%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU264+2 : 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 : n010.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 02:56:25 PM UTC 2026
% Result : Theorem 3.59s 1.30s
% Output : CNFRefutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 65 ( 27 ~; 21 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 65 ( 0 sgn 57 !; 8 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f199,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f210,axiom,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f214,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f215,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f214]) ).
fof(f226,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f498,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X2,X0,X1)
| ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
inference(ennf_transformation,[],[f199]) ).
fof(f513,plain,
! [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X0)
| ~ subset(relation_rng(X3),X1)
| relation_of2_as_subset(X3,X2,X1) ),
inference(ennf_transformation,[],[f210]) ).
fof(f514,plain,
! [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X0)
| ~ subset(relation_rng(X3),X1)
| relation_of2_as_subset(X3,X2,X1) ),
inference(flattening,[],[f513]) ).
fof(f518,plain,
? [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
& subset(X0,X1)
& ~ relation_of2_as_subset(X3,X2,X1) ),
inference(ennf_transformation,[],[f215]) ).
fof(f519,plain,
? [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
& subset(X0,X1)
& ~ relation_of2_as_subset(X3,X2,X1) ),
inference(flattening,[],[f518]) ).
fof(f532,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(ennf_transformation,[],[f226]) ).
fof(f533,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(flattening,[],[f532]) ).
fof(f867,plain,
( relation_of2_as_subset(sK114,sK113,sK111)
& subset(sK111,sK112)
& ~ relation_of2_as_subset(sK114,sK113,sK112) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK111,sK112,sK113,sK114]),skolemize(X0,sK111),skolemize(X1,sK112),skolemize(X2,sK113),skolemize(X3,sK114)],[f519]) ).
fof(f1384,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| subset(relation_rng(X2),X1) ),
inference(cnf_transformation,[],[f498]) ).
fof(f1401,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X2,X0)
| ~ subset(relation_rng(X3),X1)
| relation_of2_as_subset(X3,X2,X1) ),
inference(cnf_transformation,[],[f514]) ).
fof(f1408,plain,
relation_of2_as_subset(sK114,sK113,sK111),
inference(cnf_transformation,[],[f867]) ).
fof(f1409,plain,
subset(sK111,sK112),
inference(cnf_transformation,[],[f867]) ).
fof(f1410,plain,
~ relation_of2_as_subset(sK114,sK113,sK112),
inference(cnf_transformation,[],[f867]) ).
fof(f1424,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f533]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(relation_rng(X0),X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f1384]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( relation_of2_as_subset(X0,X1,X3)
| ~ subset(relation_rng(X0),X3)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f1401]) ).
tcf(c_533,negated_conjecture,
~ relation_of2_as_subset(sK114,sK113,sK112),
inference(cnf_transformation,[],[f1410]) ).
tcf(c_534,negated_conjecture,
subset(sK111,sK112),
inference(cnf_transformation,[],[f1409]) ).
tcf(c_535,negated_conjecture,
relation_of2_as_subset(sK114,sK113,sK111),
inference(cnf_transformation,[],[f1408]) ).
tcf(c_549,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X2,X1)
| ~ subset(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f1424]) ).
tcf(c_810,plain,
subset(relation_rng(sK114),sK111),
inference(superposition,[status(thm)],[c_535,c_510]) ).
tcf(c_839,plain,
! [X0: $i] :
( subset(X0,sK112)
| ~ subset(X0,sK111) ),
inference(superposition,[status(thm)],[c_534,c_549]) ).
tcf(c_887,plain,
! [X0: $i] :
( relation_of2_as_subset(sK114,sK113,X0)
| ~ subset(relation_rng(sK114),X0) ),
inference(superposition,[status(thm)],[c_535,c_526]) ).
tcf(c_944,plain,
subset(relation_rng(sK114),sK112),
inference(superposition,[status(thm)],[c_810,c_839]) ).
tcf(c_1210,plain,
relation_of2_as_subset(sK114,sK113,sK112),
inference(superposition,[status(thm)],[c_944,c_887]) ).
tcf(c_1211,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_533,c_1210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU264+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 13:27:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 3.59/1.30 % SZS status Started for theBenchmark.p
% 3.59/1.30 % SZS status Theorem for theBenchmark.p
% 3.59/1.30
% 3.59/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.59/1.30
% 3.59/1.30 % ------ iProver source info
% 3.59/1.30
% 3.59/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.59/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.59/1.30 % git: non_committed_changes: false
% 3.59/1.30
% 3.59/1.30 % ------ Parsing...
% 3.59/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.59/1.30 % ------ Proving...
% 3.59/1.30 % ------ Problem Properties
% 3.59/1.30
% 3.59/1.30 %
% 3.59/1.30 % clauses 675
% 3.59/1.30 % conjectures 3
% 3.59/1.30 % EPR 122
% 3.59/1.30 % Horn 541
% 3.59/1.30 % unary 107
% 3.59/1.30 % binary 166
% 3.59/1.30 % lits 2006
% 3.59/1.30 % lits eq 290
% 3.59/1.30 % fd_pure 0
% 3.59/1.30 % fd_pseudo 0
% 3.59/1.30 % fd_cond 21
% 3.59/1.30 % fd_pseudo_cond 101
% 3.59/1.30 % AC symbols 0
% 3.59/1.30
% 3.59/1.30 % ------ Input Options Time Limit: Unbounded
% 3.59/1.30
% 3.59/1.30
% 3.59/1.30 % ------
% 3.59/1.30 % Current options:
% 3.59/1.30 % ------
% 3.59/1.30
% 3.59/1.30
% 3.59/1.30 %
% 3.59/1.30
% 3.59/1.30 % ------ Proving...
% 3.59/1.30 %
% 3.59/1.30
% 3.59/1.30 % SZS status Theorem for theBenchmark.p
% 3.59/1.30
% 3.59/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.59/1.30
% 3.59/1.30
%------------------------------------------------------------------------------