rmod_5]) ).
fof(c_0_25,plain,
! [X28,X29,X30,X31] :
( r1_rlvect_1(k1_rmod_5(X29,X30,X31),X28)
| ~ r2_hidden(X28,X31)
| ~ m1_subset_1(X31,k1_zfmisc_1(u1_struct_0(X30)))
| ~ l1_vectsp_2(X30,X29)
| ~ v5_vectsp_2(X30,X29)
| ~ v6_rlvect_1(X30)
| ~ v5_rlvect_1(X30)
| ~ v4_rlvect_1(X30)
| ~ v3_rlvect_1(X30)
| v3_struct_0(X30)
| ~ l3_vectsp_1(X29)
| ~ v2_vectsp_2(X29)
| v10_vectsp_1(X29)
| ~ v8_vectsp_1(X29)
| ~ v7_vectsp_1(X29)
| ~ v6_vectsp_1(X29)
| ~ v7_group_1(X29)
| ~ v4_group_1(X29)
| ~ v6_rlvect_1(X29)
| ~ v5_rlvect_1(X29)
| ~ v4_rlvect_1(X29)
| ~ v3_rlvect_1(X29)
| v3_struct_0(X29) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_26,plain,
( ~ l1_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_group_1(X1)
| v3_struct_0(X1)
| v6_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( ~ l3_vectsp_1(X1)
| l1_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_28,negated_conjecture,
~ ! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ~ ( X3 != k7_rlvect_2(X2,k1_rlvect_1(X2))
& X3 != k1_xboole_0
& k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_29,plain,
! [X1,X2] :
( ( l3_vectsp_1(X2)
& v8_vectsp_1(X2)
& v7_vectsp_1(X2)
& v6_vectsp_1(X2)
& v4_group_1(X2)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( l1_vectsp_2(X3,X2)
& v5_vectsp_2(X3,X2)
& v6_rlvect_1(X3)
& v5_rlvect_1(X3)
& v4_rlvect_1(X3)
& v3_rlvect_1(X3)
& ~ v3_struct_0(X3) )
=> ( r1_rlvect_1(k1_rmod_2(X2,X3),X1)
<=> X1 = k1_rlvect_1(X3) ) ) ),
inference(fof_simplification,[status(thm)],[t46_rmod_2]) ).
cnf(c_0_30,plain,
( ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| r1_rlvect_1(k1_rmod_5(X1,X2,X3),X4)
| v3_struct_0(X2)
| v10_vectsp_1(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( ~ v7_group_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| v3_struct_0(X1)
| v6_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_32,negated_conjecture,
( esk3_0 != k7_rlvect_2(esk2_0,k1_rlvect_1(esk2_0))
& esk3_0 != k1_xboole_0
& k1_rmod_5(esk1_0,esk2_0,esk3_0) = k1_rmod_2(esk1_0,esk2_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& l1_vectsp_2(esk2_0,esk1_0)
& v5_vectsp_2(esk2_0,esk1_0)
& v6_rlvect_1(esk2_0)
& v5_rlvect_1(esk2_0)
& v4_rlvect_1(esk2_0)
& v3_rlvect_1(esk2_0)
& ~ v3_struct_0(esk2_0)
& l3_vectsp_1(esk1_0)
& v2_vectsp_2(esk1_0)
& ~ v10_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_group_1(esk1_0)
& v4_group_1(esk1_0)
& v6_rlvect_1(esk1_0)
& v5_rlvect_1(esk1_0)
& v4_rlvect_1(esk1_0)
& v3_rlvect_1(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_33,plain,
! [X19,X20,X21] :
( ( ~ l3_vectsp_1(X20)
| ~ v8_vectsp_1(X20)
| ~ v7_vectsp_1(X20)
| ~ v6_vectsp_1(X20)
| ~ v4_group_1(X20)
| ~ v6_rlvect_1(X20)
| ~ v5_rlvect_1(X20)
| ~ v4_rlvect_1(X20)
| ~ v3_rlvect_1(X20)
| v3_struct_0(X20)
| ~ l1_vectsp_2(X21,X20)
| ~ v5_vectsp_2(X21,X20)
| ~ v6_rlvect_1(X21)
| ~ v5_rlvect_1(X21)
| ~ v4_rlvect_1(X21)
| ~ v3_rlvect_1(X21)
| v3_struct_0(X21)
| r1_rlvect_1(k1_rmod_2(X20,X21),X19)
| X19 != k1_rlvect_1(X21) )
& ( ~ l3_vectsp_1(X20)
| ~ v8_vectsp_1(X20)
| ~ v7_vectsp_1(X20)
| ~ v6_vectsp_1(X20)
| ~ v4_group_1(X20)
| ~ v6_rlvect_1(X20)
| ~ v5_rlvect_1(X20)
| ~ v4_rlvect_1(X20)
| ~ v3_rlvect_1(X20)
| v3_struct_0(X20)
| ~ l1_vectsp_2(X21,X20)
| ~ v5_vectsp_2(X21,X20)
| ~ v6_rlvect_1(X21)
| ~ v5_rlvect_1(X21)
| ~ v4_rlvect_1(X21)
| ~ v3_rlvect_1(X21)
| v3_struct_0(X21)
| X19 = k1_rlvect_1(X21)
| ~ r1_rlvect_1(k1_rmod_2(X20,X21),X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).
