%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU374+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 02:57:16 PM UTC 2026
% Result : Theorem 8.27s 1.62s
% Output : CNFRefutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 24 unt; 0 def)
% Number of atoms : 238 ( 27 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 296 ( 114 ~; 107 |; 43 &)
% ( 2 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 111 ( 0 sgn 97 !; 14 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f179,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( net_str(X2,X0)
=> ( subnetstr(X2,X0,X1)
<=> ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_yellow_6) ).
fof(f269,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f276,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& one_sorted_str(X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f605,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( related(X2,X5,X6)
& X4 = X6
& X3 = X5 )
=> related(X1,X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_yellow_6) ).
fof(f606,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( related(X2,X5,X6)
& X4 = X6
& X3 = X5 )
=> related(X1,X3,X4) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f605]) ).
fof(f724,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( related(X1,X4,X5)
& X5 = X3
& X4 = X2 )
=> related(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).
fof(f1062,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ net_str(X2,X0)
| ( subnetstr(X2,X0,X1)
<=> ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f179]) ).
fof(f1149,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| rel_str(X1) ) ),
inference(ennf_transformation,[],[f269]) ).
fof(f1155,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ) ),
inference(ennf_transformation,[],[f276]) ).
fof(f1156,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ) ),
inference(flattening,[],[f1155]) ).
fof(f1528,plain,
? [X0] :
( one_sorted_str(X0)
& ? [X1] :
( net_str(X1,X0)
& ? [X2] :
( subnetstr(X2,X0,X1)
& ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( element(X5,the_carrier(X2))
& ? [X6] :
( element(X6,the_carrier(X2))
& related(X2,X5,X6)
& X4 = X6
& X3 = X5
& ~ related(X1,X3,X4) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f606]) ).
fof(f1529,plain,
? [X0] :
( one_sorted_str(X0)
& ? [X1] :
( net_str(X1,X0)
& ? [X2] :
( subnetstr(X2,X0,X1)
& ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( element(X5,the_carrier(X2))
& ? [X6] :
( element(X6,the_carrier(X2))
& related(X2,X5,X6)
& X4 = X6
& X3 = X5
& ~ related(X1,X3,X4) ) ) ) ) ) ) ),
inference(flattening,[],[f1528]) ).
fof(f1689,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ subrelstr(X1,X0)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ! [X3] :
( ~ element(X3,the_carrier(X0))
| ! [X4] :
( ~ element(X4,the_carrier(X1))
| ! [X5] :
( ~ element(X5,the_carrier(X1))
| ~ related(X1,X4,X5)
| X3 != X5
| X2 != X4
| related(X0,X2,X3) ) ) ) ) ) ),
inference(ennf_transformation,[],[f724]) ).
fof(f1690,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ subrelstr(X1,X0)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ! [X3] :
( ~ element(X3,the_carrier(X0))
| ! [X4] :
( ~ element(X4,the_carrier(X1))
| ! [X5] :
( ~ element(X5,the_carrier(X1))
| ~ related(X1,X4,X5)
| X3 != X5
| X2 != X4
| related(X0,X2,X3) ) ) ) ) ) ),
inference(flattening,[],[f1689]) ).
fof(f2112,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ net_str(X2,X0)
| ( ( ~ subnetstr(X2,X0,X1)
| ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) ) )
& ( the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
| ~ subrelstr(X2,X1)
| subnetstr(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f1062]) ).
fof(f2113,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ! [X2] :
( ~ net_str(X2,X0)
| ( ( ~ subnetstr(X2,X0,X1)
| ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) ) )
& ( the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
| ~ subrelstr(X2,X1)
| subnetstr(X2,X0,X1) ) ) ) ) ),
inference(flattening,[],[f2112]) ).
fof(f2519,plain,
( one_sorted_str(sK543)
& net_str(sK544,sK543)
& subnetstr(sK545,sK543,sK544)
& element(sK546,the_carrier(sK544))
& element(sK547,the_carrier(sK544))
& element(sK548,the_carrier(sK545))
& element(sK549,the_carrier(sK545))
& related(sK545,sK548,sK549)
& sK547 = sK549
& sK546 = sK548
& ~ related(sK544,sK546,sK547) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK543,sK544,sK545,sK546,sK547,sK548,sK549]),skolemize(X0,sK543),skolemize(X1,sK544),skolemize(X2,sK545),skolemize(X3,sK546),skolemize(X4,sK547),skolemize(X5,sK548),skolemize(X6,sK549)],[f1529]) ).
