%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET071-7 : 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 : 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 02:46:23 PM UTC 2026
% Result : Unsatisfiable 5.46s 2.26s
% Output : CNFRefutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 18 unt; 0 def)
% Number of atoms : 97 ( 53 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 107 ( 54 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 33 :)
% 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(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
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(f105,axiom,
! [X0] : subclass(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_is_reflexive) ).
fof(f125,negated_conjecture,
unordered_pair(x,y) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_unordered_pair_1) ).
fof(f126,plain,
null_class != unordered_pair(x,y),
inference(reorient_equations,[],[f125]) ).
fof(f127,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_unordered_pair_2) ).
fof(f128,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_unordered_pair_3) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_167,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_216,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_243,plain,
! [X0: $i] : subclass(X0,X0),
inference(cnf_transformation,[],[f105]) ).
tcf(c_260,negated_conjecture,
unordered_pair(x,y) != null_class,
inference(cnf_transformation,[],[f126]) ).
tcf(c_261,negated_conjecture,
~ member(x,universal_class),
inference(cnf_transformation,[],[f127]) ).
tcf(c_262,negated_conjecture,
~ member(y,universal_class),
inference(cnf_transformation,[],[f128]) ).
tcf(c_264,plain,
subclass(universal_class,universal_class),
inference(instantiation,[status(thm)],[c_243]) ).
tcf(c_295,plain,
( ( universal_class = universal_class )
| ~ subclass(universal_class,universal_class) ),
inference(instantiation,[status(thm)],[c_170]) ).
tcf(c_2343,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_2345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3261,plain,
! [X0: $i,X1: $i] :
( member(x,universal_class)
| ~ member(X1,X0)
| ( x != X1 )
| ( universal_class != X0 ) ),
inference(instantiation,[status(thm)],[c_2347]) ).
tcf(c_3274,plain,
! [X0: $i,X1: $i] :
( member(y,universal_class)
| ~ member(X1,X0)
| ( y != X1 )
| ( universal_class != X0 ) ),
inference(instantiation,[status(thm)],[c_2347]) ).
tcf(c_3583,plain,
! [X0: $i,X1: $i] :
( ( x = X0 )
| ( x != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_3597,plain,
! [X0: $i,X1: $i] :
( ( y = X0 )
| ( y != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_3657,plain,
! [X0: $i] :
( ( x = X0 )
| ( x != x )
| ( X0 != x ) ),
inference(instantiation,[status(thm)],[c_3583]) ).
tcf(c_3667,plain,
! [X0: $i] :
( ( y = X0 )
| ( y != y )
| ( X0 != y ) ),
inference(instantiation,[status(thm)],[c_3597]) ).
tcf(c_5644,plain,
member(regular(unordered_pair(x,y)),unordered_pair(x,y)),
inference(resolution,[status(thm)],[c_216,c_260]) ).
tcf(c_6012,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[c_164,c_167]) ).
tcf(c_6218,plain,
member(regular(unordered_pair(x,y)),universal_class),
inference(resolution,[status(thm)],[c_6012,c_5644]) ).
tcf(c_6631,plain,
x = x,
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_6677,plain,
y = y,
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_9197,plain,
( ( regular(unordered_pair(x,y)) = y )
| ( regular(unordered_pair(x,y)) = x ) ),
inference(resolution,[status(thm)],[c_171,c_5644]) ).
tcf(c_13039,plain,
! [X0: $i] :
( member(y,universal_class)
| ~ member(regular(unordered_pair(x,y)),X0)
| ( y != regular(unordered_pair(x,y)) )
| ( universal_class != X0 ) ),
inference(instantiation,[status(thm)],[c_3274]) ).
tcf(c_13040,plain,
! [X0: $i] :
( member(x,universal_class)
| ~ member(regular(unordered_pair(x,y)),X0)
| ( x != regular(unordered_pair(x,y)) )
| ( universal_class != X0 ) ),
inference(instantiation,[status(thm)],[c_3261]) ).
tcf(c_13041,plain,
( member(x,universal_class)
| ~ member(regular(unordered_pair(x,y)),universal_class)
| ( x != regular(unordered_pair(x,y)) )
| ( universal_class != universal_class ) ),
inference(instantiation,[status(thm)],[c_13040]) ).
tcf(c_13042,plain,
( member(y,universal_class)
| ~ member(regular(unordered_pair(x,y)),universal_class)
| ( y != regular(unordered_pair(x,y)) )
| ( universal_class != universal_class ) ),
inference(instantiation,[status(thm)],[c_13039]) ).
tcf(c_13355,plain,
( ( x = regular(unordered_pair(x,y)) )
| ( x != x )
| ( regular(unordered_pair(x,y)) != x ) ),
inference(instantiation,[status(thm)],[c_3657]) ).
tcf(c_13635,plain,
( ( y = regular(unordered_pair(x,y)) )
| ( y != y )
| ( regular(unordered_pair(x,y)) != y ) ),
inference(instantiation,[status(thm)],[c_3667]) ).
tcf(c_13636,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13635,c_13355,c_13042,c_13041,c_9197,c_6677,c_6631,c_6218,c_295,c_261,c_262,c_264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET071-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 09:30:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 5.46/2.26 % SZS status Started for theBenchmark.p
% 5.46/2.26 % SZS status Unsatisfiable for theBenchmark.p
% 5.46/2.26
% 5.46/2.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.46/2.26
% 5.46/2.26 % ------ iProver source info
% 5.46/2.26
% 5.46/2.26 % git: date: 2026-07-19 20:42:38 +0200
% 5.46/2.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.46/2.26 % git: non_committed_changes: false
% 5.46/2.26
% 5.46/2.26 % ------ Parsing...% successful
% 5.46/2.26
% 5.46/2.26
% 5.46/2.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.46/2.26
% 5.46/2.26 % ------ 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 %
% 5.46/2.26
% 5.46/2.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.46/2.26
% 5.46/2.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.46/2.26 % ------ Proving...
% 5.46/2.26 % ------ Problem Properties
% 5.46/2.26
% 5.46/2.26 %
% 5.46/2.26 % clauses 89
% 5.46/2.26 % conjectures 3
% 5.46/2.26 % EPR 19
% 5.46/2.26 % Horn 76
% 5.46/2.26 % unary 25
% 5.46/2.26 % binary 40
% 5.46/2.26 % lits 183
% 5.46/2.26 % lits eq 29
% 5.46/2.26 % fd_pure 0
% 5.46/2.26 % fd_pseudo 0
% 5.46/2.26 % fd_cond 5
% 5.46/2.26 % fd_pseudo_cond 6
% 5.46/2.26 % AC symbols 0
% 5.46/2.26
% 5.46/2.26 % ------ Input Options Time Limit: Unbounded
% 5.46/2.26
% 5.46/2.26
% 5.46/2.26 % ------
% 5.46/2.26 % Current options:
% 5.46/2.26 % ------
% 5.46/2.26
% 5.46/2.26
% 5.46/2.26 %
% 5.46/2.26
% 5.46/2.26 % ------ Proving...
% 5.46/2.26 %
% 5.46/2.26
% 5.46/2.26 % SZS status Unsatisfiable for theBenchmark.p
% 5.46/2.26
% 5.46/2.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.46/2.26
% 5.46/2.26
%------------------------------------------------------------------------------