cnf(c_0_34,plain,
( ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r2_hidden(X4,X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v10_vectsp_1(X1)
| r1_rlvect_1(k1_rmod_5(X1,X2,X3),X4) ),
inference(csr,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk3_0) = k1_rmod_2(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
v2_vectsp_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_46,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_47,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_48,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_49,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_50,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_51,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_53,negated_conjecture,
~ v10_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_54,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_55,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_56,plain,
( ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ r1_rlvect_1(k1_rmod_2(X1,X2),X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| X3 = k1_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_57,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| r1_rlvect_1(k1_rmod_2(esk1_0,esk2_0),X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52])]),c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_58,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_59,plain,
! [X132,X133,X134,X135,X136] :
( ( r1_tarski(X135,X136)
| ~ r2_hidden(esk24_2(X135,X136),X136) )
& ( r1_tarski(X135,X136)
| r2_hidden(esk24_2(X135,X136),X135) )
& ( r2_hidden(X134,X133)
| ~ r2_hidden(X134,X132)
| ~ r1_tarski(X132,X133) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).
fof(c_0_60,plain,
! [X124,X125] :
( ~ v1_xboole_0(X125)
| ~ r2_hidden(X124,X125) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
cnf(c_0_61,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| X1 = k1_rlvect_1(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_37]),c_0_38]),c_0_39]),c_0_41]),c_0_42]),c_0_58]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52])]),c_0_54]),c_0_55]) ).
cnf(c_0_62,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk24_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_63,plain,
! [X108,X109,X110,X111,X112,X113] :
( ( X113 = k1_tarski(X112)
| esk20_2(X112,X113) = X112
| r2_hidden(esk20_2(X112,X113),X113) )
& ( X113 = k1_tarski(X112)
| esk20_2(X112,X113) != X112
| ~ r2_hidden(esk20_2(X112,X113),X113) )
& ( X109 != k1_tarski(X108)
| r2_hidden(X111,X109)
| X111 != X108 )
& ( X109 != k1_tarski(X108)
| X110 = X108
| ~ r2_hidden(X110,X109) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])])]) ).
fof(c_0_64,plain,
! [X147,X148] :
( ( X147 = X148
| ~ r1_tarski(X148,X147)
| ~ r1_tarski(X147,X148) )
& ( X147 != X148
| r1_tarski(X148,X147) )
& ( X147 != X148
| r1_tarski(X147,X148) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])]) ).
cnf(c_0_65,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_66,plain,
! [X54,X55] :
( ( m1_subset_1(X54,k1_zfmisc_1(X55))
| ~ r1_tarski(X54,X55) )
& ( r1_tarski(X54,X55)
| ~ m1_subset_1(X54,k1_zfmisc_1(X55)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
cnf(c_0_67,plain,
( ~ r2_hidden(esk24_2(X1,X2),X2)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( r1_tarski(esk3_0,X1)
| esk24_2(esk3_0,X1) = k1_rlvect_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_69,plain,
( X3 != k1_tarski(X2)
| X1 != X2
| r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,plain,
( X2 != k1_tarski(X3)
| ~ r2_hidden(X1,X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,plain,
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_72,plain,
( ~ v1_xboole_0(X1)
| r1_tarski(X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_62]) ).
cnf(c_0_73,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( ~ r2_hidden(k1_rlvect_1(esk2_0),X1)
| r1_tarski(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_75,plain,
r2_hidden(X1,k1_tarski(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_69])]) ).
cnf(c_0_76,plain,
( ~ r2_hidden(X1,k1_tarski(X2))
| X1 = X2 ),
inference(er,[status(thm)],[c_0_70]) ).
