%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET025-9 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 02:46:09 PM UTC 2026
% Result : Unsatisfiable 4.11s 1.29s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 21 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',non_ordered_pair4) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',singleton_set) ).
fof(f10,axiom,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair) ).
fof(f13,axiom,
! [X0] :
( X0 = ordered_pair(f2(X0),f3(X0))
| ~ ordered_pair_predicate(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair_predicate3) ).
fof(f14,plain,
! [X0] :
( ordered_pair(f2(X0),f3(X0)) = X0
| ~ ordered_pair_predicate(X0) ),
inference(reorient_equations,[],[f13]) ).
fof(f162,axiom,
ordered_pair_predicate(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_ordered_pair_predicate) ).
fof(f163,negated_conjecture,
~ little_set(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_predicate_is_small) ).
fof(f165,plain,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
inference(definition_unfolding,[],[f10,f9]) ).
fof(f167,plain,
! [X0] :
( non_ordered_pair(non_ordered_pair(f2(X0),f2(X0)),non_ordered_pair(f2(X0),f3(X0))) = X0
| ~ ordered_pair_predicate(X0) ),
inference(definition_unfolding,[],[f14,f165]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i] : little_set(non_ordered_pair(X0,X1)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_202,plain,
! [X0: $i] :
( ( non_ordered_pair(non_ordered_pair(f2(X0),f2(X0)),non_ordered_pair(f2(X0),f3(X0))) = X0 )
| ~ ordered_pair_predicate(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_327,plain,
ordered_pair_predicate(a),
inference(cnf_transformation,[],[f162]) ).
tcf(c_328,negated_conjecture,
~ little_set(a),
inference(cnf_transformation,[],[f163]) ).
tcf(c_9587,negated_conjecture,
~ little_set(a),
inference(demodulation,[status(thm)],[c_328]) ).
tcf(c_11064,plain,
non_ordered_pair(non_ordered_pair(f2(a),f2(a)),non_ordered_pair(f2(a),f3(a))) = a,
inference(superposition,[status(thm)],[c_327,c_202]) ).
tcf(c_11124,plain,
little_set(a),
inference(superposition,[status(thm)],[c_11064,c_199]) ).
tcf(c_11125,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11124,c_9587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET025-9 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 09:17:09 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 4.11/1.29 % SZS status Started for theBenchmark.p
% 4.11/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.29
% 4.11/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.11/1.29
% 4.11/1.29 % ------ iProver source info
% 4.11/1.29
% 4.11/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.11/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.11/1.29 % git: non_committed_changes: false
% 4.11/1.29
% 4.11/1.29 % ------ Parsing...% successful
% 4.11/1.29
% 4.11/1.29
% 4.11/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.11/1.29
% 4.11/1.29 % ------ 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: 1 0s sf_e pe_s pe_e %
% 4.11/1.29
% 4.11/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.11/1.29
% 4.11/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.11/1.29 % ------ Proving...
% 4.11/1.29 % ------ Problem Properties
% 4.11/1.29
% 4.11/1.29 %
% 4.11/1.29 % clauses 131
% 4.11/1.29 % conjectures 1
% 4.11/1.29 % EPR 22
% 4.11/1.29 % Horn 112
% 4.11/1.29 % unary 7
% 4.11/1.29 % binary 89
% 4.11/1.29 % lits 321
% 4.11/1.29 % lits eq 26
% 4.11/1.29 % fd_pure 0
% 4.11/1.29 % fd_pseudo 0
% 4.11/1.29 % fd_cond 4
% 4.11/1.29 % fd_pseudo_cond 6
% 4.11/1.29 % AC symbols 0
% 4.11/1.29
% 4.11/1.29 % ------ Schedule dynamic 5 is on
% 4.11/1.29
% 4.11/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.11/1.29
% 4.11/1.29
% 4.11/1.29 % ------
% 4.11/1.29 % Current options:
% 4.11/1.29 % ------
% 4.11/1.29
% 4.11/1.29
% 4.11/1.29 %
% 4.11/1.29
% 4.11/1.29 % ------ Proving...
% 4.11/1.29 %
% 4.11/1.29
% 4.11/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.29
% 4.11/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/1.29
% 4.11/1.29
%------------------------------------------------------------------------------