%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET090-7 : 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 : 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 02:46:32 PM UTC 2026
% Result : Unsatisfiable 3.53s 1.56s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 30 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f140,axiom,
! [X0,X1] :
( X0 = X1
| ~ member(X1,universal_class)
| singleton(X0) != singleton(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_identified_by_element2) ).
fof(f144,axiom,
! [X0] :
( singleton(member_of(singleton(X0))) = singleton(X0)
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_exists2) ).
fof(f145,plain,
! [X0] :
( singleton(X0) = singleton(member_of(singleton(X0)))
| ~ member(X0,universal_class) ),
inference(reorient_equations,[],[f144]) ).
fof(f148,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_1) ).
fof(f149,negated_conjecture,
member_of(singleton(u)) != u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_2) ).
fof(f150,plain,
u != member_of(singleton(u)),
inference(reorient_equations,[],[f149]) ).
fof(f152,plain,
u != member_of(unordered_pair(u,u)),
inference(definition_unfolding,[],[f150,f12]) ).
fof(f154,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X1,universal_class)
| unordered_pair(X0,X0) != unordered_pair(X1,X1) ),
inference(definition_unfolding,[],[f140,f12,f12]) ).
fof(f168,plain,
! [X0] :
( unordered_pair(X0,X0) = unordered_pair(member_of(unordered_pair(X0,X0)),member_of(unordered_pair(X0,X0)))
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f145,f12,f12,f12]) ).
tcf(c_184,negated_conjecture,
member(u,universal_class),
inference(cnf_transformation,[],[f148]) ).
tcf(c_185,negated_conjecture,
member_of(unordered_pair(u,u)) != u,
inference(cnf_transformation,[],[f152]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(X1,universal_class)
| ( unordered_pair(X0,X0) != unordered_pair(X1,X1) ) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_202,plain,
! [X0: $i] :
( ( unordered_pair(member_of(unordered_pair(X0,X0)),member_of(unordered_pair(X0,X0))) = unordered_pair(X0,X0) )
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_2294,plain,
( ( member_of(unordered_pair(u,u)) = u )
| ~ member(u,universal_class)
| ( unordered_pair(member_of(unordered_pair(u,u)),member_of(unordered_pair(u,u))) != unordered_pair(u,u) ) ),
inference(instantiation,[status(thm)],[c_187]) ).
tcf(c_2324,plain,
( ( unordered_pair(member_of(unordered_pair(u,u)),member_of(unordered_pair(u,u))) = unordered_pair(u,u) )
| ~ member(u,universal_class) ),
inference(instantiation,[status(thm)],[c_202]) ).
tcf(c_2325,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2324,c_2294,c_185,c_184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET090-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.20/0.46 % Computer : n007.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Thu Sep 24 09:41:24 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 0.24/0.55
% 0.24/0.55 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.55
% 0.24/0.55 % Detected problem language: tptp
% 0.24/0.57 % Proving...
% 3.53/1.56 % SZS status Started for theBenchmark.p
% 3.53/1.56 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.56
% 3.53/1.56 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.53/1.56
% 3.53/1.56 % ------ iProver source info
% 3.53/1.56
% 3.53/1.56 % git: date: 2026-07-19 20:42:38 +0200
% 3.53/1.56 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.53/1.56 % git: non_committed_changes: false
% 3.53/1.56
% 3.53/1.56 % ------ Parsing...% successful
% 3.53/1.56
% 3.53/1.56
% 3.53/1.56 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.53/1.56
% 3.53/1.56 % ------ 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 %
% 3.53/1.56
% 3.53/1.56 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.53/1.56
% 3.53/1.56 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.53/1.56 % ------ Proving...
% 3.53/1.56 % ------ Problem Properties
% 3.53/1.56
% 3.53/1.56 %
% 3.53/1.56 % clauses 45
% 3.53/1.56 % conjectures 2
% 3.53/1.56 % EPR 10
% 3.53/1.56 % Horn 37
% 3.53/1.56 % unary 13
% 3.53/1.56 % binary 20
% 3.53/1.56 % lits 90
% 3.53/1.56 % lits eq 29
% 3.53/1.56 % fd_pure 0
% 3.53/1.56 % fd_pseudo 0
% 3.53/1.56 % fd_cond 1
% 3.53/1.56 % fd_pseudo_cond 8
% 3.53/1.56 % AC symbols 0
% 3.53/1.56
% 3.53/1.56 % ------ Schedule dynamic 5 is on
% 3.53/1.56
% 3.53/1.56 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.53/1.56
% 3.53/1.56
% 3.53/1.56 % ------
% 3.53/1.56 % Current options:
% 3.53/1.56 % ------
% 3.53/1.56
% 3.53/1.56
% 3.53/1.56 %
% 3.53/1.56
% 3.53/1.56 % ------ Proving...
% 3.53/1.56 %
% 3.53/1.56
% 3.53/1.56 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.56
% 3.53/1.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.53/1.56
% 3.53/1.56
%------------------------------------------------------------------------------