%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU196+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 : n001.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 02:55:51 PM UTC 2026
% Result : Theorem 4.36s 6.36s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 74 ( 37 ~; 25 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 30 !; 2 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f58,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f122,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f177,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom_restriction(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_relat_1) ).
fof(f184,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_relat_1) ).
fof(f185,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(negated_conjecture,[status(cth)],[f184]) ).
fof(f228,plain,
! [X0,X1] :
( ~ relation(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f280,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ~ subset(X0,X1)
| ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ),
inference(ennf_transformation,[],[f122]) ).
fof(f281,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ~ subset(X0,X1)
| ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ),
inference(flattening,[],[f280]) ).
fof(f330,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_dom_restriction(X1,X0),X1) ),
inference(ennf_transformation,[],[f177]) ).
fof(f338,plain,
? [X0,X1] :
( relation(X1)
& ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(ennf_transformation,[],[f185]) ).
fof(f453,plain,
( relation(sK58)
& ~ subset(relation_rng(relation_dom_restriction(sK58,sK57)),relation_rng(sK58)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57,sK58]),skolemize(X0,sK57),skolemize(X1,sK58)],[f338]) ).
fof(f587,plain,
! [X0,X1] :
( ~ relation(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f228]) ).
fof(f672,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ subset(X0,X1)
| subset(relation_rng(X0),relation_rng(X1)) ),
inference(cnf_transformation,[],[f281]) ).
fof(f753,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_dom_restriction(X1,X0),X1) ),
inference(cnf_transformation,[],[f330]) ).
fof(f760,plain,
relation(sK58),
inference(cnf_transformation,[],[f453]) ).
fof(f761,plain,
~ subset(relation_rng(relation_dom_restriction(sK58,sK57)),relation_rng(sK58)),
inference(cnf_transformation,[],[f453]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f587]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ relation(X1)
| ~ relation(X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f672]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] :
( subset(relation_dom_restriction(X0,X1),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f753]) ).
tcf(c_351,negated_conjecture,
~ subset(relation_rng(relation_dom_restriction(sK58,sK57)),relation_rng(sK58)),
inference(cnf_transformation,[],[f761]) ).
tcf(c_352,negated_conjecture,
relation(sK58),
inference(cnf_transformation,[],[f760]) ).
tcf(c_553,plain,
( ~ relation(sK58)
| ~ relation(relation_dom_restriction(sK58,sK57))
| ~ subset(relation_dom_restriction(sK58,sK57),sK58) ),
inference(superposition,[status(thm)],[c_266,c_351]) ).
tcf(c_900,plain,
( ~ subset(relation_dom_restriction(sK58,sK57),sK58)
| ~ relation(relation_dom_restriction(sK58,sK57)) ),
inference(global_subsumption_just,[status(thm)],[c_553,c_352,c_553]) ).
tcf(c_901,plain,
( ~ relation(relation_dom_restriction(sK58,sK57))
| ~ subset(relation_dom_restriction(sK58,sK57),sK58) ),
inference(renaming,[status(thm)],[c_900]) ).
tcf(c_906,plain,
( ~ relation(sK58)
| ~ relation(relation_dom_restriction(sK58,sK57)) ),
inference(superposition,[status(thm)],[c_344,c_901]) ).
tcf(c_919,plain,
( ~ relation(sK58)
| ~ relation(relation_dom_restriction(sK58,sK57))
| ~ subset(relation_dom_restriction(sK58,sK57),sK58) ),
inference(superposition,[status(thm)],[c_266,c_351]) ).
tcf(c_1478,plain,
~ relation(relation_dom_restriction(sK58,sK57)),
inference(global_subsumption_just,[status(thm)],[c_919,c_352,c_906]) ).
tcf(c_1480,plain,
~ relation(sK58),
inference(superposition,[status(thm)],[c_180,c_1478]) ).
tcf(c_1481,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_352,c_1480]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU196+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.39 % Computer : n001.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Thu Sep 24 13:13:57 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.45
% 0.16/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.45
% 0.16/5.45 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 4.36/6.36 % SZS status Started for theBenchmark.p
% 4.36/6.36 % SZS status Theorem for theBenchmark.p
% 4.36/6.36
% 4.36/6.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.36/6.36
% 4.36/6.36 % ------ iProver source info
% 4.36/6.36
% 4.36/6.36 % git: date: 2026-07-19 20:42:38 +0200
% 4.36/6.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.36/6.36 % git: non_committed_changes: false
% 4.36/6.36
% 4.36/6.36 % ------ Parsing...
% 4.36/6.36 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.36/6.36 % ------ Proving...
% 4.36/6.36 % ------ Problem Properties
% 4.36/6.36
% 4.36/6.36 %
% 4.36/6.36 % clauses 310
% 4.36/6.36 % conjectures 2
% 4.36/6.36 % EPR 37
% 4.36/6.36 % Horn 250
% 4.36/6.36 % unary 59
% 4.36/6.36 % binary 103
% 4.36/6.36 % lits 790
% 4.36/6.36 % lits eq 159
% 4.36/6.36 % fd_pure 0
% 4.36/6.36 % fd_pseudo 0
% 4.36/6.36 % fd_cond 13
% 4.36/6.36 % fd_pseudo_cond 60
% 4.36/6.36 % AC symbols 0
% 4.36/6.36
% 4.36/6.36 % ------ Input Options Time Limit: Unbounded
% 4.36/6.36
% 4.36/6.36
% 4.36/6.36 % ------
% 4.36/6.36 % Current options:
% 4.36/6.36 % ------
% 4.36/6.36
% 4.36/6.36
% 4.36/6.36 %
% 4.36/6.36
% 4.36/6.36 % ------ Proving...
% 4.36/6.36 %
% 4.36/6.36
% 4.36/6.36 % SZS status Theorem for theBenchmark.p
% 4.36/6.36
% 4.36/6.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.36/6.36
% 4.36/6.36
%------------------------------------------------------------------------------