%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET940+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 : Thu Sep 24 08:57:50 AM UTC 2026
% Result : Theorem 0.15s 15.42s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t93_zfmisc_1,conjecture,
! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
file('theBenchmark.p',t93_zfmisc_1) ).
fof(l52_zfmisc_1,axiom,
! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
file('theBenchmark.p',l52_zfmisc_1) ).
fof(f_8_1,negated_conjecture,
~ ! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
inference(negate,[status(cth)],[t93_zfmisc_1]) ).
fof(f_8_2,negated_conjecture,
? [A,B] : union(unordered_pair(A,B)) != set_union2(A,B),
inference(fof_nnf,[status(thm)],[f_8_1]) ).
fof(f_8_3,negated_conjecture,
? [U_13,U_12] : union(unordered_pair(U_13,U_12)) != set_union2(U_13,U_12),
inference(variable_rename,[status(thm)],[f_8_2]) ).
fof(f_8_4,negated_conjecture,
? [U_12] : union(unordered_pair(sK3,U_12)) != set_union2(sK3,U_12),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_13,sK3)],[f_8_3]) ).
fof(f_8_5,negated_conjecture,
union(unordered_pair(sK3,sK4)) != set_union2(sK3,sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_12,sK4)],[f_8_4]) ).
fof(f_8_6,negated_conjecture,
union(unordered_pair(sK3,sK4)) != set_union2(sK3,sK4),
inference(definitional_conversion,[status(esa)],[f_8_5]) ).
cnf(f_8_7,negated_conjecture,
union(unordered_pair(sK3,sK4)) != set_union2(sK3,sK4),
inference(clausify,[status(thm)],[f_8_6]) ).
fof(f_9_1,plain,
! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
inference(fof_nnf,[status(thm)],[l52_zfmisc_1]) ).
fof(f_9_2,plain,
! [U_15,U_14] : union(unordered_pair(U_15,U_14)) = set_union2(U_15,U_14),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
union(unordered_pair(U_15,U_14)) = set_union2(U_15,U_14),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(t1,plain,
union(unordered_pair(sK3,sK4)) != set_union2(sK3,sK4),
inference(start,[status(thm),parent(0:0)],[f_8_7]) ).
cnf(t2,plain,
union(unordered_pair(sK3,sK4)) = set_union2(sK3,sK4),
inference(extension,[status(thm),parent(t1:1)],[f_9_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET940+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/15.39 % Computer : n013.cluster.edu
% 0.10/15.39 % Model : x86_64 x86_64
% 0.10/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39 % Memory : 8046.5625MB
% 0.10/15.39 % OS : Linux 6.8.0-71-generic
% 0.10/15.39 % CPULimit : 300
% 0.10/15.39 % WCLimit : 300
% 0.10/15.39 % DateTime : Sat Sep 19 23:07:39 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.15/15.42 % SZS status Theorem for theBenchmark
% 0.15/15.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------