TSTP Solution File: SWV879-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV879-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 21:45:28 EDT 2022
% Result : Unsatisfiable 2.86s 3.09s
% Output : Refutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 17 unt; 0 nHn; 20 RR)
% Number of literals : 23 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(533,axiom,
c_lessequals(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w),tc_fun(v,tc_bool)),
file('SWV879-1.p',unknown),
[] ).
cnf(640,axiom,
( ~ c_lessequals(u,v,tc_fun(t_a,tc_bool))
| hBOOL(hAPP(hAPP(v_P,v),u)) ),
file('SWV879-1.p',unknown),
[] ).
cnf(665,axiom,
equal(c_Collect(u,v),u),
file('SWV879-1.p',unknown),
[] ).
cnf(774,axiom,
equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),c_Collect(c_fequal(u,v),v)),
file('SWV879-1.p',unknown),
[] ).
cnf(795,axiom,
equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),u)),w),c_Set_Oinsert(v,w,u)),
file('SWV879-1.p',unknown),
[] ).
cnf(854,axiom,
( ~ hBOOL(c_in(u,v,w))
| equal(c_Set_Oinsert(u,v,w),v) ),
file('SWV879-1.p',unknown),
[] ).
cnf(860,axiom,
( ~ hBOOL(c_in(u,v,w))
| hBOOL(c_in(hAPP(x,u),c_Set_Oimage(x,v,w,y),y)) ),
file('SWV879-1.p',unknown),
[] ).
cnf(911,axiom,
equal(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),v_G),
file('SWV879-1.p',unknown),
[] ).
cnf(912,axiom,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
file('SWV879-1.p',unknown),
[] ).
cnf(913,axiom,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('SWV879-1.p',unknown),
[] ).
cnf(916,plain,
equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),c_fequal(u,v)),
inference(rew,[status(thm),theory(equality)],[665,774]),
[iquote('0:Rew:665.0,774.0')] ).
cnf(932,plain,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_fequal(hAPP(v_mgt__call,v_x),t_a))),
inference(rew,[status(thm),theory(equality)],[911,913,916]),
[iquote('0:Rew:911.0,913.0,916.0,913.0')] ).
cnf(934,plain,
equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_fequal(v,u)),w),c_Set_Oinsert(v,w,u)),
inference(rew,[status(thm),theory(equality)],[916,795]),
[iquote('0:Rew:916.0,795.0')] ).
cnf(1146,plain,
hBOOL(c_in(hAPP(u,v_x),c_Set_Oimage(u,v_U,tc_Com_Opname,v),v)),
inference(res,[status(thm),theory(equality)],[912,860]),
[iquote('0:Res:912.0,860.0')] ).
cnf(1178,plain,
~ c_lessequals(c_fequal(hAPP(v_mgt__call,v_x),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(res,[status(thm),theory(equality)],[640,932]),
[iquote('0:Res:640.1,932.0')] ).
cnf(1830,plain,
hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a)),
inference(spr,[status(thm),theory(equality)],[911,1146]),
[iquote('0:SpR:911.0,1146.0')] ).
cnf(4339,plain,
equal(c_Set_Oinsert(hAPP(v_mgt__call,v_x),v_G,t_a),v_G),
inference(res,[status(thm),theory(equality)],[1830,854]),
[iquote('0:Res:1830.0,854.0')] ).
cnf(12750,plain,
c_lessequals(c_fequal(u,v),c_Set_Oinsert(u,w,v),tc_fun(v,tc_bool)),
inference(spr,[status(thm),theory(equality)],[934,533]),
[iquote('0:SpR:934.0,533.0')] ).
cnf(12764,plain,
c_lessequals(c_fequal(hAPP(v_mgt__call,v_x),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(spr,[status(thm),theory(equality)],[4339,12750]),
[iquote('0:SpR:4339.0,12750.0')] ).
cnf(12768,plain,
$false,
inference(mrr,[status(thm)],[12764,1178]),
[iquote('0:MRR:12764.0,1178.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV879-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 02:00:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.86/3.09
% 2.86/3.09 SPASS V 3.9
% 2.86/3.09 SPASS beiseite: Proof found.
% 2.86/3.09 % SZS status Theorem
% 2.86/3.09 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.86/3.09 SPASS derived 11528 clauses, backtracked 0 clauses, performed 0 splits and kept 2891 clauses.
% 2.86/3.09 SPASS allocated 84079 KBytes.
% 2.86/3.09 SPASS spent 0:00:02.68 on the problem.
% 2.86/3.09 0:00:00.07 for the input.
% 2.86/3.09 0:00:00.00 for the FLOTTER CNF translation.
% 2.86/3.09 0:00:00.12 for inferences.
% 2.86/3.09 0:00:00.00 for the backtracking.
% 2.86/3.09 0:00:02.19 for the reduction.
% 2.86/3.09
% 2.86/3.09
% 2.86/3.09 Here is a proof with depth 4, length 20 :
% 2.86/3.09 % SZS output start Refutation
% See solution above
% 2.86/3.09 Formulae used in the proof : cls_Un__upper1_0 cls_assms_I1_J_0 cls_Collect__def_0 cls_singleton__conv2_0 cls_insert__is__Un_0 cls_insert__absorb_0 cls_imageI_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3
% 2.86/3.09
%------------------------------------------------------------------------------