%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET108-6 : 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 : n011.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 02:46:38 PM UTC 2026
% Result : Unsatisfiable 3.99s 26.43s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X2,X0,X1] :
( ordered_pair(first(X0),second(X0)) = X0
| ~ member(X0,cross_product(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
fof(f101,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_1) ).
fof(f102,negated_conjecture,
~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_2) ).
tcf(c_142,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f101]) ).
tcf(c_143,negated_conjecture,
~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f102]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ordered_pair(first(X0),second(X0)) = X0 )
| ~ member(X0,cross_product(X1,X2)) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_540,plain,
ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))) = ordered_pair(y,z),
inference(superposition,[status(thm)],[c_142,c_148]) ).
tcf(c_545,plain,
~ member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
inference(demodulation,[status(thm)],[c_143,c_540]) ).
tcf(c_546,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_545,c_142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET108-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.16/25.52 % CPULimit : 300
% 0.16/25.52 % WCLimit : 300
% 0.16/25.52 % DateTime : Thu Sep 24 09:51:53 UTC 2026
% 0.16/25.52 % CPUTime :
% 0.16/25.52 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/25.56 Running first-order theorem proving
% 0.16/25.56 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
% 0.16/25.57
% 0.16/25.57 % ======== iProver multi-core TPTP/SMT =========
% 0.16/25.57
% 0.16/25.57 % Detected problem language: tptp
% 0.16/25.59 % Proving...
% 3.99/26.43 % SZS status Started for theBenchmark.p
% 3.99/26.43 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/26.43
% 3.99/26.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.99/26.43
% 3.99/26.43 % ------ iProver source info
% 3.99/26.43
% 3.99/26.43 % git: date: 2026-07-19 20:42:38 +0200
% 3.99/26.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.99/26.43 % git: non_committed_changes: false
% 3.99/26.43
% 3.99/26.43 % ------ Parsing...% successful
% 3.99/26.43
% 3.99/26.43
% 3.99/26.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.99/26.43
% 3.99/26.43 % ------ 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 %
% 3.99/26.43
% 3.99/26.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.99/26.43
% 3.99/26.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.99/26.43 % ------ Proving...
% 3.99/26.43 % ------ Problem Properties
% 3.99/26.43
% 3.99/26.43 %
% 3.99/26.43 % clauses 10
% 3.99/26.43 % conjectures 2
% 3.99/26.43 % EPR 4
% 3.99/26.43 % Horn 10
% 3.99/26.43 % unary 4
% 3.99/26.43 % binary 3
% 3.99/26.43 % lits 19
% 3.99/26.44 % lits eq 2
% 3.99/26.44 % fd_pure 0
% 3.99/26.44 % fd_pseudo 0
% 3.99/26.44 % fd_cond 0
% 3.99/26.44 % fd_pseudo_cond 1
% 3.99/26.44 % AC symbols 0
% 3.99/26.44
% 3.99/26.44 % ------ Schedule dynamic 5 is on
% 3.99/26.44
% 3.99/26.44 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.99/26.44
% 3.99/26.44
% 3.99/26.44 % ------
% 3.99/26.44 % Current options:
% 3.99/26.44 % ------
% 3.99/26.44
% 3.99/26.44
% 3.99/26.44 %
% 3.99/26.44
% 3.99/26.44 % ------ Proving...
% 3.99/26.44 %
% 3.99/26.44
% 3.99/26.44 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/26.44
% 3.99/26.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.99/26.44
% 3.99/26.44
%------------------------------------------------------------------------------