%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET015-1 : 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 02:46:03 PM UTC 2026
% Result : Unsatisfiable 4.11s 1.27s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 3 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 74 ( 32 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_set1_is_member_of_union) ).
fof(f8,axiom,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_set2_is_member_of_union) ).
fof(f9,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_union_is_member_of_one_set) ).
fof(f15,axiom,
! [X0,X1] :
( equal_sets(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_are_set_equal_sets) ).
fof(f22,negated_conjecture,
~ equal_sets(union(as,bs),union(bs,as)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,union(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( equal_sets(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_92,negated_conjecture,
~ equal_sets(union(as,bs),union(bs,as)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_423,plain,
! [X0_iProver_equal_sets_1: iProver_equal_sets_1,X1_iProver_equal_sets_1: iProver_equal_sets_1] :
( equal_sets(X1_iProver_equal_sets_1,X0_iProver_equal_sets_1)
| ~ subset(X1_iProver_equal_sets_1,X0_iProver_equal_sets_1)
| ~ subset(X0_iProver_equal_sets_1,X1_iProver_equal_sets_1) ),
inference(subtyping,[status(esa)],[c_85]) ).
tcf(c_429,plain,
! [X0_iProver_equal_sets_1: iProver_equal_sets_1,X0_iProver_member_1: iProver_member_1,X1_iProver_equal_sets_1: iProver_equal_sets_1] :
( member(X0_iProver_member_1,X1_iProver_equal_sets_1)
| member(X0_iProver_member_1,X0_iProver_equal_sets_1)
| ~ member(X0_iProver_member_1,union(X0_iProver_equal_sets_1,X1_iProver_equal_sets_1)) ),
inference(subtyping,[status(esa)],[c_79]) ).
tcf(c_430,plain,
! [X0_iProver_equal_sets_1: iProver_equal_sets_1,X0_iProver_member_1: iProver_member_1,X1_iProver_equal_sets_1: iProver_equal_sets_1] :
( member(X0_iProver_member_1,union(X1_iProver_equal_sets_1,X0_iProver_equal_sets_1))
| ~ member(X0_iProver_member_1,X0_iProver_equal_sets_1) ),
inference(subtyping,[status(esa)],[c_78]) ).
tcf(c_431,plain,
! [X0_iProver_equal_sets_1: iProver_equal_sets_1,X0_iProver_member_1: iProver_member_1,X1_iProver_equal_sets_1: iProver_equal_sets_1] :
( member(X0_iProver_member_1,union(X0_iProver_equal_sets_1,X1_iProver_equal_sets_1))
| ~ member(X0_iProver_member_1,X0_iProver_equal_sets_1) ),
inference(subtyping,[status(esa)],[c_77]) ).
tcf(c_434,plain,
! [X0_iProver_equal_sets_1: iProver_equal_sets_1,X1_iProver_equal_sets_1: iProver_equal_sets_1] :
( subset(X0_iProver_equal_sets_1,X1_iProver_equal_sets_1)
| ~ member(member_of_1_not_of_2(X0_iProver_equal_sets_1,X1_iProver_equal_sets_1),X1_iProver_equal_sets_1) ),
inference(subtyping,[status(esa)],[c_74]) ).
tcf(c_435,plain,
! [X0_iProver_equal_sets_1: iProver_equal_sets_1,X1_iProver_equal_sets_1: iProver_equal_sets_1] :
( subset(X0_iProver_equal_sets_1,X1_iProver_equal_sets_1)
| member(member_of_1_not_of_2(X0_iProver_equal_sets_1,X1_iProver_equal_sets_1),X0_iProver_equal_sets_1) ),
inference(subtyping,[status(esa)],[c_73]) ).
tcf(c_448,plain,
( equal_sets(union(as,bs),union(bs,as))
| ~ subset(union(bs,as),union(as,bs))
| ~ subset(union(as,bs),union(bs,as)) ),
inference(instantiation,[status(thm)],[c_423]) ).
