%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET891+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 02:48:54 PM UTC 2026
% Result : Theorem 1.75s 6.50s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 16 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] : union(unordered_pair(X0,X1)) = set_union2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l52_zfmisc_1) ).
fof(f9,conjecture,
! [X0,X1] : union(unordered_pair(singleton(X0),singleton(X1))) = unordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_zfmisc_1) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] : union(unordered_pair(singleton(X0),singleton(X1))) = unordered_pair(X0,X1),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,axiom,
! [X0,X1] : unordered_pair(X0,X1) = set_union2(singleton(X0),singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_enumset1) ).
fof(f15,plain,
? [X0,X1] : unordered_pair(X0,X1) != union(unordered_pair(singleton(X0),singleton(X1))),
inference(ennf_transformation,[],[f10]) ).
fof(f18,plain,
unordered_pair(sK2,sK3) != union(unordered_pair(singleton(sK2),singleton(sK3))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f15]) ).
fof(f24,plain,
! [X0,X1] : set_union2(X0,X1) = union(unordered_pair(X0,X1)),
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
unordered_pair(sK2,sK3) != union(unordered_pair(singleton(sK2),singleton(sK3))),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0,X1] : unordered_pair(X0,X1) = set_union2(singleton(X0),singleton(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0,X1] : set_union2(X0,X1) = union(set_union2(singleton(X0),singleton(X1))),
inference(definition_unfolding,[],[f24,f28]) ).
fof(f31,plain,
set_union2(singleton(sK2),singleton(sK3)) != union(set_union2(singleton(singleton(sK2)),singleton(singleton(sK3)))),
inference(definition_unfolding,[],[f27,f28,f28]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : union(set_union2(singleton(X0),singleton(X1))) = set_union2(X0,X1),
inference(cnf_transformation,[],[f29]) ).
tcf(c_57,negated_conjecture,
union(set_union2(singleton(singleton(sK2)),singleton(singleton(sK3)))) != set_union2(singleton(sK2),singleton(sK3)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_73,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_57,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET891+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/5.44 % Computer : n005.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Thu Sep 24 12:20:23 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/5.49 Running first-order theorem proving
% 0.17/5.49 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
% 0.22/5.51
% 0.22/5.51 % ======== iProver multi-core TPTP/SMT =========
% 0.22/5.51
% 0.22/5.51 % Detected problem language: tptp
% 0.22/5.53 % Proving...
% 1.75/6.50 % SZS status Started for theBenchmark.p
% 1.75/6.50 % SZS status Theorem for theBenchmark.p
% 1.75/6.50
% 1.75/6.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.75/6.50
% 1.75/6.50 % ------ iProver source info
% 1.75/6.50
% 1.75/6.50 % git: date: 2026-07-19 20:42:38 +0200
% 1.75/6.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.75/6.50 % git: non_committed_changes: false
% 1.75/6.50
% 1.75/6.50 % ------ Parsing...
% 1.75/6.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.75/6.50
% 1.75/6.50 % ------ Preprocessing...%
% 1.75/6.50
% 1.75/6.50 % SZS status Theorem for theBenchmark.p
% 1.75/6.50
% 1.75/6.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.75/6.50
% 1.75/6.50
%------------------------------------------------------------------------------