%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM614+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 : Sun Sep 27 08:17:34 AM UTC 2026
% Result : Theorem 0.53s 0.48s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 42 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 15 |; 5 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSel,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aSet0(W0) )
=> ! [W2] :
( W2 = slbdtsldtrb0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) ) )
& aSet0(W2) ) ) ),
file('theBenchmark.p',mDefSel) ).
fof(m__3533,axiom,
( szszuzczcdt0(xk) = xK
& aElementOf0(xk,szNzAzT0) ),
file('theBenchmark.p',m__3533) ).
fof(m__4891,axiom,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
file('theBenchmark.p',m__4891) ).
fof(m__,conjecture,
aElementOf0(xP,slbdtsldtrb0(xO,xk)),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_192,plain,
( sbrdtbr0(D) != B
| ~ aSubsetOf0(D,A)
| aElementOf0(D,C)
| slbdtsldtrb0(A,B) != C
| ~ aElementOf0(B,szNzAzT0)
| ~ aSet0(A) ),
inference(clausify,[status(thm)],[mDefSel]) ).
cnf(c_248,plain,
aElementOf0(xk,szNzAzT0),
inference(clausify,[status(thm)],[m__3533]) ).
cnf(c_287,plain,
aSet0(xO),
inference(clausify,[status(thm)],[m__4891]) ).
fof(m__5208,axiom,
aSubsetOf0(xP,xO),
file('theBenchmark.p',m__5208) ).
cnf(c_307,plain,
aSubsetOf0(xP,xO),
inference(clausify,[status(thm)],[m__5208]) ).
fof(m__5217,axiom,
sbrdtbr0(xP) = xk,
file('theBenchmark.p',m__5217) ).
cnf(c_308,plain,
sbrdtbr0(xP) = xk,
inference(clausify,[status(thm)],[m__5217]) ).
cnf(c_309,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
inference(clausify,[status(thm)],[m___neg]) ).
cnf(c_1061,plain,
( sbrdtbr0(C) != A
| ~ aSubsetOf0(C,xO)
| aElementOf0(C,B)
| slbdtsldtrb0(xO,A) != B
| ~ aElementOf0(A,szNzAzT0) ),
inference(resolve,[status(thm)],[c_192,c_287]) ).
cnf(c_1062,plain,
( sbrdtbr0(B) != xk
| ~ aSubsetOf0(B,xO)
| aElementOf0(B,A)
| slbdtsldtrb0(xO,xk) != A ),
inference(resolve,[status(thm)],[c_1061,c_248]) ).
cnf(c_1063,plain,
( sbrdtbr0(A) != xk
| ~ aSubsetOf0(A,xO)
| aElementOf0(A,slbdtsldtrb0(xO,xk)) ),
inference(xxres,[status(thm)],[c_1062]) ).
cnf(c_1064,plain,
( sbrdtbr0(xP) != xk
| aElementOf0(xP,slbdtsldtrb0(xO,xk)) ),
inference(resolve,[status(thm)],[c_1063,c_307]) ).
cnf(c_1065,plain,
aElementOf0(xP,slbdtsldtrb0(xO,xk)),
inference(resolve,[status(thm)],[c_1064,c_308]) ).
cnf(c_1060,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_309,c_1065]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM614+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 03:27:48 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 497644 was started by sandbox on n020,
% 0.08/0.36 % Sat Sep 26 03:27:48 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.39
% 0.13/0.39 % From the command line: assign(max_seconds, 300).
% 0.53/0.48
% 0.53/0.48 % SZS status Theorem for theBenchmark
% 0.53/0.48
% 0.53/0.48 % Proof 1 at 0.07 (+ 0.02) seconds.
% 0.53/0.48 % Length of proof is 11.
% 0.53/0.48 % Level of proof is 2.
% 0.53/0.48 % Maximum clause weight is 30.000.
% 0.53/0.48 % Given clauses 204.
% 0.53/0.48
% 0.53/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------