%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU020+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 02:55:05 PM UTC 2026
% Result : Theorem 3.55s 11.53s
% Output : CNFRefutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 31 unt; 3 def)
% Number of atoms : 164 ( 23 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 170 ( 70 ~; 63 |; 27 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 28 !; 6 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
=> subset(relation_rng(X1),relation_dom(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_funct_1) ).
fof(f32,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0)) )
=> one_to_one(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_funct_1) ).
fof(f34,axiom,
! [X0] : one_to_one(identity_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_funct_1) ).
fof(f35,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ? [X1] :
( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& function(X1)
& relation(X1) )
=> one_to_one(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_funct_1) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ? [X1] :
( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& function(X1)
& relation(X1) )
=> one_to_one(X0) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f39,axiom,
! [X0] :
( relation_rng(identity_relation(X0)) = X0
& relation_dom(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_relat_1) ).
fof(f64,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ~ function(X1)
| ~ relation(X1)
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| subset(relation_rng(X1),relation_dom(X0)) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f65,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ~ function(X1)
| ~ relation(X1)
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| subset(relation_rng(X1),relation_dom(X0)) ) ),
inference(flattening,[],[f64]) ).
fof(f68,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ one_to_one(relation_composition(X1,X0))
| one_to_one(X1) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f69,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ one_to_one(relation_composition(X1,X0))
| one_to_one(X1) ) ),
inference(flattening,[],[f68]) ).
fof(f72,plain,
? [X0] :
( function(X0)
& relation(X0)
& ? [X1] :
( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& function(X1)
& relation(X1) )
& ~ one_to_one(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f73,plain,
? [X0] :
( function(X0)
& relation(X0)
& ? [X1] :
( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& function(X1)
& relation(X1) )
& ~ one_to_one(X0) ),
inference(flattening,[],[f72]) ).
fof(f88,plain,
( function(sK9)
& relation(sK9)
& relation_composition(sK9,sK10) = identity_relation(relation_dom(sK9))
& function(sK10)
& relation(sK10)
& ~ one_to_one(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f73]) ).
fof(f130,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ function(X1)
| ~ relation(X1)
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| subset(relation_rng(X1),relation_dom(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f134,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ one_to_one(relation_composition(X1,X0))
| one_to_one(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f136,plain,
! [X0] : one_to_one(identity_relation(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f137,plain,
function(sK9),
inference(cnf_transformation,[],[f88]) ).
fof(f138,plain,
relation(sK9),
inference(cnf_transformation,[],[f88]) ).
fof(f139,plain,
relation_composition(sK9,sK10) = identity_relation(relation_dom(sK9)),
inference(cnf_transformation,[],[f88]) ).
fof(f140,plain,
function(sK10),
inference(cnf_transformation,[],[f88]) ).
fof(f141,plain,
relation(sK10),
inference(cnf_transformation,[],[f88]) ).
fof(f142,plain,
~ one_to_one(sK9),
inference(cnf_transformation,[],[f88]) ).
fof(f146,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f39]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ( relation_dom(relation_composition(X0,X1)) != relation_dom(X0) ) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( one_to_one(X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ~ one_to_one(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1)) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_96,plain,
! [X0: $i] : one_to_one(identity_relation(X0)),
inference(cnf_transformation,[],[f136]) ).
tcf(c_97,negated_conjecture,
~ one_to_one(sK9),
inference(cnf_transformation,[],[f142]) ).
tcf(c_98,negated_conjecture,
relation(sK10),
inference(cnf_transformation,[],[f141]) ).
tcf(c_99,negated_conjecture,
function(sK10),
inference(cnf_transformation,[],[f140]) ).
tcf(c_100,negated_conjecture,
relation_composition(sK9,sK10) = identity_relation(relation_dom(sK9)),
inference(cnf_transformation,[],[f139]) ).
tcf(c_101,negated_conjecture,
relation(sK9),
inference(cnf_transformation,[],[f138]) ).
tcf(c_102,negated_conjecture,
function(sK9),
inference(cnf_transformation,[],[f137]) ).
tcf(c_105,plain,
! [X0: $i] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f146]) ).
tcf(c_1869,definition,
iPr_def_10 = relation_composition(sK9,sK10),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1870,definition,
iPr_def_11 = relation_dom(sK9),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1871,definition,
iPr_def_12 = identity_relation(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1872,negated_conjecture,
function(sK9),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_1873,negated_conjecture,
relation(sK9),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_1874,negated_conjecture,
iPr_def_10 = iPr_def_12,
inference(demodulation,[status(thm)],[c_100,c_1870,c_1871,c_1869]) ).
tcf(c_1875,negated_conjecture,
function(sK10),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_1876,negated_conjecture,
relation(sK10),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_1877,negated_conjecture,
~ one_to_one(sK9),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_2786,plain,
identity_relation(iPr_def_11) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1871,c_1874]) ).
