%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP034+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.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 05:56:40 PM UTC 2026
% Result : Theorem 1.40s 1.75s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 46 ( 6 avg)
% Number of connectives : 287 ( 101 ~; 116 |; 54 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t22_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v3_borsuk_1(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(t23_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> r1_borsuk_1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_tsp_2) ).
fof(d20_borsuk_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& m1_pre_topc(X2,X1) )
=> ( r1_borsuk_1(X1,X2)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v3_borsuk_1(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_borsuk_1) ).
fof(redefinition_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(c_0_4,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v3_borsuk_1(X3,X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[t22_tsp_2]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> r1_borsuk_1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t23_tsp_2])]) ).
fof(c_0_6,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& m1_pre_topc(X2,X1) )
=> ( r1_borsuk_1(X1,X2)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v3_borsuk_1(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[d20_borsuk_1]) ).
fof(c_0_7,plain,
! [X306,X307] :
( ( v1_funct_1(esk23_2(X306,X307))
| v3_struct_0(X307)
| ~ v2_tsp_2(X307,X306)
| ~ m2_tsp_1(X307,X306)
| v3_struct_0(X306)
| ~ v2_pre_topc(X306)
| ~ l1_pre_topc(X306) )
& ( v1_funct_2(esk23_2(X306,X307),u1_struct_0(X306),u1_struct_0(X307))
| v3_struct_0(X307)
| ~ v2_tsp_2(X307,X306)
| ~ m2_tsp_1(X307,X306)
| v3_struct_0(X306)
| ~ v2_pre_topc(X306)
| ~ l1_pre_topc(X306) )
& ( v5_pre_topc(esk23_2(X306,X307),X306,X307)
| v3_struct_0(X307)
| ~ v2_tsp_2(X307,X306)
| ~ m2_tsp_1(X307,X306)
| v3_struct_0(X306)
| ~ v2_pre_topc(X306)
| ~ l1_pre_topc(X306) )
& ( m2_relset_1(esk23_2(X306,X307),u1_struct_0(X306),u1_struct_0(X307))
| v3_struct_0(X307)
| ~ v2_tsp_2(X307,X306)
| ~ m2_tsp_1(X307,X306)
| v3_struct_0(X306)
| ~ v2_pre_topc(X306)
| ~ l1_pre_topc(X306) )
& ( v3_borsuk_1(esk23_2(X306,X307),X306,X307)
| v3_struct_0(X307)
| ~ v2_tsp_2(X307,X306)
| ~ m2_tsp_1(X307,X306)
| v3_struct_0(X306)
| ~ v2_pre_topc(X306)
| ~ l1_pre_topc(X306) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_8,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_tsp_2(esk2_0,esk1_0)
& m2_tsp_1(esk2_0,esk1_0)
& ~ r1_borsuk_1(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,plain,
! [X301,X302] :
( ( ~ m2_tsp_1(X302,X301)
| m1_pre_topc(X302,X301)
| ~ l1_pre_topc(X301) )
& ( ~ m1_pre_topc(X302,X301)
| m2_tsp_1(X302,X301)
| ~ l1_pre_topc(X301) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])]) ).
fof(c_0_10,plain,
! [X246,X247,X249] :
( ( v1_funct_1(esk3_2(X246,X247))
| ~ r1_borsuk_1(X246,X247)
| v3_struct_0(X247)
| ~ m1_pre_topc(X247,X246)
| v3_struct_0(X246)
| ~ v2_pre_topc(X246)
| ~ l1_pre_topc(X246) )
& ( v1_funct_2(esk3_2(X246,X247),u1_struct_0(X246),u1_struct_0(X247))
| ~ r1_borsuk_1(X246,X247)
| v3_struct_0(X247)
| ~ m1_pre_topc(X247,X246)
| v3_struct_0(X246)
| ~ v2_pre_topc(X246)
| ~ l1_pre_topc(X246) )
& ( v5_pre_topc(esk3_2(X246,X247),X246,X247)
| ~ r1_borsuk_1(X246,X247)
| v3_struct_0(X247)
| ~ m1_pre_topc(X247,X246)
| v3_struct_0(X246)
| ~ v2_pre_topc(X246)
| ~ l1_pre_topc(X246) )
& ( m2_relset_1(esk3_2(X246,X247),u1_struct_0(X246),u1_struct_0(X247))
| ~ r1_borsuk_1(X246,X247)
| v3_struct_0(X247)
| ~ m1_pre_topc(X247,X246)
| v3_struct_0(X246)
| ~ v2_pre_topc(X246)
| ~ l1_pre_topc(X246) )
& ( v3_borsuk_1(esk3_2(X246,X247),X246,X247)
| ~ r1_borsuk_1(X246,X247)
| v3_struct_0(X247)
| ~ m1_pre_topc(X247,X246)
| v3_struct_0(X246)
| ~ v2_pre_topc(X246)
| ~ l1_pre_topc(X246) )
& ( ~ v1_funct_1(X249)
| ~ v1_funct_2(X249,u1_struct_0(X246),u1_struct_0(X247))
| ~ v5_pre_topc(X249,X246,X247)
| ~ m2_relset_1(X249,u1_struct_0(X246),u1_struct_0(X247))
| ~ v3_borsuk_1(X249,X246,X247)
| r1_borsuk_1(X246,X247)
| v3_struct_0(X247)
| ~ m1_pre_topc(X247,X246)
| v3_struct_0(X246)
| ~ v2_pre_topc(X246)
| ~ l1_pre_topc(X246) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
cnf(c_0_11,plain,
( m2_relset_1(esk23_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( v3_borsuk_1(esk23_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( v5_pre_topc(esk23_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
( v1_funct_2(esk23_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( v1_funct_1(esk23_2(X1,X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,plain,
( m1_pre_topc(X1,X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,plain,
( r1_borsuk_1(X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v5_pre_topc(X1,X2,X3)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_borsuk_1(X1,X2,X3)
| ~ m1_pre_topc(X3,X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
m2_relset_1(esk23_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(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(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]),c_0_17]) ).
cnf(c_0_25,negated_conjecture,
v3_borsuk_1(esk23_2(esk1_0,esk2_0),esk1_0,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(spm,[status(thm)],[c_0_18,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]),c_0_17]) ).
cnf(c_0_26,negated_conjecture,
v5_pre_topc(esk23_2(esk1_0,esk2_0),esk1_0,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(spm,[status(thm)],[c_0_19,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]),c_0_17]) ).
cnf(c_0_27,negated_conjecture,
v1_funct_2(esk23_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(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(spm,[status(thm)],[c_0_20,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]),c_0_17]) ).
cnf(c_0_28,negated_conjecture,
v1_funct_1(esk23_2(esk1_0,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(spm,[status(thm)],[c_0_21,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]),c_0_17]) ).
cnf(c_0_29,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_12]),c_0_14])]) ).
cnf(c_0_30,negated_conjecture,
~ r1_borsuk_1(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,negated_conjecture,
$false,
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(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_14]),c_0_15])]),c_0_30]),c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP034+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 09:59:19 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.40/1.75 % Version : CSE_E---1.7
% 1.40/1.75 % Problem : theBenchmark.p
% 1.40/1.75 % SZS status Theorem for theBenchmark.p
% 1.40/1.75 % SZS output start CNFRefutation
% See solution above
% 1.40/1.75 % Total time : 1.375s
%------------------------------------------------------------------------------