%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU250+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 : n009.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 02:56:21 PM UTC 2026
% Result : Theorem 0.88s 6.28s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 10 unt; 3 def)
% Number of atoms : 129 ( 3 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 109 ( 46 ~; 43 |; 13 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 56 !; 4 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f31,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,X1)
& in(X0,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f34,conjecture,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),X0)
& subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_wellord1) ).
fof(f35,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),X0)
& subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f53,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ( in(X0,X1)
& in(X0,relation_field(X2)) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ( in(X0,X1)
& in(X0,relation_field(X2)) ) ),
inference(flattening,[],[f59]) ).
fof(f62,plain,
? [X0,X1] :
( relation(X1)
& ( ~ subset(relation_field(relation_restriction(X1,X0)),X0)
| ~ subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f71,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,[],[f53]) ).
fof(f72,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,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f72]) ).
fof(f80,plain,
( relation(sK8)
& ( ~ subset(relation_field(relation_restriction(sK8,sK7)),sK7)
| ~ subset(relation_field(relation_restriction(sK8,sK7)),relation_field(sK8)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f62]) ).
fof(f89,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f90,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,relation_field(X2)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f114,plain,
relation(sK8),
inference(cnf_transformation,[],[f80]) ).
fof(f115,plain,
( ~ subset(relation_field(relation_restriction(sK8,sK7)),sK7)
| ~ subset(relation_field(relation_restriction(sK8,sK7)),relation_field(sK8)) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_field(X1))
| ~ relation(X1)
| ~ in(X0,relation_field(relation_restriction(X1,X2))) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X2)
| ~ relation(X1)
| ~ in(X0,relation_field(relation_restriction(X1,X2))) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_79,negated_conjecture,
( ~ subset(relation_field(relation_restriction(sK8,sK7)),sK7)
| ~ subset(relation_field(relation_restriction(sK8,sK7)),relation_field(sK8)) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_80,negated_conjecture,
relation(sK8),
inference(cnf_transformation,[],[f114]) ).
tcf(c_956,definition,
iPr_def_10 = relation_restriction(sK8,sK7),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_957,definition,
iPr_def_11 = relation_field(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_958,definition,
iPr_def_12 = relation_field(sK8),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_959,negated_conjecture,
relation(sK8),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_960,negated_conjecture,
( ~ subset(iPr_def_11,iPr_def_12)
| ~ subset(iPr_def_11,sK7) ),
inference(demodulation,[status(thm)],[c_79,c_958,c_956,c_957]) ).
tcf(c_1894,plain,
! [X0: $i] :
( in(X0,sK7)
| ~ relation(sK8)
| ~ in(X0,relation_field(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_956,c_76]) ).
tcf(c_1895,plain,
! [X0: $i] :
( in(X0,sK7)
| ~ relation(sK8)
| ~ in(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_1894,c_957]) ).
tcf(c_1896,plain,
! [X0: $i] :
( in(X0,sK7)
| ~ in(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1895,c_959]) ).
tcf(c_1916,plain,
! [X0: $i] :
( in(X0,relation_field(sK8))
| ~ relation(sK8)
| ~ in(X0,relation_field(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_956,c_75]) ).
tcf(c_1917,plain,
! [X0: $i] :
( in(X0,iPr_def_12)
| ~ relation(sK8)
| ~ in(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_1916,c_957,c_958]) ).
tcf(c_1918,plain,
! [X0: $i] :
( in(X0,iPr_def_12)
| ~ in(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1917,c_959]) ).
tcf(c_1942,plain,
! [X0: $i] :
( subset(iPr_def_11,X0)
| in(sK0(iPr_def_11,X0),sK7) ),
inference(superposition,[status(thm)],[c_54,c_1896]) ).
tcf(c_1961,plain,
! [X0: $i] :
( subset(iPr_def_11,X0)
| in(sK0(iPr_def_11,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_54,c_1918]) ).
tcf(c_1976,plain,
subset(iPr_def_11,sK7),
inference(superposition,[status(thm)],[c_1942,c_53]) ).
tcf(c_1984,plain,
~ subset(iPr_def_11,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_960,c_1976]) ).
tcf(c_1999,plain,
subset(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_1961,c_53]) ).
tcf(c_2000,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1999,c_1984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU250+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n009.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 13:24:19 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 0.88/6.28 % SZS status Started for theBenchmark.p
% 0.88/6.28 % SZS status Theorem for theBenchmark.p
% 0.88/6.28
% 0.88/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.88/6.28
% 0.88/6.28 % ------ iProver source info
% 0.88/6.28
% 0.88/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 0.88/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.88/6.28 % git: non_committed_changes: false
% 0.88/6.28
% 0.88/6.28 % ------ Parsing...
% 0.88/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.88/6.28
% 0.88/6.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 0.88/6.28
% 0.88/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.88/6.28
% 0.88/6.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.88/6.28 % ------ Proving...
% 0.88/6.28 % ------ Problem Properties
% 0.88/6.28
% 0.88/6.28 %
% 0.88/6.28 % clauses 40
% 0.88/6.28 % conjectures 2
% 0.88/6.28 % EPR 19
% 0.88/6.28 % Horn 38
% 0.88/6.28 % unary 19
% 0.88/6.28 % binary 14
% 0.88/6.28 % lits 68
% 0.88/6.28 % lits eq 13
% 0.88/6.28 % fd_pure 0
% 0.88/6.28 % fd_pseudo 0
% 0.88/6.28 % fd_cond 1
% 0.88/6.28 % fd_pseudo_cond 1
% 0.88/6.28 % AC symbols 0
% 0.88/6.28
% 0.88/6.28 % ------ Schedule dynamic 5 is on
% 0.88/6.28
% 0.88/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.88/6.28
% 0.88/6.28
% 0.88/6.28 % ------
% 0.88/6.28 % Current options:
% 0.88/6.28 % ------
% 0.88/6.28
% 0.88/6.28
% 0.88/6.28 %
% 0.88/6.28
% 0.88/6.28 % ------ Proving...
% 0.88/6.28 %
% 0.88/6.28
% 0.88/6.28 % SZS status Theorem for theBenchmark.p
% 0.88/6.28
% 0.88/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.88/6.28
% 0.88/6.28
%------------------------------------------------------------------------------