tcf(c_2787,plain,
one_to_one(iPr_def_10),
inference(superposition,[status(thm)],[c_2786,c_96]) ).
tcf(c_2813,plain,
relation_dom(iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_2786,c_105]) ).
tcf(c_3605,plain,
( subset(relation_rng(sK9),relation_dom(sK10))
| ~ relation(sK10)
| ~ relation(sK9)
| ~ function(sK10)
| ~ function(sK9)
| ( relation_dom(sK9) != relation_dom(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_1869,c_90]) ).
tcf(c_3606,plain,
( subset(relation_rng(sK9),relation_dom(sK10))
| ~ relation(sK10)
| ~ relation(sK9)
| ~ function(sK10)
| ~ function(sK9) ),
inference(ground_joinability,[status(thm)],[c_3605,c_1870,c_2813]) ).
tcf(c_3607,plain,
subset(relation_rng(sK9),relation_dom(sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_3606,c_1876,c_1873,c_1875,c_1872]) ).
tcf(c_3608,plain,
( one_to_one(sK9)
| ~ relation(sK10)
| ~ relation(sK9)
| ~ function(sK10)
| ~ function(sK9)
| ~ one_to_one(relation_composition(sK9,sK10)) ),
inference(superposition,[status(thm)],[c_3607,c_94]) ).
tcf(c_3609,plain,
( one_to_one(sK9)
| ~ one_to_one(iPr_def_10)
| ~ relation(sK10)
| ~ relation(sK9)
| ~ function(sK10)
| ~ function(sK9) ),
inference(light_normalisation,[status(thm)],[c_3608,c_1869]) ).
tcf(c_3610,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3609,c_1877,c_2787,c_1876,c_1873,c_1875,c_1872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU020+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/10.59 % Computer : n003.cluster.edu
% 0.10/10.59 % Model : x86_64 x86_64
% 0.10/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.59 % Memory : 8046.5625MB
% 0.10/10.59 % OS : Linux 6.8.0-71-generic
% 0.10/10.59 % CPULimit : 300
% 0.10/10.59 % WCLimit : 300
% 0.10/10.59 % DateTime : Thu Sep 24 12:37:32 UTC 2026
% 0.14/10.60 % CPUTime :
% 0.14/10.60 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.64 Running first-order theorem proving
% 0.14/10.64 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
% 0.14/10.65
% 0.14/10.65 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.65
% 0.14/10.65 % Detected problem language: tptp
% 0.14/10.66 % Proving...
% 3.55/11.53 % SZS status Started for theBenchmark.p
% 3.55/11.53 % SZS status Theorem for theBenchmark.p
% 3.55/11.53
% 3.55/11.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.55/11.53
% 3.55/11.53 % ------ iProver source info
% 3.55/11.53
% 3.55/11.53 % git: date: 2026-07-19 20:42:38 +0200
% 3.55/11.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.55/11.53 % git: non_committed_changes: false
% 3.55/11.53
% 3.55/11.53 % ------ Parsing...
% 3.55/11.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.55/11.53
% 3.55/11.53 % ------ Preprocessing... sup_sim: 0 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 %
% 3.55/11.53
% 3.55/11.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.55/11.53
% 3.55/11.53 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.55/11.53 % ------ Proving...
% 3.55/11.53 % ------ Problem Properties
% 3.55/11.53
% 3.55/11.53 %
% 3.55/11.53 % clauses 58
% 3.55/11.53 % conjectures 6
% 3.55/11.53 % EPR 28
% 3.55/11.53 % Horn 56
% 3.55/11.53 % unary 30
% 3.55/11.53 % binary 14
% 3.55/11.53 % lits 109
% 3.55/11.53 % lits eq 9
% 3.55/11.53 % fd_pure 0
% 3.55/11.53 % fd_pseudo 0
% 3.55/11.53 % fd_cond 1
% 3.55/11.53 % fd_pseudo_cond 1
% 3.55/11.53 % AC symbols 0
% 3.55/11.53
% 3.55/11.53 % ------ Schedule dynamic 5 is on
% 3.55/11.53
% 3.55/11.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.55/11.53
% 3.55/11.53
% 3.55/11.53 % ------
% 3.55/11.53 % Current options:
% 3.55/11.53 % ------
% 3.55/11.53
% 3.55/11.53
% 3.55/11.53 %
% 3.55/11.53
% 3.55/11.53 % ------ Proving...
% 3.55/11.53 %
% 3.55/11.53
% 3.55/11.53 % SZS status Theorem for theBenchmark.p
% 3.55/11.53
% 3.55/11.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.55/11.53
% 3.55/11.53
%------------------------------------------------------------------------------