%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 09:09:17 AM UTC 2026
% Result : Unsatisfiable 31.15s 14.52s
% Output : CNFRefutation 31.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 31 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 24 ( 3 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_4,axiom,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_144,plain,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
fof(cls_conjecture_3,axiom,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_145,plain,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
fof(cls_conjecture_1,axiom,
c_Com_OWT__bodies,
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_147,plain,
c_Com_OWT__bodies,
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_WT__bodiesD_0,axiom,
! [VAR_0,VAR_1] :
( c_Com_OWT(VAR_1)
| ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,VAR_0) != c_Option_Ooption_OSome(VAR_1,tc_Com_Ocom) ),
file('theBenchmark.p',cls_WT__bodiesD_0) ).
cnf(c_151,plain,
( c_Com_OWT(B)
| ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,A) != c_Option_Ooption_OSome(B,tc_Com_Ocom) ),
inference(clausify,[status(thm)],[cls_WT__bodiesD_0]) ).
cnf(c_11171,plain,
( c_Com_OWT(B)
| ~ c_Com_OWT__bodies
| c_Option_Ooption_OSome(B,tc_Com_Ocom) != hAPP(c_Com_Obody,A) ),
inference(copy,[status(thm)],[c_151]) ).
cnf(c_152,plain,
( c_Com_OWT(A)
| c_Option_Ooption_OSome(A,tc_Com_Ocom) != hAPP(c_Com_Obody,B) ),
inference(resolve,[status(thm)],[c_147,c_11171]) ).
fof(cls_the_Osimps_0,axiom,
! [VAR_0,VAR_1] : c_Option_Othe(c_Option_Ooption_OSome(VAR_0,VAR_1),VAR_1) = VAR_0,
file('theBenchmark.p',cls_the_Osimps_0) ).
cnf(c_180,plain,
c_Option_Othe(c_Option_Ooption_OSome(A,B),B) = A,
inference(clausify,[status(thm)],[cls_the_Osimps_0]) ).
fof(cls_domD_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ hBOOL(hAPP(hAPP(c_in(VAR_2),VAR_1),c_Map_Odom(VAR_0,VAR_2,VAR_3)))
| hAPP(VAR_0,VAR_1) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(VAR_1,VAR_0,VAR_2,VAR_3),VAR_3) ),
file('theBenchmark.p',cls_domD_0) ).
cnf(c_186,plain,
( ~ hBOOL(hAPP(hAPP(c_in(C),B),c_Map_Odom(A,C,D)))
| hAPP(A,B) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(B,A,C,D),D) ),
inference(clausify,[status(thm)],[cls_domD_0]) ).
cnf(c_187,plain,
( ~ hBOOL(hAPP(hAPP(c_in(C),A),c_Map_Odom(B,C,D)))
| c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(A,B,C,D),D) = hAPP(B,A) ),
inference(copy,[status(thm)],[c_186]) ).
cnf(c_1183,plain,
c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn),
inference(resolve,[status(thm)],[c_187,c_145]) ).
cnf(c_11151,plain,
c_Com_OWT(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom)),
inference(resolve,[status(thm)],[c_1183,c_152]) ).
cnf(c_11172,plain,
c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom) = c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),
inference(paramod,[status(thm)],[c_1183,c_180]) ).
cnf(c_11153,plain,
c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom) = c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom),
inference(copy,[status(thm)],[c_11172]) ).
cnf(c_11173,plain,
c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
inference(paramod,[status(thm)],[c_11153,c_11151]) ).
cnf(c_11170,plain,
$false,
inference(resolve,[status(thm)],[c_144,c_11173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/10.46 % Computer : n014.cluster.edu
% 0.18/10.46 % Model : x86_64 x86_64
% 0.18/10.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.46 % Memory : 8046.5625MB
% 0.18/10.46 % OS : Linux 6.8.0-71-generic
% 0.18/10.46 % CPULimit : 300
% 0.18/10.46 % WCLimit : 300
% 0.18/10.46 % DateTime : Sat Sep 26 15:07:13 UTC 2026
% 0.18/10.46 % CPUTime :
% 0.18/10.47 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/10.47 % Process 3469053 was started by sandbox2 on n014,
% 0.18/10.47 % Sat Sep 26 15:07:13 2026
% 0.18/10.47 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.23/10.51
% 0.23/10.51 % From the command line: assign(max_seconds, 300).
% 31.15/14.52
% 31.15/14.52 % given #500 (I,wt=20): 859 c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(47,a,27,a)].
% 31.15/14.52
% 31.15/14.52 % given #1000 (F,wt=31): 6749 -c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat),c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_nat),tc_nat),tc_nat). [para(1092(a,1),6386(a,1)),rewrite([94(8)])].
% 31.15/14.52
% 31.15/14.52 % SZS status Unsatisfiable for theBenchmark
% 31.15/14.52
% 31.15/14.52 % Proof 1 at 3.17 (+ 0.74) seconds.
% 31.15/14.52 % Length of proof is 12.
% 31.15/14.52 % Level of proof is 4.
% 31.15/14.52 % Maximum clause weight is 46.000.
% 31.15/14.52 % Given clauses 1075.
% 31.15/14.52
% 31.15/14.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------