%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU247+1 : 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 02:56:20 PM UTC 2026
% Result : Theorem 1.95s 1.27s
% Output : CNFRefutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 15 unt; 3 def)
% Number of atoms : 49 ( 23 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 6 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 28 !; 2 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1,X2] :
( relation(X2)
=> relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).
fof(f10,axiom,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
fof(f11,conjecture,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f20,plain,
? [X0,X1] :
( relation(X1)
& relation_restriction(X1,X0) != relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f21,plain,
( relation(sK1)
& relation_restriction(sK1,sK0) != relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f30,plain,
relation(sK1),
inference(cnf_transformation,[],[f21]) ).
fof(f31,plain,
relation_restriction(sK1,sK0) != relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0)),
inference(cnf_transformation,[],[f21]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_dom_restriction(relation_rng_restriction(X1,X0),X2) = relation_rng_restriction(X1,relation_dom_restriction(X0,X2)) )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ( relation_dom_restriction(relation_rng_restriction(X1,X0),X1) = relation_restriction(X0,X1) )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_57,negated_conjecture,
relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0)) != relation_restriction(sK1,sK0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_58,negated_conjecture,
relation(sK1),
inference(cnf_transformation,[],[f30]) ).
tcf(c_129,definition,
iPr_def_10 = relation_dom_restriction(sK1,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_130,definition,
iPr_def_11 = relation_rng_restriction(sK0,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_131,definition,
iPr_def_12 = relation_restriction(sK1,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_132,negated_conjecture,
relation(sK1),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_133,negated_conjecture,
iPr_def_11 != iPr_def_12,
inference(demodulation,[status(thm)],[c_57,c_131,c_129,c_130]) ).
tcf(c_341,plain,
! [X0: $i] : relation_dom_restriction(relation_rng_restriction(X0,sK1),X0) = relation_restriction(sK1,X0),
inference(superposition,[status(thm)],[c_132,c_56]) ).
tcf(c_419,plain,
! [X0: $i,X1: $i] : relation_dom_restriction(relation_rng_restriction(X0,sK1),X1) = relation_rng_restriction(X0,relation_dom_restriction(sK1,X1)),
inference(superposition,[status(thm)],[c_132,c_55]) ).
tcf(c_515,plain,
! [X0: $i] : relation_dom_restriction(relation_rng_restriction(X0,sK1),sK0) = relation_rng_restriction(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_129,c_419]) ).
tcf(c_523,plain,
relation_restriction(sK1,sK0) = relation_rng_restriction(sK0,iPr_def_10),
inference(superposition,[status(thm)],[c_515,c_341]) ).
tcf(c_524,plain,
iPr_def_11 = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_523,c_130,c_131]) ).
tcf(c_525,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_524,c_133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU247+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 13:23:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.95/1.27 % SZS status Started for theBenchmark.p
% 1.95/1.27 % SZS status Theorem for theBenchmark.p
% 1.95/1.27
% 1.95/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.95/1.27
% 1.95/1.27 % ------ iProver source info
% 1.95/1.27
% 1.95/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.95/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.95/1.27 % git: non_committed_changes: false
% 1.95/1.27
% 1.95/1.27 % ------ Parsing...
% 1.95/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.95/1.27
% 1.95/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.95/1.27
% 1.95/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.95/1.27
% 1.95/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.95/1.27 % ------ Proving...
% 1.95/1.27 % ------ Problem Properties
% 1.95/1.27
% 1.95/1.27 %
% 1.95/1.27 % clauses 13
% 1.95/1.27 % conjectures 2
% 1.95/1.27 % EPR 2
% 1.95/1.27 % Horn 13
% 1.95/1.27 % unary 7
% 1.95/1.27 % binary 6
% 1.95/1.27 % lits 19
% 1.95/1.27 % lits eq 9
% 1.95/1.27 % fd_pure 0
% 1.95/1.27 % fd_pseudo 0
% 1.95/1.27 % fd_cond 0
% 1.95/1.27 % fd_pseudo_cond 0
% 1.95/1.27 % AC symbols 0
% 1.95/1.27
% 1.95/1.27 % ------ Schedule dynamic 5 is on
% 1.95/1.27
% 1.95/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.95/1.27
% 1.95/1.27
% 1.95/1.27 % ------
% 1.95/1.27 % Current options:
% 1.95/1.27 % ------
% 1.95/1.27
% 1.95/1.27
% 1.95/1.27 %
% 1.95/1.27
% 1.95/1.27 % ------ Proving...
% 1.95/1.27 %
% 1.95/1.27
% 1.95/1.27 % SZS status Theorem for theBenchmark.p
% 1.95/1.27
% 1.95/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.95/1.27
% 1.95/1.27
%------------------------------------------------------------------------------