%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET002-1 : 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 02:45:57 PM UTC 2026
% Result : Unsatisfiable 0.58s 0.96s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 30 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
fof(f6,axiom,
! [X0,X1] :
( equal_sets(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_are_set_equal_sets) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( member(X3,X1)
| member(X3,X0)
| ~ member(X3,X2)
| ~ union(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',member_of_union_is_member_of_one_set) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( member(X3,X2)
| ~ member(X3,X0)
| ~ union(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',member_of_set1_is_member_of_union) ).
fof(f13,axiom,
union(a,a,aUa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_union_a_is_aUa) ).
fof(f14,negated_conjecture,
~ equal_sets(aUa,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_aUa) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( equal_sets(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X3,X1)
| member(X3,X0)
| ~ member(X3,X2)
| ~ union(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X3,X2)
| ~ member(X3,X0)
| ~ union(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_75,plain,
union(a,a,aUa),
inference(cnf_transformation,[],[f13]) ).
tcf(c_76,negated_conjecture,
~ equal_sets(aUa,a),
inference(cnf_transformation,[],[f14]) ).
tcf(c_155,plain,
( ~ subset(aUa,a)
| ~ subset(a,aUa) ),
inference(resolution,[status(thm)],[c_76,c_68]) ).
tcf(c_621,plain,
( subset(a,aUa)
| member(member_of_1_not_of_2(a,aUa),a) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_622,plain,
( subset(a,aUa)
| ~ member(member_of_1_not_of_2(a,aUa),aUa) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i] :
( member(member_of_1_not_of_2(a,aUa),X1)
| ~ union(a,X0,X1)
| ~ member(member_of_1_not_of_2(a,aUa),a) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_627,plain,
( subset(aUa,a)
| ~ member(member_of_1_not_of_2(aUa,a),a) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_628,plain,
( subset(aUa,a)
| member(member_of_1_not_of_2(aUa,a),aUa) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_640,plain,
! [X0: $i] :
( member(member_of_1_not_of_2(a,aUa),aUa)
| ~ union(a,X0,aUa)
| ~ member(member_of_1_not_of_2(a,aUa),a) ),
inference(instantiation,[status(thm)],[c_624]) ).
tcf(c_641,plain,
( member(member_of_1_not_of_2(a,aUa),aUa)
| ~ union(a,a,aUa)
| ~ member(member_of_1_not_of_2(a,aUa),a) ),
inference(instantiation,[status(thm)],[c_640]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i] :
( member(member_of_1_not_of_2(aUa,a),X1)
| member(member_of_1_not_of_2(aUa,a),X0)
| ~ union(X0,X1,aUa)
| ~ member(member_of_1_not_of_2(aUa,a),aUa) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_661,plain,
( member(member_of_1_not_of_2(aUa,a),a)
| ~ union(a,a,aUa)
| ~ member(member_of_1_not_of_2(aUa,a),aUa) ),
inference(instantiation,[status(thm)],[c_660]) ).
tcf(c_662,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_661,c_641,c_627,c_628,c_622,c_621,c_155,c_75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Thu Sep 24 09:03:35 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.06/0.33
% 0.06/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.06/0.33
% 0.06/0.33 % Detected problem language: tptp
% 0.06/0.34 % Proving...
% 0.58/0.96 % SZS status Started for theBenchmark.p
% 0.58/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 0.58/0.96
% 0.58/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.58/0.96
% 0.58/0.96 % ------ iProver source info
% 0.58/0.96
% 0.58/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 0.58/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.58/0.96 % git: non_committed_changes: false
% 0.58/0.96
% 0.58/0.96 % ------ Parsing...% successful
% 0.58/0.96
% 0.58/0.96
% 0.58/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.58/0.96
% 0.58/0.96 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.58/0.96
% 0.58/0.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.58/0.96 % ------ Proving...
% 0.58/0.96 % ------ Problem Properties
% 0.58/0.96
% 0.58/0.96 %
% 0.58/0.96 % clauses 11
% 0.58/0.96 % conjectures 0
% 0.58/0.96 % EPR 6
% 0.58/0.96 % Horn 8
% 0.58/0.96 % unary 1
% 0.58/0.96 % binary 3
% 0.58/0.96 % lits 30
% 0.58/0.96 % lits eq 0
% 0.58/0.96 % fd_pure 0
% 0.58/0.96 % fd_pseudo 0
% 0.58/0.96 % fd_cond 0
% 0.58/0.96 % fd_pseudo_cond 0
% 0.58/0.96 % AC symbols 0
% 0.58/0.96
% 0.58/0.96 % ------ Schedule dynamic 5 is on
% 0.58/0.96
% 0.58/0.96 % ------ no conjectures: strip conj schedule
% 0.58/0.96
% 0.58/0.96 % ------ no equalities: superposition off
% 0.58/0.96
% 0.58/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.58/0.96
% 0.58/0.96
% 0.58/0.96 % ------
% 0.58/0.96 % Current options:
% 0.58/0.96 % ------
% 0.58/0.96
% 0.58/0.96
% 0.58/0.96 %
% 0.58/0.96
% 0.58/0.96 % ------ Proving...
% 0.58/0.96 %
% 0.58/0.96
% 0.58/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 0.58/0.96
% 0.58/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.58/0.96
% 0.58/0.96
%------------------------------------------------------------------------------