cnf(c_0_77,plain,
( ~ r1_tarski(X1,X2)
| ~ v1_xboole_0(X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( r2_hidden(k1_rlvect_1(esk2_0),esk3_0)
| r1_tarski(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_68]) ).
fof(c_0_79,plain,
! [X43,X44] :
( m1_subset_1(X43,X44)
| ~ r2_hidden(X43,X44) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_80,plain,
( ~ r2_hidden(X3,X1)
| ~ r1_tarski(X1,X2)
| r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_81,negated_conjecture,
r1_tarski(esk3_0,u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_73,c_0_36]) ).
fof(c_0_82,plain,
! [X77,X78] :
( l1_rlvect_1(X78)
| ~ l1_vectsp_2(X78,X77)
| ~ l1_struct_0(X77) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_vectsp_2])])])]) ).
fof(c_0_83,plain,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> k7_rlvect_2(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k7_rlvect_2]) ).
cnf(c_0_84,negated_conjecture,
r1_tarski(esk3_0,k1_tarski(k1_rlvect_1(esk2_0))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,plain,
( r1_tarski(k1_tarski(X1),X2)
| esk24_2(k1_tarski(X1),X2) = X1 ),
inference(spm,[status(thm)],[c_0_76,c_0_62]) ).
cnf(c_0_86,negated_conjecture,
( ~ v1_xboole_0(X1)
| r2_hidden(k1_rlvect_1(esk2_0),esk3_0)
| esk3_0 = X1 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_87,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_88,negated_conjecture,
esk3_0 != k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_89,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_90,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| r2_hidden(X1,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_91,plain,
! [X116] :
( l2_struct_0(X116)
| ~ l1_rlvect_1(X116) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])])]) ).
cnf(c_0_92,plain,
( ~ l1_vectsp_2(X2,X1)
| ~ l1_struct_0(X1)
| l1_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_93,plain,
! [X16,X17] :
( k7_rlvect_2(X16,X17) = k1_tarski(X17)
| ~ m1_subset_1(X17,u1_struct_0(X16))
| ~ l1_struct_0(X16)
| v3_struct_0(X16) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])]) ).
cnf(c_0_94,negated_conjecture,
( ~ r1_tarski(k1_tarski(k1_rlvect_1(esk2_0)),esk3_0)
| k1_tarski(k1_rlvect_1(esk2_0)) = esk3_0 ),
inference(spm,[status(thm)],[c_0_71,c_0_84]) ).
cnf(c_0_95,plain,
( ~ r2_hidden(X1,X2)
| r1_tarski(k1_tarski(X1),X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_85]) ).
cnf(c_0_96,negated_conjecture,
r2_hidden(k1_rlvect_1(esk2_0),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_97,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
fof(c_0_98,plain,
! [X106] :
( l1_struct_0(X106)
| ~ l2_struct_0(X106) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])]) ).
cnf(c_0_99,plain,
( ~ l1_rlvect_1(X1)
| l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_100,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| l1_rlvect_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_37]) ).
cnf(c_0_101,negated_conjecture,
esk3_0 != k7_rlvect_2(esk2_0,k1_rlvect_1(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_102,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| k7_rlvect_2(X1,X2) = k1_tarski(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_103,negated_conjecture,
k1_tarski(k1_rlvect_1(esk2_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).
cnf(c_0_104,negated_conjecture,
m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_97,c_0_96]) ).
cnf(c_0_105,plain,
( ~ l2_struct_0(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_106,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| l2_struct_0(esk2_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,plain,
( ~ l3_vectsp_1(X1)
| l1_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_108,negated_conjecture,
~ l1_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_55]),c_0_103]),c_0_104])]) ).
cnf(c_0_109,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| l1_struct_0(esk2_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,plain,
( ~ l3_vectsp_1(X1)
| l2_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,plain,
( ~ l3_vectsp_1(X1)
| l1_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG218+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 13:03:59 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.55 % Version: 3.5.1
% 0.18/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.55 % Starting sh5l with 300s (1) cores
% 0.18/0.55 % sh5l with pid 1812235 completed with status 0
% 0.18/0.55 % Result found by sh5l
% 0.18/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.55 % Starting sh5l with 300s (1) cores
% 0.18/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.18/0.55 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.55 % Search class: FGHSM-FSLM31-SFFFFFNN
% 0.18/0.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.18/0.55 % SubtermCWHack with pid 1812250 completed with status 0
% 0.18/0.55 % Result found by SubtermCWHack
% 0.18/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.55 % Starting sh5l with 300s (1) cores
% 0.18/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.18/0.55 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.55 % Search class: FGHSM-FSLM31-SFFFFFNN
% 0.18/0.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.18/0.55 % Preprocessing time : 0.004 s
% 0.18/0.55
% 0.18/0.55 % Proof found!
