%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET511-6 : 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 : 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 02:47:21 PM UTC 2026
% Result : Unsatisfiable 6.52s 1.74s
% Output : CNFRefutation 6.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 65 ( 25 unt; 6 def)
% Number of atoms : 156 ( 53 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 39 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?; 39 :)
% 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(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
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(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f67,axiom,
! [X0] :
( member(regular(X0),X0)
| X0 = null_class ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( intersection(X0,regular(X0)) = null_class
| X0 = null_class ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_property_1_of_ordered_pair_1) ).
fof(f127,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(f185,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(universal_class,universal_class))),
inference(definition_unfolding,[],[f122,f12,f127]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_165,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_214,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_215,plain,
! [X0: $i] :
( ( X0 = null_class )
| ( intersection(X0,regular(X0)) = null_class ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_255,negated_conjecture,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(universal_class,universal_class))) != unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)),
inference(cnf_transformation,[],[f185]) ).
tcf(c_2974,definition,
iPr_def_10 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2975,definition,
iPr_def_11 = unordered_pair(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2976,definition,
iPr_def_12 = unordered_pair(x,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2977,definition,
iPr_def_13 = unordered_pair(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2978,definition,
iPr_def_14 = unordered_pair(x,null_class),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2979,definition,
iPr_def_15 = unordered_pair(iPr_def_10,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2980,negated_conjecture,
iPr_def_13 != iPr_def_15,
inference(demodulation,[status(thm)],[c_255,c_2978,c_2979,c_2975,c_2976,c_2974,c_2977]) ).
tcf(c_3977,plain,
! [X0: $i,X1: $i] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_163,c_183]) ).
tcf(c_3978,plain,
! [X0: $i] :
( ( complement(X0) = null_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_214,c_183]) ).
tcf(c_3983,plain,
( ( complement(universal_class) = null_class )
| ~ member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_3978]) ).
tcf(c_4055,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_162]) ).
tcf(c_4172,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_163,c_4055]) ).
tcf(c_4178,plain,
! [X0: $i] :
( member(regular(X0),universal_class)
| ( X0 = null_class ) ),
inference(superposition,[status(thm)],[c_214,c_4055]) ).
tcf(c_4424,plain,
! [X0: $i] :
( ( X0 = universal_class )
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2975,c_169]) ).
tcf(c_4519,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| ( not_subclass_element(iPr_def_11,X0) = universal_class ) ),
inference(superposition,[status(thm)],[c_163,c_4424]) ).
tcf(c_4520,plain,
( ( null_class = iPr_def_11 )
| ( regular(iPr_def_11) = universal_class ) ),
inference(superposition,[status(thm)],[c_214,c_4424]) ).
tcf(c_4603,plain,
( member(universal_class,universal_class)
| ( null_class = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_4520,c_4178]) ).
tcf(c_4604,plain,
( member(universal_class,iPr_def_11)
| ( null_class = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_4520,c_214]) ).
tcf(c_4605,plain,
( ( null_class = iPr_def_11 )
| ( intersection(iPr_def_11,universal_class) = null_class ) ),
inference(superposition,[status(thm)],[c_4520,c_215]) ).
tcf(c_4885,plain,
! [X0: $i] :
( member(X0,null_class)
| ( null_class = iPr_def_11 )
| ~ member(X0,iPr_def_11)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_4605,c_182]) ).
tcf(c_4900,plain,
( member(universal_class,null_class)
| ( null_class = iPr_def_11 )
| ~ member(universal_class,iPr_def_11)
| ~ member(universal_class,universal_class) ),
inference(instantiation,[status(thm)],[c_4885]) ).
tcf(c_4926,plain,
! [X0: $i] : subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4172,c_3977]) ).
tcf(c_4950,plain,
! [X0: $i] :
( ( complement(universal_class) = X0 )
| ~ subclass(X0,complement(universal_class)) ),
inference(superposition,[status(thm)],[c_4926,c_168]) ).
tcf(c_4951,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(X0,complement(universal_class)) ),
inference(superposition,[status(thm)],[c_4926,c_162]) ).