fof(f3237,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ net_str(X2,X0)
| ~ subnetstr(X2,X0,X1)
| subrelstr(X2,X1) ),
inference(cnf_transformation,[],[f2113]) ).
fof(f3334,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f1149]) ).
fof(f3340,plain,
! [X2,X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ),
inference(cnf_transformation,[],[f1156]) ).
fof(f4617,plain,
one_sorted_str(sK543),
inference(cnf_transformation,[],[f2519]) ).
fof(f4618,plain,
net_str(sK544,sK543),
inference(cnf_transformation,[],[f2519]) ).
fof(f4619,plain,
subnetstr(sK545,sK543,sK544),
inference(cnf_transformation,[],[f2519]) ).
fof(f4620,plain,
element(sK546,the_carrier(sK544)),
inference(cnf_transformation,[],[f2519]) ).
fof(f4621,plain,
element(sK547,the_carrier(sK544)),
inference(cnf_transformation,[],[f2519]) ).
fof(f4622,plain,
element(sK548,the_carrier(sK545)),
inference(cnf_transformation,[],[f2519]) ).
fof(f4623,plain,
element(sK549,the_carrier(sK545)),
inference(cnf_transformation,[],[f2519]) ).
fof(f4624,plain,
related(sK545,sK548,sK549),
inference(cnf_transformation,[],[f2519]) ).
fof(f4625,plain,
sK547 = sK549,
inference(cnf_transformation,[],[f2519]) ).
fof(f4626,plain,
sK546 = sK548,
inference(cnf_transformation,[],[f2519]) ).
fof(f4627,plain,
~ related(sK544,sK546,sK547),
inference(cnf_transformation,[],[f2519]) ).
fof(f4849,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ related(X1,X4,X5)
| X3 != X5
| X2 != X4
| related(X0,X2,X3) ),
inference(cnf_transformation,[],[f1690]) ).
fof(f5587,plain,
~ related(sK544,sK548,sK549),
inference(definition_unfolding,[],[f4627,f4626,f4625]) ).
fof(f5588,plain,
element(sK549,the_carrier(sK544)),
inference(definition_unfolding,[],[f4621,f4625]) ).
fof(f5589,plain,
element(sK548,the_carrier(sK544)),
inference(definition_unfolding,[],[f4620,f4626]) ).
fof(f5963,plain,
! [X3,X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| ~ element(X4,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ related(X1,X4,X5)
| X3 != X5
| related(X0,X4,X3) ),
inference(equality_resolution,[],[f4849]) ).
fof(f5964,plain,
! [X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| ~ element(X4,the_carrier(X0))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ related(X1,X4,X5)
| related(X0,X4,X5) ),
inference(equality_resolution,[],[f5963]) ).
tcf(c_650,plain,
! [X0: $i,X1: $i,X2: $i] :
( subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ net_str(X0,X1)
| ~ subnetstr(X0,X1,X2) ),
inference(cnf_transformation,[],[f3237]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i] :
( rel_str(X0)
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1) ),
inference(cnf_transformation,[],[f3334]) ).
tcf(c_753,plain,
! [X0: $i,X1: $i,X2: $i] :
( net_str(X0,X1)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X0,X1,X2) ),
inference(cnf_transformation,[],[f3340]) ).
tcf(c_2026,negated_conjecture,
~ related(sK544,sK548,sK549),
inference(cnf_transformation,[],[f5587]) ).
tcf(c_2027,negated_conjecture,
related(sK545,sK548,sK549),
inference(cnf_transformation,[],[f4624]) ).
tcf(c_2028,negated_conjecture,
element(sK549,the_carrier(sK545)),
inference(cnf_transformation,[],[f4623]) ).
tcf(c_2029,negated_conjecture,
element(sK548,the_carrier(sK545)),
inference(cnf_transformation,[],[f4622]) ).
tcf(c_2030,negated_conjecture,
element(sK549,the_carrier(sK544)),
inference(cnf_transformation,[],[f5588]) ).
tcf(c_2031,negated_conjecture,
element(sK548,the_carrier(sK544)),
inference(cnf_transformation,[],[f5589]) ).
tcf(c_2032,negated_conjecture,
subnetstr(sK545,sK543,sK544),
inference(cnf_transformation,[],[f4619]) ).
