%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET103-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 02:46:37 PM UTC 2026
% Result : Unsatisfiable 8.48s 1.90s
% Output : CNFRefutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 40 ( 25 unt; 6 def)
% Number of atoms : 95 ( 33 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 19 ~; 21 |; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f6,axiom,
! [X0,X1] :
( subclass(X1,X0)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f67,axiom,
! [X0] :
( member(regular(X0),X0)
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f101,negated_conjecture,
unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_1) ).
fof(f102,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_2) ).
fof(f107,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(f151,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),
inference(definition_unfolding,[],[f101,f12,f107]) ).
fof(f153,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f6]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_145,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_147,plain,
! [X0: $i] : subclass(X0,X0),
inference(cnf_transformation,[],[f153]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_194,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_217,negated_conjecture,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))) != unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)),
inference(cnf_transformation,[],[f151]) ).
tcf(c_218,negated_conjecture,
~ member(y,universal_class),
inference(cnf_transformation,[],[f102]) ).
tcf(c_2644,definition,
iPr_def_10 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2645,definition,
iPr_def_11 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2646,definition,
iPr_def_12 = unordered_pair(x,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2647,definition,
iPr_def_13 = unordered_pair(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2648,definition,
iPr_def_14 = unordered_pair(x,null_class),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2649,definition,
iPr_def_15 = unordered_pair(iPr_def_10,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2651,negated_conjecture,
iPr_def_13 != iPr_def_15,
inference(demodulation,[status(thm)],[c_217,c_2648,c_2649,c_2645,c_2646,c_2644,c_2647]) ).
tcf(c_4172,plain,
! [X0: $i] :
( ( X0 = y )
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2645,c_149]) ).
tcf(c_4338,plain,
( ( null_class = iPr_def_11 )
| ( regular(iPr_def_11) = y ) ),
inference(superposition,[status(thm)],[c_194,c_4172]) ).
tcf(c_4650,plain,
( member(y,iPr_def_11)
| ( null_class = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_4338,c_194]) ).
tcf(c_4660,plain,
! [X0: $i] :
( member(y,X0)
| ( null_class = iPr_def_11 )
| ~ subclass(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_4650,c_142]) ).
tcf(c_7623,plain,
! [X0: $i] :
( member(y,universal_class)
| ~ subclass(X0,universal_class)
| ~ member(y,X0) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_8115,plain,
! [X0: $i] :
( ~ subclass(iPr_def_11,X0)
| ( null_class = iPr_def_11 ) ),
inference(global_subsumption_just,[status(thm)],[c_4660,c_145,c_218,c_4660,c_7623]) ).
tcf(c_8116,plain,
! [X0: $i] :
( ( null_class = iPr_def_11 )
| ~ subclass(iPr_def_11,X0) ),
inference(renaming,[status(thm)],[c_8115]) ).
tcf(c_8124,plain,
null_class = iPr_def_11,
inference(superposition,[status(thm)],[c_147,c_8116]) ).
tcf(c_8199,plain,
unordered_pair(x,iPr_def_11) = iPr_def_14,
inference(demodulation,[status(thm)],[c_2648,c_8124]) ).
tcf(c_8201,plain,
iPr_def_12 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_8199,c_2646]) ).
tcf(c_8211,plain,
unordered_pair(iPr_def_10,iPr_def_12) = iPr_def_15,
inference(demodulation,[status(thm)],[c_2649,c_8201]) ).
tcf(c_8213,plain,
iPr_def_13 = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_8211,c_2647]) ).
tcf(c_8214,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8213,c_2651]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET103-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.52 % Computer : n007.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Thu Sep 24 09:47:39 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.52 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.56 Running first-order theorem proving
% 0.14/0.56 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
% 0.14/0.57
% 0.14/0.57 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.57
% 0.14/0.57 % Detected problem language: tptp
% 0.14/0.58 % Proving...
% 8.48/1.90 % SZS status Started for theBenchmark.p
% 8.48/1.90 % SZS status Unsatisfiable for theBenchmark.p
% 8.48/1.90
% 8.48/1.90 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.48/1.90
% 8.48/1.90 % ------ iProver source info
% 8.48/1.90
% 8.48/1.90 % git: date: 2026-07-19 20:42:38 +0200
% 8.48/1.90 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.48/1.90 % git: non_committed_changes: false
% 8.48/1.90
% 8.48/1.90 % ------ Parsing...% successful
% 8.48/1.90
% 8.48/1.90
% 8.48/1.90 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.48/1.90
% 8.48/1.90 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 8.48/1.90
% 8.48/1.90 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.48/1.90
% 8.48/1.90 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.48/1.90 % ------ Proving...
% 8.48/1.90 % ------ Problem Properties
% 8.48/1.90
% 8.48/1.90 %
% 8.48/1.90 % clauses 75
% 8.48/1.90 % conjectures 2
% 8.48/1.90 % EPR 14
% 8.48/1.90 % Horn 67
% 8.48/1.90 % unary 23
% 8.48/1.90 % binary 32
% 8.48/1.90 % lits 153
% 8.48/1.90 % lits eq 27
% 8.48/1.90 % fd_pure 0
% 8.48/1.90 % fd_pseudo 0
% 8.48/1.90 % fd_cond 3
% 8.48/1.90 % fd_pseudo_cond 3
% 8.48/1.90 % AC symbols 0
% 8.48/1.90
% 8.48/1.90 % ------ Schedule dynamic 5 is on
% 8.48/1.90
% 8.48/1.90 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.48/1.90
% 8.48/1.90
% 8.48/1.90 % ------
% 8.48/1.90 % Current options:
% 8.48/1.90 % ------
% 8.48/1.90
% 8.48/1.90
% 8.48/1.90 %
% 8.48/1.90
% 8.48/1.90 % ------ Proving...
% 8.48/1.90 %
% 8.48/1.90
% 8.48/1.90 % SZS status Unsatisfiable for theBenchmark.p
% 8.48/1.90
% 8.48/1.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.48/1.90
% 8.48/1.90
%------------------------------------------------------------------------------