tcf(c_4970,plain,
! [X0: $i] :
( member(regular(complement(universal_class)),X0)
| ( complement(universal_class) = null_class ) ),
inference(superposition,[status(thm)],[c_214,c_4951]) ).
tcf(c_4973,plain,
( member(regular(complement(universal_class)),universal_class)
| ( complement(universal_class) = null_class ) ),
inference(instantiation,[status(thm)],[c_4970]) ).
tcf(c_4986,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_4970,c_3983,c_4973]) ).
tcf(c_4988,plain,
! [X0: $i] :
( ( X0 = null_class )
| ~ subclass(X0,null_class) ),
inference(demodulation,[status(thm)],[c_4950,c_4986]) ).
tcf(c_4989,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(X0,null_class) ),
inference(demodulation,[status(thm)],[c_4951,c_4986]) ).
tcf(c_5000,plain,
! [X0: $i] :
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_4986,c_183]) ).
tcf(c_5141,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_4989,c_4055,c_4989,c_5000]) ).
tcf(c_5143,plain,
~ member(universal_class,null_class),
inference(instantiation,[status(thm)],[c_5141]) ).
tcf(c_5152,plain,
( ( null_class = iPr_def_11 )
| ( not_subclass_element(iPr_def_11,null_class) = universal_class ) ),
inference(superposition,[status(thm)],[c_4519,c_4988]) ).
tcf(c_5171,plain,
null_class = iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_5152,c_4604,c_4603,c_4900,c_5143]) ).
tcf(c_5199,plain,
unordered_pair(x,iPr_def_11) = iPr_def_14,
inference(demodulation,[status(thm)],[c_2978,c_5171]) ).
tcf(c_5201,plain,
iPr_def_12 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_5199,c_2976]) ).
tcf(c_5246,plain,
unordered_pair(iPr_def_10,iPr_def_12) = iPr_def_15,
inference(demodulation,[status(thm)],[c_2979,c_5201]) ).
tcf(c_5248,plain,
iPr_def_13 = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_5246,c_2977]) ).
tcf(c_5249,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5248,c_2980]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET511-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.35 % Computer : n003.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Thu Sep 24 11:10:50 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 6.52/1.74 % SZS status Started for theBenchmark.p
% 6.52/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 6.52/1.74
% 6.52/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.52/1.74
% 6.52/1.74 % ------ iProver source info
% 6.52/1.74
% 6.52/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 6.52/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.52/1.74 % git: non_committed_changes: false
% 6.52/1.74
% 6.52/1.74 % ------ Parsing...% successful
% 6.52/1.74
% 6.52/1.74
% 6.52/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.52/1.74
% 6.52/1.74 % ------ 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 %
% 6.52/1.74
% 6.52/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.52/1.74
% 6.52/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.52/1.74 % ------ Proving...
% 6.52/1.74 % ------ Problem Properties
% 6.52/1.74
% 6.52/1.74 %
% 6.52/1.74 % clauses 88
% 6.52/1.74 % conjectures 1
% 6.52/1.74 % EPR 13
% 6.52/1.74 % Horn 80
% 6.52/1.74 % unary 27
% 6.52/1.74 % binary 40
% 6.52/1.74 % lits 176
% 6.52/1.74 % lits eq 32
% 6.52/1.74 % fd_pure 0
% 6.52/1.74 % fd_pseudo 0
% 6.52/1.74 % fd_cond 3
% 6.52/1.74 % fd_pseudo_cond 7
% 6.52/1.74 % AC symbols 0
% 6.52/1.74
% 6.52/1.74 % ------ Schedule dynamic 5 is on
% 6.52/1.74
% 6.52/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.52/1.74
% 6.52/1.74
% 6.52/1.74 % ------
% 6.52/1.74 % Current options:
% 6.52/1.74 % ------
% 6.52/1.74
% 6.52/1.74
% 6.52/1.74 %
% 6.52/1.74
% 6.52/1.74 % ------ Proving...
% 6.52/1.74 %
% 6.52/1.74
% 6.52/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 6.52/1.74
% 6.52/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.52/1.74
% 6.52/1.74
%------------------------------------------------------------------------------