%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET103-7 : 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 : n002.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 3.82s 11.55s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 14 unt; 0 def)
% Number of atoms : 20 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 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(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(f120,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
fof(f138,axiom,
! [X0] :
( singleton(X0) = null_class
| member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_is_null_class) ).
fof(f166,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(f167,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_2) ).
fof(f168,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(f169,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,[],[f166,f12,f168]) ).
fof(f196,plain,
! [X0] :
( unordered_pair(X0,X0) = null_class
| member(X0,universal_class) ),
inference(definition_unfolding,[],[f138,f12]) ).
tcf(c_198,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,[],[f169]) ).
tcf(c_199,negated_conjecture,
~ member(y,universal_class),
inference(cnf_transformation,[],[f167]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f120]) ).
tcf(c_235,plain,
! [X0: $i] :
( member(X0,universal_class)
| ( unordered_pair(X0,X0) = null_class ) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_700,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))) != unordered_pair(unordered_pair(null_class,x),unordered_pair(x,x)),
inference(demodulation,[status(thm)],[c_198,c_214]) ).
tcf(c_1543,plain,
unordered_pair(y,y) = null_class,
inference(superposition,[status(thm)],[c_235,c_199]) ).
tcf(c_1544,plain,
unordered_pair(unordered_pair(null_class,x),unordered_pair(x,x)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)),
inference(demodulation,[status(thm)],[c_700,c_1543]) ).
tcf(c_1545,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1544,c_214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET103-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/10.60 % Computer : n002.cluster.edu
% 0.13/10.60 % Model : x86_64 x86_64
% 0.13/10.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.60 % Memory : 8046.5625MB
% 0.13/10.60 % OS : Linux 6.8.0-71-generic
% 0.13/10.60 % CPULimit : 300
% 0.13/10.60 % WCLimit : 300
% 0.13/10.60 % DateTime : Thu Sep 24 09:52:32 UTC 2026
% 0.13/10.60 % CPUTime :
% 0.13/10.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/10.65 Running first-order theorem proving
% 0.13/10.65 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
% 0.13/10.66
% 0.13/10.66 % ======== iProver multi-core TPTP/SMT =========
% 0.13/10.66
% 0.13/10.66 % Detected problem language: tptp
% 0.13/10.67 % Proving...
% 3.82/11.55 % SZS status Started for theBenchmark.p
% 3.82/11.55 % SZS status Unsatisfiable for theBenchmark.p
% 3.82/11.55
% 3.82/11.55 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.82/11.55
% 3.82/11.55 % ------ iProver source info
% 3.82/11.55
% 3.82/11.55 % git: date: 2026-07-19 20:42:38 +0200
% 3.82/11.55 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.82/11.55 % git: non_committed_changes: false
% 3.82/11.55
% 3.82/11.55 % ------ Parsing...% successful
% 3.82/11.55
% 3.82/11.55
% 3.82/11.55 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.82/11.55
% 3.82/11.55 % ------ Preprocessing... sup_sim: 1 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 %
% 3.82/11.55
% 3.82/11.55 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.82/11.55
% 3.82/11.55 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.82/11.55 % ------ Proving...
% 3.82/11.55 % ------ Problem Properties
% 3.82/11.55
% 3.82/11.55 %
% 3.82/11.55 % clauses 45
% 3.82/11.55 % conjectures 1
% 3.82/11.55 % EPR 10
% 3.82/11.55 % Horn 38
% 3.82/11.55 % unary 15
% 3.82/11.55 % binary 17
% 3.82/11.55 % lits 89
% 3.82/11.55 % lits eq 27
% 3.82/11.55 % fd_pure 0
% 3.82/11.55 % fd_pseudo 0
% 3.82/11.55 % fd_cond 1
% 3.82/11.55 % fd_pseudo_cond 9
% 3.82/11.55 % AC symbols 0
% 3.82/11.55
% 3.82/11.55 % ------ Schedule dynamic 5 is on
% 3.82/11.55
% 3.82/11.55 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.82/11.55
% 3.82/11.55
% 3.82/11.55 % ------
% 3.82/11.55 % Current options:
% 3.82/11.55 % ------
% 3.82/11.55
% 3.82/11.55
% 3.82/11.55 %
% 3.82/11.55
% 3.82/11.55 % ------ Proving...
% 3.82/11.55 %
% 3.82/11.55
% 3.82/11.55 % SZS status Unsatisfiable for theBenchmark.p
% 3.82/11.55
% 3.82/11.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/11.55
% 3.82/11.55
%------------------------------------------------------------------------------