%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET479-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 02:47:18 PM UTC 2026
% Result : Unsatisfiable 4.16s 1.30s
% Output : CNFRefutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 14 unt; 1 def)
% Number of atoms : 50 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X1,X3)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
fof(f107,axiom,
subclass(domain_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-1.ax',definition_of_domain_relation1) ).
fof(f109,axiom,
! [X0] :
( member(ordered_pair(X0,domain_of(X0)),domain_relation)
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-1.ax',definition_of_domain_relation3) ).
fof(f122,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_replacement_property1_1) ).
fof(f123,negated_conjecture,
~ member(domain_of(x),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_replacement_property1_2) ).
fof(f128,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( member(X1,X3)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
inference(definition_unfolding,[],[f15,f128]) ).
fof(f180,plain,
! [X0] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(X0),domain_of(X0)))),domain_relation)
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f109,f128]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,X3)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_244,plain,
subclass(domain_relation,cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f107]) ).
tcf(c_246,plain,
! [X0: $i] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(X0),domain_of(X0)))),domain_relation)
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_256,negated_conjecture,
member(x,universal_class),
inference(cnf_transformation,[],[f122]) ).
tcf(c_257,negated_conjecture,
~ member(domain_of(x),universal_class),
inference(cnf_transformation,[],[f123]) ).
tcf(c_2980,definition,
iPr_def_10 = domain_of(x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2981,negated_conjecture,
~ member(iPr_def_10,universal_class),
inference(demodulation,[status(thm)],[c_257,c_2980]) ).
tcf(c_2982,negated_conjecture,
member(x,universal_class),
inference(demodulation,[status(thm)],[c_256]) ).
tcf(c_4843,plain,
( member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(iPr_def_10,iPr_def_10))),domain_relation)
| ~ member(x,universal_class) ),
inference(superposition,[status(thm)],[c_2980,c_246]) ).
tcf(c_4850,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(iPr_def_10,iPr_def_10))),domain_relation),
inference(forward_subsumption_resolution,[status(thm)],[c_4843,c_2982]) ).
tcf(c_4956,plain,
! [X0: $i] :
( member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(iPr_def_10,iPr_def_10))),X0)
| ~ subclass(domain_relation,X0) ),
inference(superposition,[status(thm)],[c_4850,c_163]) ).
tcf(c_4974,plain,
! [X0: $i,X1: $i] :
( member(iPr_def_10,X1)
| ~ subclass(domain_relation,cross_product(X0,X1)) ),
inference(superposition,[status(thm)],[c_4956,c_175]) ).
tcf(c_5013,plain,
( member(iPr_def_10,universal_class)
| ~ subclass(domain_relation,cross_product(universal_class,universal_class)) ),
inference(instantiation,[status(thm)],[c_4974]) ).
tcf(c_5014,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5013,c_2981,c_244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET479-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 10:59:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 4.16/1.30 % SZS status Started for theBenchmark.p
% 4.16/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.16/1.30
% 4.16/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.16/1.30
% 4.16/1.30 % ------ iProver source info
% 4.16/1.30
% 4.16/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.16/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.16/1.30 % git: non_committed_changes: false
% 4.16/1.30
% 4.16/1.30 % ------ Parsing...% successful
% 4.16/1.30
% 4.16/1.30
% 4.16/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.16/1.30
% 4.16/1.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 4.16/1.30
% 4.16/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.16/1.30
% 4.16/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.16/1.30 % ------ Proving...
% 4.16/1.30 % ------ Problem Properties
% 4.16/1.30
% 4.16/1.30 %
% 4.16/1.30 % clauses 84
% 4.16/1.30 % conjectures 2
% 4.16/1.30 % EPR 14
% 4.16/1.30 % Horn 76
% 4.16/1.30 % unary 23
% 4.16/1.30 % binary 40
% 4.16/1.30 % lits 172
% 4.16/1.30 % lits eq 26
% 4.16/1.30 % fd_pure 0
% 4.16/1.30 % fd_pseudo 0
% 4.16/1.30 % fd_cond 3
% 4.16/1.30 % fd_pseudo_cond 7
% 4.16/1.30 % AC symbols 0
% 4.16/1.30
% 4.16/1.30 % ------ Schedule dynamic 5 is on
% 4.16/1.30
% 4.16/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.16/1.30
% 4.16/1.30
% 4.16/1.30 % ------
% 4.16/1.30 % Current options:
% 4.16/1.30 % ------
% 4.16/1.30
% 4.16/1.30
% 4.16/1.30 %
% 4.16/1.30
% 4.16/1.30 % ------ Proving...
% 4.16/1.30 %
% 4.16/1.30
% 4.16/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.16/1.30
% 4.16/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/1.31
% 4.16/1.31
%------------------------------------------------------------------------------