%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 02:57:15 PM UTC 2026
% Result : Theorem 2.80s 1.39s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 14 unt; 0 def)
% Number of atoms : 172 ( 11 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 211 ( 89 ~; 82 |; 19 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 80 ( 0 sgn 77 !; 3 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( rel_str(X1)
=> ( subrelstr(X1,X0)
<=> ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_yellow_0) ).
fof(f7,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/sandbox2/benchmark/theBenchmark.p',d8_yellow_6) ).
fof(f15,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f18,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f19,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& one_sorted_str(X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f51,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> subset(the_carrier(X2),the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_yellow_6) ).
fof(f52,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> subset(the_carrier(X2),the_carrier(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f71,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ rel_str(X1)
| ( subrelstr(X1,X0)
<=> ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f72,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,[],[f7]) ).
fof(f76,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| rel_str(X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f77,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ subrelstr(X1,X0)
| rel_str(X1) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f78,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f79,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ! [X2] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ) ),
inference(flattening,[],[f78]) ).
fof(f96,plain,
? [X0] :
( one_sorted_str(X0)
& ? [X1] :
( net_str(X1,X0)
& ? [X2] :
( subnetstr(X2,X0,X1)
& ~ subset(the_carrier(X2),the_carrier(X1)) ) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f106,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ rel_str(X1)
| ( ( ~ subrelstr(X1,X0)
| ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) ) )
& ( ~ subset(the_InternalRel(X1),the_InternalRel(X0))
| ~ subset(the_carrier(X1),the_carrier(X0))
| subrelstr(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f107,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ rel_str(X1)
| ( ( ~ subrelstr(X1,X0)
| ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) ) )
& ( ~ subset(the_InternalRel(X1),the_InternalRel(X0))
| ~ subset(the_carrier(X1),the_carrier(X0))
| subrelstr(X1,X0) ) ) ) ),
inference(flattening,[],[f106]) ).
fof(f108,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,[],[f72]) ).
fof(f109,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,[],[f108]) ).
fof(f129,plain,
( one_sorted_str(sK18)
& net_str(sK19,sK18)
& subnetstr(sK20,sK18,sK19)
& ~ subset(the_carrier(sK20),the_carrier(sK19)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20)],[f96]) ).
fof(f138,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ rel_str(X1)
| ~ subrelstr(X1,X0)
| subset(the_carrier(X1),the_carrier(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f141,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,[],[f109]) ).
fof(f146,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f199,plain,
one_sorted_str(sK18),
inference(cnf_transformation,[],[f129]) ).
fof(f200,plain,
net_str(sK19,sK18),
inference(cnf_transformation,[],[f129]) ).
fof(f201,plain,
subnetstr(sK20,sK18,sK19),
inference(cnf_transformation,[],[f129]) ).
fof(f202,plain,
~ subset(the_carrier(sK20),the_carrier(sK19)),
inference(cnf_transformation,[],[f129]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( subset(the_carrier(X0),the_carrier(X1))
| ~ rel_str(X1)
| ~ rel_str(X0)
| ~ subrelstr(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_57,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,[],[f141]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( rel_str(X0)
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( rel_str(X0)
| ~ rel_str(X1)
| ~ subrelstr(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_64,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,[],[f148]) ).
tcf(c_115,negated_conjecture,
~ subset(the_carrier(sK20),the_carrier(sK19)),
inference(cnf_transformation,[],[f202]) ).
tcf(c_116,negated_conjecture,
subnetstr(sK20,sK18,sK19),
inference(cnf_transformation,[],[f201]) ).
tcf(c_117,negated_conjecture,
net_str(sK19,sK18),
inference(cnf_transformation,[],[f200]) ).
tcf(c_118,negated_conjecture,
one_sorted_str(sK18),
inference(cnf_transformation,[],[f199]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] :
( subset(the_carrier(X0),the_carrier(X1))
| ~ rel_str(X1)
| ~ subrelstr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_63,c_54]) ).
tcf(c_173,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_57,c_64,c_57]) ).
