%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP035+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 : Fri Sep 25 03:55:25 PM UTC 2026
% Result : Theorem 3.76s 1.30s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 113 ( 39 unt; 5 def)
% Number of atoms : 591 ( 81 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 761 ( 314 ~; 349 |; 67 &)
% ( 5 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 9 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 162 ( 0 sgn 154 !; 8 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f50,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_tsp_2) ).
fof(f54,axiom,
! [X0,X1] :
( ( m1_pre_topc(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
fof(f60,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f66,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f86,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v3_borsuk_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( X3 = X4
=> k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l33_tsp_2) ).
fof(f99,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(f102,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f127,plain,
? [X0] :
( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X2 = X3
& k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f128,plain,
? [X0] :
( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X2 = X3
& k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ),
inference(flattening,[],[f127]) ).
fof(f195,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f196,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
inference(flattening,[],[f195]) ).
fof(f199,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f200,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) ) ),
inference(flattening,[],[f199]) ).
fof(f205,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f208,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f222,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v3_borsuk_1(X2,X0,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| X3 != X4
| k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f223,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v3_borsuk_1(X2,X0,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| X3 != X4
| k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ) ) ) ) ),
inference(flattening,[],[f222]) ).
fof(f240,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f241,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(flattening,[],[f240]) ).
fof(f244,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
inference(ennf_transformation,[],[f102]) ).
fof(f259,plain,
( l1_pre_topc(sK2)
& v2_pre_topc(sK2)
& ~ v3_struct_0(sK2)
& m2_tsp_1(sK3,sK2)
& v2_tsp_2(sK3,sK2)
& ~ v3_struct_0(sK3)
& m1_subset_1(sK4,u1_struct_0(sK2))
& m1_subset_1(sK5,u1_struct_0(sK3))
& sK4 = sK5
& k5_pre_topc(sK2,sK3,k1_tsp_2(sK2,sK3),k6_pre_topc(sK3,k1_struct_0(sK3,sK5))) != k6_pre_topc(sK2,k1_struct_0(sK2,sK4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f128]) ).
fof(f262,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( k1_tsp_2(X0,X1) != X2
| v3_borsuk_1(X2,X0,X1) )
& ( ~ v3_borsuk_1(X2,X0,X1)
| X2 = k1_tsp_2(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f196]) ).
fof(f284,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) )
& ( ~ m1_pre_topc(X1,X0)
| m2_tsp_1(X1,X0) ) ) ),
inference(nnf_transformation,[],[f244]) ).
fof(f285,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f259]) ).
fof(f286,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f259]) ).
fof(f287,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f259]) ).
fof(f288,plain,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f259]) ).
fof(f289,plain,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f259]) ).
fof(f290,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f259]) ).
fof(f291,plain,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f259]) ).
fof(f292,plain,
m1_subset_1(sK5,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f259]) ).
fof(f293,plain,
sK4 = sK5,
inference(cnf_transformation,[],[f259]) ).
fof(f294,plain,
k5_pre_topc(sK2,sK3,k1_tsp_2(sK2,sK3),k6_pre_topc(sK3,k1_struct_0(sK3,sK5))) != k6_pre_topc(sK2,k1_struct_0(sK2,sK4)),
inference(cnf_transformation,[],[f259]) ).
fof(f410,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k1_tsp_2(X0,X1) != X2
| v3_borsuk_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f413,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f414,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v5_pre_topc(k1_tsp_2(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f415,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f416,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_1(k1_tsp_2(X0,X1)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f419,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f422,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f456,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v3_borsuk_1(X2,X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| X3 != X4
| k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f505,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f241]) ).
fof(f509,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f510,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| m2_tsp_1(X1,X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f520,plain,
k5_pre_topc(sK2,sK3,k1_tsp_2(sK2,sK3),k6_pre_topc(sK3,k1_struct_0(sK3,sK5))) != k6_pre_topc(sK2,k1_struct_0(sK2,sK5)),
inference(definition_unfolding,[],[f294,f293]) ).
fof(f521,plain,
m1_subset_1(sK5,u1_struct_0(sK2)),
inference(definition_unfolding,[],[f291,f293]) ).
fof(f522,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1) ),
inference(equality_resolution,[],[f410]) ).
fof(f523,plain,
! [X2,X0,X1,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v3_borsuk_1(X2,X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X4)) ),
inference(equality_resolution,[],[f456]) ).
tcf(c_49,negated_conjecture,
k5_pre_topc(sK2,sK3,k1_tsp_2(sK2,sK3),k6_pre_topc(sK3,k1_struct_0(sK3,sK5))) != k6_pre_topc(sK2,k1_struct_0(sK2,sK5)),
inference(cnf_transformation,[],[f520]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK5,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f292]) ).
tcf(c_51,negated_conjecture,
m1_subset_1(sK5,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f521]) ).
tcf(c_52,negated_conjecture,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f290]) ).
tcf(c_53,negated_conjecture,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f289]) ).
tcf(c_54,negated_conjecture,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f288]) ).
tcf(c_55,negated_conjecture,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f287]) ).
tcf(c_56,negated_conjecture,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f286]) ).