tcf(c_2033,negated_conjecture,
net_str(sK544,sK543),
inference(cnf_transformation,[],[f4618]) ).
tcf(c_2034,negated_conjecture,
one_sorted_str(sK543),
inference(cnf_transformation,[],[f4617]) ).
tcf(c_2252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( related(X3,X1,X2)
| ~ rel_str(X3)
| ~ subrelstr(X0,X3)
| ~ element(X2,the_carrier(X3))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X3))
| ~ element(X1,the_carrier(X0))
| ~ related(X0,X1,X2) ),
inference(cnf_transformation,[],[f5964]) ).
tcf(c_2549,plain,
( rel_str(sK544)
| ~ one_sorted_str(sK543) ),
inference(superposition,[status(thm)],[c_2033,c_747]) ).
tcf(c_2592,plain,
! [X0: $i,X1: $i,X2: $i] :
( subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_650,c_753,c_650]) ).
tcf(c_2603,plain,
( subrelstr(sK545,sK544)
| ~ one_sorted_str(sK543)
| ~ net_str(sK544,sK543) ),
inference(superposition,[status(thm)],[c_2032,c_2592]) ).
tcf(c_3821,plain,
! [X0: $i,X1: $i] :
( related(X1,sK548,X0)
| ~ rel_str(X1)
| ~ subrelstr(sK545,X1)
| ~ related(sK545,sK548,X0)
| ~ element(sK548,the_carrier(X1))
| ~ element(X0,the_carrier(sK545))
| ~ element(X0,the_carrier(X1)) ),
inference(superposition,[status(thm)],[c_2029,c_2252]) ).
tcf(c_4655,plain,
( related(sK544,sK548,sK549)
| ~ rel_str(sK544)
| ~ subrelstr(sK545,sK544)
| ~ related(sK545,sK548,sK549)
| ~ element(sK549,the_carrier(sK545))
| ~ element(sK548,the_carrier(sK544)) ),
inference(superposition,[status(thm)],[c_2030,c_3821]) ).
tcf(c_4657,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4655,c_2603,c_2549,c_2026,c_2027,c_2028,c_2031,c_2033,c_2034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU374+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.34 % Computer : n016.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Thu Sep 24 13:58:27 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 8.27/1.62 % SZS status Started for theBenchmark.p
% 8.27/1.62 % SZS status Theorem for theBenchmark.p
% 8.27/1.62
% 8.27/1.62 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.27/1.62
% 8.27/1.62 % ------ iProver source info
% 8.27/1.62
% 8.27/1.62 % git: date: 2026-07-19 20:42:38 +0200
% 8.27/1.62 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.27/1.62 % git: non_committed_changes: false
% 8.27/1.62
% 8.27/1.62 % ------ Parsing...
% 8.27/1.62 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.27/1.62 % ------ Proving...
% 8.27/1.62 % ------ Problem Properties
% 8.27/1.62
% 8.27/1.62 %
% 8.27/1.62 % clauses 2274
% 8.27/1.62 % conjectures 9
% 8.27/1.62 % EPR 425
% 8.27/1.62 % Horn 1612
% 8.27/1.62 % unary 416
% 8.27/1.62 % binary 552
% 8.27/1.62 % lits 7352
% 8.27/1.62 % lits eq 723
% 8.27/1.62 % fd_pure 0
% 8.27/1.62 % fd_pseudo 0
% 8.27/1.62 % fd_cond 53
% 8.27/1.62 % fd_pseudo_cond 155
% 8.27/1.62 % AC symbols 0
% 8.27/1.62
% 8.27/1.62 % ------ Input Options Time Limit: Unbounded
% 8.27/1.62
% 8.27/1.62
% 8.27/1.62 % ------
% 8.27/1.62 % Current options:
% 8.27/1.62 % ------
% 8.27/1.62
% 8.27/1.62
% 8.27/1.62 %
% 8.27/1.62
% 8.27/1.62 % ------ Proving...
% 8.27/1.62 %
% 8.27/1.62
% 8.27/1.62 % ------ Proving...
% 8.27/1.62 %
% 8.27/1.62
% 8.27/1.62 % SZS status Theorem for theBenchmark.p
% 8.27/1.62
% 8.27/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.27/1.62
% 8.27/1.62
%------------------------------------------------------------------------------