%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWW383+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 09:14:10 AM UTC 2026
% Result : Theorem 115.61s 17.36s
% Output : CNFRefutation 115.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 10 unt; 0 def)
% Number of atoms : 18 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 2 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_WT__bodiesD,axiom,
! [V_b,V_pn] :
( c_Com_OWT__bodies
=> ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
=> hBOOL(hAPP(c_Com_OWT,V_b)) ) ),
file('theBenchmark.p',fact_WT__bodiesD) ).
fof(conj_6,conjecture,
hBOOL(hAPP(c_Com_OWT,v_y)),
file('theBenchmark.p',conj_6) ).
fof(conj_6_neg,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(assume_negation,[status(cth)],[conj_6]) ).
cnf(c_5214,plain,
( hBOOL(hAPP(c_Com_OWT,A))
| hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),A) != hAPP(c_Com_Obody,B)
| ~ c_Com_OWT__bodies ),
inference(clausify,[status(thm)],[fact_WT__bodiesD]) ).
fof(conj_0,axiom,
c_Com_OWT__bodies,
file('theBenchmark.p',conj_0) ).
cnf(c_6999,plain,
c_Com_OWT__bodies,
inference(clausify,[status(thm)],[conj_0]) ).
fof(conj_4,axiom,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
file('theBenchmark.p',conj_4) ).
cnf(c_7004,plain,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(clausify,[status(thm)],[conj_4]) ).
cnf(c_7005,plain,
hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) = hAPP(c_Com_Obody,v_pn),
inference(copy,[status(thm)],[c_7004]) ).
cnf(c_7008,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(clausify,[status(thm)],[conj_6_neg]) ).
cnf(c_7368,plain,
( hBOOL(hAPP(c_Com_OWT,A))
| hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),A) != hAPP(c_Com_Obody,B) ),
inference(resolve,[status(thm)],[c_6999,c_5214]) ).
cnf(c_22546,plain,
hBOOL(hAPP(c_Com_OWT,v_y)),
inference(resolve,[status(thm)],[c_7368,c_7005]) ).
cnf(c_22545,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_7008,c_22546]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW383+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 15:42:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 1101237 was started by sandbox2 on n017,
% 0.10/0.38 % Sat Sep 26 15:42:33 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 115.61/17.36
% 115.61/17.36 % SInE (scan): 2252 to sos (tol 1.5x), 390 to usable (tol 2.0x), 2605 zapped, of 5247 axioms (depth 3).
% 115.61/17.36
% 115.61/17.36 % From the command line: assign(max_seconds, 300).
% 115.61/17.36
% 115.61/17.36 % given #500 (F,wt=38): 9176 -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),hAPP(c_Fun_Ocomp(B,C,B,A),c_Fun_Oid(B)))). [resolve(6138,b,4299,a)].
% 115.61/17.36
% 115.61/17.36 % SZS status Theorem for theBenchmark
% 115.61/17.36
% 115.61/17.36 % Proof 1 at 15.27 (+ 1.04) seconds.
% 115.61/17.36 % Length of proof is 9.
% 115.61/17.36 % Level of proof is 3.
% 115.61/17.36 % Maximum clause weight is 28.000.
% 115.61/17.36 % Given clauses 534.
% 115.61/17.36
% 115.61/17.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------