tcf(c_57,negated_conjecture,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f285]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f522]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(k1_tsp_2(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_2(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v5_pre_topc(k1_tsp_2(X1,X0),X1,X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f414]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f413]) ).
tcf(c_150,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k5_pre_topc(X1,X2,X0,k6_pre_topc(X2,k1_struct_0(X2,X3))) = k6_pre_topc(X1,k1_struct_0(X1,X3)) )
| ~ v1_funct_1(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v5_pre_topc(X0,X1,X2)
| ~ v3_borsuk_1(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f523]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_struct_0(X1,X0) = k1_tarski(X0) )
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i] :
( m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f510]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_257,plain,
( l1_struct_0(sK2)
| ~ l1_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_3710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_struct_0(X4)
| v3_struct_0(X3)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ( k5_pre_topc(X3,X4,X2,k6_pre_topc(X4,k1_struct_0(X4,X5))) = k6_pre_topc(X3,k1_struct_0(X3,X5)) )
| ~ v1_funct_1(X2)
| ~ l1_pre_topc(X3)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X3)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X4,X3)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X4,X3)
| ~ v2_tsp_2(X1,X0)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X3))
| ~ v5_pre_topc(X2,X3,X4)
| ~ m2_relset_1(X2,u1_struct_0(X3),u1_struct_0(X4))
| ~ v1_funct_2(X2,u1_struct_0(X3),u1_struct_0(X4))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ( X1 != X4 )
| ( X0 != X3 )
| ( k1_tsp_2(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_187,c_142]) ).
tcf(c_3711,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X2))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_3710]) ).
tcf(c_3754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ( k5_pre_topc(X2,X3,k1_tsp_2(X2,X3),k6_pre_topc(X3,k1_struct_0(X3,X4))) = k6_pre_topc(X2,k1_struct_0(X2,X4)) )
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X2)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X3,X2)
| ~ v2_tsp_2(X3,X2)
| ~ v2_tsp_2(X1,X0)
| ~ v1_funct_1(k1_tsp_2(X2,X3))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m2_relset_1(k1_tsp_2(X2,X3),u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(k1_tsp_2(X2,X3),u1_struct_0(X2),u1_struct_0(X3))
| ( X1 != X3 )
| ( X0 != X2 )
| ( k1_tsp_2(X0,X1) != k1_tsp_2(X2,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_146,c_3711]) ).
tcf(c_3755,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X2))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_3754]) ).
tcf(c_3783,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k5_pre_topc(X1,X2,k1_tsp_2(X1,X2),k6_pre_topc(X2,k1_struct_0(X2,X0))) = k6_pre_topc(X1,k1_struct_0(X1,X0)) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3755,c_240,c_144,c_147,c_145]) ).
tcf(c_3847,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_241]) ).
tcf(c_3848,plain,
( m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_3847]) ).
tcf(c_3854,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_153]) ).
tcf(c_3855,plain,
( l1_pre_topc(sK3)
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_3854]) ).
tcf(c_3856,plain,
l1_pre_topc(sK3),
inference(global_subsumption_just,[status(thm)],[c_3855,c_57,c_3855]) ).
tcf(c_4064,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X2))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_3783]) ).
tcf(c_4065,plain,
! [X0: $i] :
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| ( k5_pre_topc(sK2,sK3,k1_tsp_2(sK2,sK3),k6_pre_topc(sK3,k1_struct_0(sK3,X0))) = k6_pre_topc(sK2,k1_struct_0(sK2,X0)) )
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_pre_topc(sK3,sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_4064]) ).
tcf(c_4067,plain,
! [X0: $i] :
( ( k5_pre_topc(sK2,sK3,k1_tsp_2(sK2,sK3),k6_pre_topc(sK3,k1_struct_0(sK3,X0))) = k6_pre_topc(sK2,k1_struct_0(sK2,X0)) )
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_4065,c_57,c_56,c_55,c_52,c_3848,c_4065]) ).
tcf(c_4068,plain,
! [X0: $i] :
( ( k5_pre_topc(sK2,sK3,k1_tsp_2(sK2,sK3),k6_pre_topc(sK3,k1_struct_0(sK3,X0))) = k6_pre_topc(sK2,k1_struct_0(sK2,X0)) )
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(renaming,[status(thm)],[c_4067]) ).
tcf(c_4415,plain,
! [X0: $i,X1: $i] :
( ( k1_struct_0(X0,X1) = k1_tarski(X1) )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_236]) ).
tcf(c_4416,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ l1_struct_0(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_4415]) ).
tcf(c_4491,plain,
! [X0: $i,X1: $i] :
( ( k1_struct_0(X0,X1) = k1_tarski(X1) )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_236]) ).
tcf(c_4492,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ l1_struct_0(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_4491]) ).
tcf(c_4494,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_4492,c_57,c_257,c_4492]) ).
tcf(c_5454,definition,
iPr_def_21 = k1_struct_0(sK3,sK5),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_5455,definition,
iPr_def_22 = k6_pre_topc(sK3,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_5456,definition,
iPr_def_23 = k5_pre_topc(sK2,sK3,iPr_def_20,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_5457,definition,
iPr_def_24 = k1_struct_0(sK2,sK5),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_5458,definition,
iPr_def_25 = k6_pre_topc(sK2,iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_5467,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_4494]) ).