tcf(c_1132,plain,
! [X0: $i,X1: $i,X2: $i] :
( subrelstr(X0,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ( X2 != sK19 )
| ( X1 != sK18 )
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_173,c_116]) ).
tcf(c_1133,plain,
( subrelstr(sK20,sK19)
| ~ one_sorted_str(sK18)
| ~ net_str(sK19,sK18) ),
inference(unflattening,[status(thm)],[c_1132]) ).
tcf(c_1134,plain,
subrelstr(sK20,sK19),
inference(global_subsumption_just,[status(thm)],[c_1133,c_118,c_117,c_1133]) ).
tcf(c_1443,plain,
! [X0: $i,X1: $i] :
( subset(the_carrier(X0),the_carrier(X1))
| ~ rel_str(X1)
| ( X1 != sK19 )
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_171,c_1134]) ).
tcf(c_1444,plain,
( subset(the_carrier(sK20),the_carrier(sK19))
| ~ rel_str(sK19) ),
inference(unflattening,[status(thm)],[c_1443]) ).
tcf(c_1445,plain,
~ rel_str(sK19),
inference(global_subsumption_just,[status(thm)],[c_1444,c_115,c_1444]) ).
tcf(c_3210,plain,
~ rel_str(sK19),
inference(demodulation,[status(thm)],[c_1445]) ).
tcf(c_3213,negated_conjecture,
one_sorted_str(sK18),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_3214,negated_conjecture,
net_str(sK19,sK18),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_4233,plain,
( rel_str(sK19)
| ~ one_sorted_str(sK18) ),
inference(superposition,[status(thm)],[c_3214,c_62]) ).
tcf(c_4237,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4233,c_3210,c_3213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Thu Sep 24 13:53:04 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.48 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.50
% 0.24/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.50
% 0.24/0.50 % Detected problem language: tptp
% 0.24/0.51 % Proving...
% 2.80/1.39 % SZS status Started for theBenchmark.p
% 2.80/1.39 % SZS status Theorem for theBenchmark.p
% 2.80/1.39
% 2.80/1.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.80/1.39
% 2.80/1.39 % ------ iProver source info
% 2.80/1.39
% 2.80/1.39 % git: date: 2026-07-19 20:42:38 +0200
% 2.80/1.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.80/1.39 % git: non_committed_changes: false
% 2.80/1.39
% 2.80/1.39 % ------ Parsing...
% 2.80/1.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.80/1.39
% 2.80/1.39 % ------ Preprocessing... sup_sim: 0 sf_s rm: 29 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e %
% 2.80/1.39
% 2.80/1.39 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.80/1.39
% 2.80/1.39 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.80/1.39 % ------ Proving...
% 2.80/1.39 % ------ Problem Properties
% 2.80/1.39
% 2.80/1.39 %
% 2.80/1.39 % clauses 54
% 2.80/1.39 % conjectures 3
% 2.80/1.39 % EPR 23
% 2.80/1.39 % Horn 51
% 2.80/1.39 % unary 25
% 2.80/1.39 % binary 17
% 2.80/1.39 % lits 95
% 2.80/1.39 % lits eq 11
% 2.80/1.39 % fd_pure 0
% 2.80/1.39 % fd_pseudo 0
% 2.80/1.39 % fd_cond 1
% 2.80/1.39 % fd_pseudo_cond 1
% 2.80/1.39 % AC symbols 0
% 2.80/1.39
% 2.80/1.39 % ------ Schedule dynamic 5 is on
% 2.80/1.39
% 2.80/1.39 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.80/1.39
% 2.80/1.39
% 2.80/1.39 % ------
% 2.80/1.39 % Current options:
% 2.80/1.39 % ------
% 2.80/1.39
% 2.80/1.39
% 2.80/1.39 %
% 2.80/1.39
% 2.80/1.39 % ------ Proving...
% 2.80/1.39 %
% 2.80/1.39
% 2.80/1.39 % SZS status Theorem for theBenchmark.p
% 2.80/1.39
% 2.80/1.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.80/1.39
% 2.80/1.39
%------------------------------------------------------------------------------