tcf(c_456,plain,
( subset(union(bs,as),union(as,bs))
| ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(as,bs)) ),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_457,plain,
( subset(union(bs,as),union(as,bs))
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(bs,as)) ),
inference(instantiation,[status(thm)],[c_435]) ).
tcf(c_472,plain,
( member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(as,bs))
| ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs) ),
inference(instantiation,[status(thm)],[c_430]) ).
tcf(c_473,plain,
( member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(as,bs))
| ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),as) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_477,plain,
( subset(union(as,bs),union(bs,as))
| ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as)) ),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_478,plain,
( subset(union(as,bs),union(bs,as))
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(as,bs)) ),
inference(instantiation,[status(thm)],[c_435]) ).
tcf(c_531,plain,
! [X0_iProver_equal_sets_1: iProver_equal_sets_1] :
( member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs)
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),X0_iProver_equal_sets_1)
| ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(bs,X0_iProver_equal_sets_1)) ),
inference(instantiation,[status(thm)],[c_429]) ).
tcf(c_534,plain,
( member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs)
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),as)
| ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(bs,as)) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_553,plain,
( member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as))
| ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as) ),
inference(instantiation,[status(thm)],[c_430]) ).
tcf(c_554,plain,
( member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as))
| ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),bs) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_652,plain,
! [X0_iProver_equal_sets_1: iProver_equal_sets_1] :
( member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),X0_iProver_equal_sets_1)
| ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(as,X0_iProver_equal_sets_1)) ),
inference(instantiation,[status(thm)],[c_429]) ).
tcf(c_1426,plain,
( member(member_of_1_not_of_2(union(as,bs),union(bs,as)),bs)
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(as,bs)) ),
inference(instantiation,[status(thm)],[c_652]) ).
tcf(c_1427,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1426,c_554,c_553,c_534,c_477,c_478,c_473,c_472,c_456,c_457,c_448,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET015-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.34 % Computer : n011.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 09:09:27 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 4.11/1.27 % SZS status Started for theBenchmark.p
% 4.11/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.27
% 4.11/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.11/1.27
% 4.11/1.27 % ------ iProver source info
% 4.11/1.27
% 4.11/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.11/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.11/1.27 % git: non_committed_changes: false
% 4.11/1.27
% 4.11/1.27 % ------ Parsing...% successful
% 4.11/1.27
% 4.11/1.27
% 4.11/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.11/1.27
% 4.11/1.27 % ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.11/1.27
% 4.11/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.11/1.27 % ------ Proving...
% 4.11/1.27 % ------ Problem Properties
% 4.11/1.27
% 4.11/1.27 %
% 4.11/1.27 % clauses 19
% 4.11/1.27 % conjectures 1
% 4.11/1.27 % EPR 8
% 4.11/1.27 % Horn 16
% 4.11/1.27 % unary 3
% 4.11/1.27 % binary 11
% 4.11/1.27 % lits 40
% 4.11/1.27 % lits eq 0
% 4.11/1.27 % fd_pure 0
% 4.11/1.27 % fd_pseudo 0
% 4.11/1.27 % fd_cond 0
% 4.11/1.27 % fd_pseudo_cond 0
% 4.11/1.27 % AC symbols 0
% 4.11/1.27
% 4.11/1.27 % ------ Input Options Time Limit: Unbounded
% 4.11/1.27
% 4.11/1.27
% 4.11/1.27 % ------
% 4.11/1.27 % Current options:
% 4.11/1.27 % ------
% 4.11/1.27
% 4.11/1.27
% 4.11/1.27 %
% 4.11/1.27
% 4.11/1.27 % ------ Proving...
% 4.11/1.27 %
% 4.11/1.27
% 4.11/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.27
% 4.11/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/1.27
% 4.11/1.27
%------------------------------------------------------------------------------