tcf(c_5476,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ l1_struct_0(sK3)
| ~ m1_subset_1(X0,iPr_def_15) ),
inference(demodulation,[status(thm)],[c_4416]) ).
tcf(c_5480,plain,
! [X0: $i] :
( ( k5_pre_topc(sK2,sK3,iPr_def_20,k6_pre_topc(sK3,k1_struct_0(sK3,X0))) = k6_pre_topc(sK2,k1_struct_0(sK2,X0)) )
| ~ m1_subset_1(X0,iPr_def_15)
| ~ m1_subset_1(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_4068]) ).
tcf(c_5483,plain,
l1_pre_topc(sK3),
inference(demodulation,[status(thm)],[c_3856]) ).
tcf(c_5486,negated_conjecture,
m1_subset_1(sK5,iPr_def_10),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_5487,negated_conjecture,
m1_subset_1(sK5,iPr_def_15),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_5488,negated_conjecture,
iPr_def_23 != iPr_def_25,
inference(demodulation,[status(thm)],[c_49,c_5457,c_5458,c_5454,c_5455,c_5456]) ).
tcf(c_6398,plain,
l1_struct_0(sK3),
inference(superposition,[status(thm)],[c_5483,c_150]) ).
tcf(c_6414,plain,
k1_struct_0(sK2,sK5) = k1_tarski(sK5),
inference(superposition,[status(thm)],[c_5486,c_5467]) ).
tcf(c_6415,plain,
k1_tarski(sK5) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_6414,c_5457]) ).
tcf(c_6427,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_15) ),
inference(global_subsumption_just,[status(thm)],[c_5476,c_5476,c_6398]) ).
tcf(c_6435,plain,
k1_struct_0(sK3,sK5) = k1_tarski(sK5),
inference(superposition,[status(thm)],[c_5487,c_6427]) ).
tcf(c_6436,plain,
iPr_def_21 = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_6435,c_5454,c_6415]) ).
tcf(c_6446,plain,
( ( k5_pre_topc(sK2,sK3,iPr_def_20,k6_pre_topc(sK3,k1_struct_0(sK3,sK5))) = k6_pre_topc(sK2,k1_struct_0(sK2,sK5)) )
| ~ m1_subset_1(sK5,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5487,c_5480]) ).
tcf(c_6447,plain,
( ( k6_pre_topc(sK2,iPr_def_21) = iPr_def_23 )
| ~ m1_subset_1(sK5,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_6446,c_5454,c_5455,c_5456,c_5457,c_6436]) ).
tcf(c_6448,plain,
k6_pre_topc(sK2,iPr_def_21) = iPr_def_23,
inference(forward_subsumption_resolution,[status(thm)],[c_6447,c_5486]) ).
tcf(c_6637,plain,
iPr_def_23 = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_5458,c_6436,c_6448]) ).
tcf(c_6638,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6637,c_5488]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP035+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n007.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 : Fri Sep 25 04:12:23 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 3.76/1.30 % SZS status Started for theBenchmark.p
% 3.76/1.30 % SZS status Theorem for theBenchmark.p
% 3.76/1.30
% 3.76/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.76/1.30
% 3.76/1.30 % ------ iProver source info
% 3.76/1.30
% 3.76/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.76/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.76/1.30 % git: non_committed_changes: false
% 3.76/1.30
% 3.76/1.30 % ------ Parsing...
% 3.76/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.76/1.30
% 3.76/1.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 96 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 18 0s sf_e pe_s pe_e %
% 3.76/1.30
% 3.76/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.76/1.30
% 3.76/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.76/1.30 % ------ Proving...
% 3.76/1.30 % ------ Problem Properties
% 3.76/1.30
% 3.76/1.30 %
% 3.76/1.30 % clauses 93
% 3.76/1.30 % conjectures 5
% 3.76/1.30 % EPR 35
% 3.76/1.30 % Horn 90
% 3.76/1.30 % unary 52
% 3.76/1.30 % binary 19
% 3.76/1.30 % lits 160
% 3.76/1.30 % lits eq 24
% 3.76/1.30 % fd_pure 0
% 3.76/1.30 % fd_pseudo 0
% 3.76/1.30 % fd_cond 1
% 3.76/1.30 % fd_pseudo_cond 1
% 3.76/1.30 % AC symbols 0
% 3.76/1.30
% 3.76/1.30 % ------ Schedule dynamic 5 is on
% 3.76/1.30
% 3.76/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.76/1.30
% 3.76/1.30
% 3.76/1.30 % ------
% 3.76/1.30 % Current options:
% 3.76/1.30 % ------
% 3.76/1.30
% 3.76/1.30
% 3.76/1.30 %
% 3.76/1.30
% 3.76/1.30 % ------ Proving...
% 3.76/1.30 %
% 3.76/1.30
% 3.76/1.30 % SZS status Theorem for theBenchmark.p
% 3.76/1.30
% 3.76/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.30
% 3.76/1.30
%------------------------------------------------------------------------------