%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET074-7 : 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 : n004.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 02:46:25 PM UTC 2026
% Result : Unsatisfiable 3.82s 1.32s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 15 unt; 1 def)
% Number of atoms : 25 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f113,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
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(f128,negated_conjecture,
member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom2_1) ).
fof(f129,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom2_2) ).
fof(f130,plain,
null_class = unordered_pair(x,y),
inference(reorient_equations,[],[f129]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_252,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f113]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f120]) ).
tcf(c_265,negated_conjecture,
member(y,universal_class),
inference(cnf_transformation,[],[f128]) ).
tcf(c_266,negated_conjecture,
unordered_pair(x,y) = null_class,
inference(cnf_transformation,[],[f130]) ).
tcf(c_1112,plain,
unordered_pair(y,x) = null_class,
inference(demodulation,[status(thm)],[c_266,c_257]) ).
tcf(c_3085,definition,
iPr_def_10 = unordered_pair(y,x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3086,plain,
iPr_def_10 = null_class,
inference(demodulation,[status(thm)],[c_1112,c_3085]) ).
tcf(c_3087,negated_conjecture,
member(y,universal_class),
inference(demodulation,[status(thm)],[c_265]) ).
tcf(c_4023,plain,
! [X0: $i] : ~ member(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_252,c_3086]) ).
tcf(c_4112,plain,
( member(y,iPr_def_10)
| ~ member(y,universal_class) ),
inference(superposition,[status(thm)],[c_3085,c_174]) ).
tcf(c_4116,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4112,c_4023,c_3087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET074-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 09:36:23 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 3.82/1.32 % SZS status Started for theBenchmark.p
% 3.82/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.32
% 3.82/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.82/1.32
% 3.82/1.32 % ------ iProver source info
% 3.82/1.32
% 3.82/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.82/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.82/1.32 % git: non_committed_changes: false
% 3.82/1.32
% 3.82/1.32 % ------ Parsing...% successful
% 3.82/1.32
% 3.82/1.32
% 3.82/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.82/1.32
% 3.82/1.32 % ------ Preprocessing... sup_sim: 1 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 %
% 3.82/1.32
% 3.82/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.82/1.32
% 3.82/1.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.82/1.32 % ------ Proving...
% 3.82/1.32 % ------ Problem Properties
% 3.82/1.32
% 3.82/1.32 %
% 3.82/1.32 % clauses 92
% 3.82/1.32 % conjectures 1
% 3.82/1.32 % EPR 19
% 3.82/1.32 % Horn 78
% 3.82/1.32 % unary 25
% 3.82/1.32 % binary 40
% 3.82/1.32 % lits 192
% 3.82/1.32 % lits eq 35
% 3.82/1.32 % fd_pure 0
% 3.82/1.32 % fd_pseudo 0
% 3.82/1.32 % fd_cond 5
% 3.82/1.32 % fd_pseudo_cond 8
% 3.82/1.32 % AC symbols 0
% 3.82/1.32
% 3.82/1.32 % ------ Schedule dynamic 5 is on
% 3.82/1.32
% 3.82/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.82/1.32
% 3.82/1.32
% 3.82/1.32 % ------
% 3.82/1.32 % Current options:
% 3.82/1.32 % ------
% 3.82/1.32
% 3.82/1.32
% 3.82/1.32 %
% 3.82/1.32
% 3.82/1.32 % ------ Proving...
% 3.82/1.32 %
% 3.82/1.32
% 3.82/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.32
% 3.82/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/1.32
% 3.82/1.32
%------------------------------------------------------------------------------