%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU198+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 : n006.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 10.44s 17.30s
% Output : CNFRefutation 10.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 86 ( 33 ~; 31 |; 14 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 45 !; 4 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f112,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,relation_rng(X2))
& in(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f113,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_relat_1) ).
fof(f114,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
inference(negated_conjecture,[status(cth)],[f113]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,relation_rng(X2))
& in(X0,X1) ) ) ),
inference(ennf_transformation,[],[f112]) ).
fof(f214,plain,
? [X0,X1] :
( relation(X1)
& ~ subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
inference(ennf_transformation,[],[f114]) ).
fof(f281,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f357,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ( ( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ( in(X0,relation_rng(X2))
& in(X0,X1) ) )
& ( ~ in(X0,relation_rng(X2))
| ~ in(X0,X1)
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) ) ),
inference(nnf_transformation,[],[f213]) ).
fof(f358,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ( ( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ( in(X0,relation_rng(X2))
& in(X0,X1) ) )
& ( ~ in(X0,relation_rng(X2))
| ~ in(X0,X1)
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) ) ),
inference(flattening,[],[f357]) ).
fof(f359,plain,
( relation(sK2)
& ~ subset(relation_rng(relation_rng_restriction(sK1,sK2)),sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f214]) ).
fof(f386,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f281]) ).
fof(f387,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f386]) ).
fof(f388,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK11(X0,X1),X0)
& ~ in(sK11(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f387]) ).
fof(f488,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| in(X0,X1) ),
inference(cnf_transformation,[],[f358]) ).
fof(f490,plain,
relation(sK2),
inference(cnf_transformation,[],[f359]) ).
fof(f491,plain,
~ subset(relation_rng(relation_rng_restriction(sK1,sK2)),sK1),
inference(cnf_transformation,[],[f359]) ).
fof(f598,plain,
! [X0,X1] :
( in(sK11(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f388]) ).
fof(f599,plain,
! [X0,X1] :
( ~ in(sK11(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X1)
| ~ relation(X2)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) ),
inference(cnf_transformation,[],[f488]) ).
tcf(c_75,negated_conjecture,
~ subset(relation_rng(relation_rng_restriction(sK1,sK2)),sK1),
inference(cnf_transformation,[],[f491]) ).
tcf(c_76,negated_conjecture,
relation(sK2),
inference(cnf_transformation,[],[f490]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f599]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK11(X0,X1),X0) ),
inference(cnf_transformation,[],[f598]) ).
tcf(c_14417,plain,
( subset(relation_rng(relation_rng_restriction(sK1,sK2)),sK1)
| ~ in(sK11(relation_rng(relation_rng_restriction(sK1,sK2)),sK1),sK1) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_14433,plain,
( subset(relation_rng(relation_rng_restriction(sK1,sK2)),sK1)
| in(sK11(relation_rng(relation_rng_restriction(sK1,sK2)),sK1),relation_rng(relation_rng_restriction(sK1,sK2))) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_19330,plain,
( in(sK11(relation_rng(relation_rng_restriction(sK1,sK2)),sK1),sK1)
| ~ relation(sK2)
| ~ in(sK11(relation_rng(relation_rng_restriction(sK1,sK2)),sK1),relation_rng(relation_rng_restriction(sK1,sK2))) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_19331,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19330,c_14433,c_14417,c_75,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU198+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/15.38 % Computer : n006.cluster.edu
% 0.10/15.38 % Model : x86_64 x86_64
% 0.10/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38 % Memory : 8046.5625MB
% 0.10/15.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.38 % CPULimit : 300
% 0.10/15.38 % WCLimit : 300
% 0.10/15.38 % DateTime : Thu Sep 24 13:08:41 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/15.43 Running first-order theorem proving
% 0.15/15.43 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
% 0.15/15.44
% 0.15/15.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/15.44
% 0.15/15.44 % Detected problem language: tptp
% 0.15/15.45 % Proving...
% 10.44/17.30 % SZS status Started for theBenchmark.p
% 10.44/17.30 % SZS status Theorem for theBenchmark.p
% 10.44/17.30
% 10.44/17.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.44/17.30
% 10.44/17.30 % ------ iProver source info
% 10.44/17.30
% 10.44/17.30 % git: date: 2026-07-19 20:42:38 +0200
% 10.44/17.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.44/17.30 % git: non_committed_changes: false
% 10.44/17.30
% 10.44/17.30 % ------ Parsing...
% 10.44/17.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.44/17.30
% 10.44/17.30 % ------ Preprocessing... sup_sim: 36 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 10.44/17.30
% 10.44/17.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.44/17.30
% 10.44/17.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.44/17.30 % ------ Proving...
% 10.44/17.30 % ------ Problem Properties
% 10.44/17.30
% 10.44/17.30 %
% 10.44/17.30 % clauses 278
% 10.44/17.30 % conjectures 2
% 10.44/17.30 % EPR 34
% 10.44/17.30 % Horn 225
% 10.44/17.30 % unary 45
% 10.44/17.30 % binary 96
% 10.44/17.30 % lits 721
% 10.44/17.30 % lits eq 143
% 10.44/17.30 % fd_pure 0
% 10.44/17.30 % fd_pseudo 0
% 10.44/17.30 % fd_cond 10
% 10.44/17.30 % fd_pseudo_cond 59
% 10.44/17.30 % AC symbols 0
% 10.44/17.30
% 10.44/17.30 % ------ Schedule dynamic 5 is on
% 10.44/17.30
% 10.44/17.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.44/17.30
% 10.44/17.30
% 10.44/17.30 % ------
% 10.44/17.30 % Current options:
% 10.44/17.30 % ------
% 10.44/17.30
% 10.44/17.30
% 10.44/17.30 %
% 10.44/17.30
% 10.44/17.30 % ------ Proving...
% 10.44/17.30 %
% 10.44/17.30
% 10.44/17.30 % SZS status Theorem for theBenchmark.p
% 10.44/17.30
% 10.44/17.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.44/17.30
% 10.44/17.30
%------------------------------------------------------------------------------