% 0.18/0.55 % SZS status Theorem
% 0.18/0.55 % SZS output start CNFRefutation
% See solution above
% 0.18/0.55 % Parsed axioms : 79
% 0.18/0.55 % Removed by relevancy pruning/SinE : 9
% 0.18/0.55 % Initial clauses : 159
% 0.18/0.55 % Removed in clause preprocessing : 4
% 0.18/0.55 % Initial clauses in saturation : 155
% 0.18/0.55 % Processed clauses : 1003
% 0.18/0.55 % ...of these trivial : 1
% 0.18/0.55 % ...subsumed : 509
% 0.18/0.55 % ...remaining for further processing : 493
% 0.18/0.55 % Other redundant clauses eliminated : 9
% 0.18/0.55 % Clauses deleted for lack of memory : 0
% 0.18/0.55 % Backward-subsumed : 22
% 0.18/0.55 % Backward-rewritten : 31
% 0.18/0.55 % Generated clauses : 1622
% 0.18/0.55 % ...of the previous two non-redundant : 1419
% 0.18/0.55 % ...aggressively subsumed : 0
% 0.18/0.55 % Contextual simplify-reflections : 5
% 0.18/0.55 % Paramodulations : 1610
% 0.18/0.55 % Factorizations : 2
% 0.18/0.55 % NegExts : 0
% 0.18/0.55 % Equation resolutions : 9
% 0.18/0.55 % Disequality decompositions : 0
% 0.18/0.55 % Total rewrite steps : 491
% 0.18/0.55 % ...of those cached : 433
% 0.18/0.55 % Propositional unsat checks : 0
% 0.18/0.55 % Propositional check models : 0
% 0.18/0.55 % Propositional check unsatisfiable : 0
% 0.18/0.55 % Propositional clauses : 0
% 0.18/0.55 % Propositional clauses after purity: 0
% 0.18/0.55 % Propositional unsat core size : 0
% 0.18/0.55 % Propositional preprocessing time : 0.000
% 0.18/0.55 % Propositional encoding time : 0.000
% 0.18/0.55 % Propositional solver time : 0.000
% 0.18/0.55 % Success case prop preproc time : 0.000
% 0.18/0.55 % Success case prop encoding time : 0.000
% 0.18/0.55 % Success case prop solver time : 0.000
% 0.18/0.55 % Current number of processed clauses : 433
% 0.18/0.55 % Positive orientable unit clauses : 72
% 0.18/0.55 % Positive unorientable unit clauses: 0
% 0.18/0.55 % Negative unit clauses : 52
% 0.18/0.55 % Non-unit-clauses : 309
% 0.18/0.55 % Current number of unprocessed clauses: 495
% 0.18/0.55 % ...number of literals in the above : 2161
% 0.18/0.55 % Current number of archived formulas : 0
% 0.18/0.55 % Current number of archived clauses : 55
% 0.18/0.55 % Clause-clause subsumption calls (NU) : 83965
% 0.18/0.55 % Rec. Clause-clause subsumption calls : 19064
% 0.18/0.55 % Non-unit clause-clause subsumptions : 277
% 0.18/0.55 % Unit Clause-clause subsumption calls : 2416
% 0.18/0.55 % Rewrite failures with RHS unbound : 0
% 0.18/0.55 % BW rewrite match attempts : 9
% 0.18/0.55 % BW rewrite match successes : 9
% 0.18/0.55 % Condensation attempts : 0
% 0.18/0.55 % Condensation successes : 0
% 0.18/0.55 % Termbank termtop insertions : 36041
% 0.18/0.55 % Search garbage collected termcells : 2628
% 0.18/0.55
% 0.18/0.55 % -------------------------------------------------
% 0.18/0.55 % User time : 0.087 s
% 0.18/0.55 % System time : 0.004 s
% 0.18/0.55 % Total time : 0.091 s
% 0.18/0.55 % Maximum resident set size: 4244 pages
% 0.18/0.55
% 0.18/0.55 % -------------------------------------------------
% 0.18/0.55 % User time : 0.093 s
% 0.18/0.55 % System time : 0.007 s
% 0.18/0.55 % Total time : 0.099 s
% 0.18/0.55 % Maximum resident set size: 4608 pages
% 0.18/0.55 % E exiting
%------------------------------------------------------------------------------