%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET025-8 : 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 : n012.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 6.88s 1.53s
% Output : CNFRefutation 6.88s
% 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(f173,axiom,
ordered_pair_predicate(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_ordered_pair_predicate) ).
fof(f174,negated_conjecture,
~ little_set(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_predicate_is_small) ).
fof(f176,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(f178,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,f176]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] : little_set(non_ordered_pair(X0,X1)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_212,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,[],[f178]) ).
tcf(c_347,plain,
ordered_pair_predicate(a),
inference(cnf_transformation,[],[f173]) ).
tcf(c_348,negated_conjecture,
~ little_set(a),
inference(cnf_transformation,[],[f174]) ).
tcf(c_9691,negated_conjecture,
~ little_set(a),
inference(demodulation,[status(thm)],[c_348]) ).
tcf(c_18771,plain,
non_ordered_pair(non_ordered_pair(f2(a),f2(a)),non_ordered_pair(f2(a),f3(a))) = a,
inference(superposition,[status(thm)],[c_347,c_212]) ).
tcf(c_19754,plain,
little_set(a),
inference(superposition,[status(thm)],[c_18771,c_209]) ).
tcf(c_19765,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_19754,c_9691]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET025-8 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Thu Sep 24 09:16:05 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 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
% 0.08/0.34
% 0.08/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.34
% 0.08/0.34 % Detected problem language: tptp
% 0.08/0.35 % Proving...
% 6.88/1.53 % SZS status Started for theBenchmark.p
% 6.88/1.53 % SZS status Unsatisfiable for theBenchmark.p
% 6.88/1.53
% 6.88/1.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.88/1.53
% 6.88/1.53 % ------ iProver source info
% 6.88/1.53
% 6.88/1.53 % git: date: 2026-07-19 20:42:38 +0200
% 6.88/1.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.88/1.53 % git: non_committed_changes: false
% 6.88/1.53
% 6.88/1.53 % ------ Parsing...% successful
% 6.88/1.53
% 6.88/1.53
% 6.88/1.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.88/1.53
% 6.88/1.53 % ------ 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 %
% 6.88/1.53
% 6.88/1.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.88/1.53
% 6.88/1.53 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.88/1.53 % ------ Proving...
% 6.88/1.53 % ------ Problem Properties
% 6.88/1.53
% 6.88/1.53 %
% 6.88/1.53 % clauses 139
% 6.88/1.53 % conjectures 1
% 6.88/1.53 % EPR 23
% 6.88/1.53 % Horn 120
% 6.88/1.53 % unary 7
% 6.88/1.53 % binary 91
% 6.88/1.53 % lits 345
% 6.88/1.53 % lits eq 35
% 6.88/1.53 % fd_pure 0
% 6.88/1.53 % fd_pseudo 0
% 6.88/1.53 % fd_cond 4
% 6.88/1.53 % fd_pseudo_cond 10
% 6.88/1.53 % AC symbols 0
% 6.88/1.53
% 6.88/1.53 % ------ Schedule dynamic 5 is on
% 6.88/1.53
% 6.88/1.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.88/1.53
% 6.88/1.53
% 6.88/1.53 % ------
% 6.88/1.53 % Current options:
% 6.88/1.53 % ------
% 6.88/1.53
% 6.88/1.53
% 6.88/1.53 %
% 6.88/1.53
% 6.88/1.53 % ------ Proving...
% 6.88/1.53 %
% 6.88/1.53
% 6.88/1.53 % SZS status Unsatisfiable for theBenchmark.p
% 6.88/1.53
% 6.88/1.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.88/1.53
% 6.88/1.53
%------------------------------------------------------------------------------