TSTP Solution File: SWV906-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV906-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 21:45:33 EDT 2022
% Result : Unsatisfiable 0.40s 0.55s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 15 unt; 1 nHn; 19 RR)
% Number of literals : 27 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(115,axiom,
equal(c_Collect(u,v),u),
file('SWV906-1.p',unknown),
[] ).
cnf(254,axiom,
~ equal(c_Option_Ooption_OSome(u,v),c_Option_Ooption_ONone(v)),
file('SWV906-1.p',unknown),
[] ).
cnf(398,axiom,
equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),c_Collect(hAPP(c_fequal(v),u),v)),
file('SWV906-1.p',unknown),
[] ).
cnf(435,axiom,
equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),c_Option_Oset(c_Option_Ooption_OSome(u,v),v)),
file('SWV906-1.p',unknown),
[] ).
cnf(436,axiom,
( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,u))
| equal(hAPP(c_Com_Obody,u),c_Option_Ooption_ONone(tc_Com_Ocom)) ),
file('SWV906-1.p',unknown),
[] ).
cnf(451,axiom,
( ~ c_Com_OWT(u)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,u),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('SWV906-1.p',unknown),
[] ).
cnf(509,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('SWV906-1.p',unknown),
[] ).
cnf(510,axiom,
c_Com_OWT__bodies,
file('SWV906-1.p',unknown),
[] ).
cnf(512,axiom,
equal(hAPP(c_Com_Obody,v_pn),c_Option_Ooption_OSome(v_y,tc_Com_Ocom)),
file('SWV906-1.p',unknown),
[] ).
cnf(514,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('SWV906-1.p',unknown),
[] ).
cnf(529,plain,
equal(c_Option_Oset(c_Option_Ooption_OSome(u,v),v),hAPP(c_fequal(v),u)),
inference(rew,[status(thm),theory(equality)],[435,398,115]),
[iquote('0:Rew:435.0,398.0,115.0,398.0')] ).
cnf(537,plain,
equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),hAPP(c_fequal(v),u)),
inference(rew,[status(thm),theory(equality)],[529,435]),
[iquote('0:Rew:529.0,435.0')] ).
cnf(559,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),tc_Com_Ostate),
inference(rew,[status(thm),theory(equality)],[537,514]),
[iquote('0:Rew:537.0,514.0')] ).
cnf(569,plain,
( ~ c_Com_OWT(u)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,u)),tc_Com_Ostate) ),
inference(rew,[status(thm),theory(equality)],[537,451]),
[iquote('0:Rew:537.0,451.3')] ).
cnf(570,plain,
( ~ c_Com_OWT(u)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,u)),tc_Com_Ostate) ),
inference(mrr,[status(thm)],[569,510,509]),
[iquote('0:MRR:569.1,569.2,510.0,509.0')] ).
cnf(733,plain,
~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn)),
inference(res,[status(thm),theory(equality)],[570,559]),
[iquote('0:Res:570.1,559.0')] ).
cnf(806,plain,
equal(hAPP(c_Com_Obody,v_pn),c_Option_Ooption_ONone(tc_Com_Ocom)),
inference(sor,[status(thm)],[733,436]),
[iquote('0:SoR:733.0,436.0')] ).
cnf(807,plain,
equal(c_Option_Ooption_OSome(v_y,tc_Com_Ocom),c_Option_Ooption_ONone(tc_Com_Ocom)),
inference(rew,[status(thm),theory(equality)],[512,806]),
[iquote('0:Rew:512.0,806.0')] ).
cnf(808,plain,
$false,
inference(mrr,[status(thm)],[807,254]),
[iquote('0:MRR:807.0,254.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV906-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 20:48:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.40/0.55
% 0.40/0.55 SPASS V 3.9
% 0.40/0.55 SPASS beiseite: Proof found.
% 0.40/0.55 % SZS status Theorem
% 0.40/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.55 SPASS derived 129 clauses, backtracked 0 clauses, performed 0 splits and kept 491 clauses.
% 0.40/0.55 SPASS allocated 76881 KBytes.
% 0.40/0.55 SPASS spent 0:00:00.20 on the problem.
% 0.40/0.55 0:00:00.05 for the input.
% 0.40/0.55 0:00:00.00 for the FLOTTER CNF translation.
% 0.40/0.55 0:00:00.00 for inferences.
% 0.40/0.55 0:00:00.00 for the backtracking.
% 0.40/0.55 0:00:00.08 for the reduction.
% 0.40/0.55
% 0.40/0.55
% 0.40/0.55 Here is a proof with depth 2, length 19 :
% 0.40/0.55 % SZS output start Refutation
% See solution above
% 0.40/0.55 Formulae used in the proof : cls_Collect__def_0 cls_option_Osimps_I2_J_0 cls_singleton__conv2_0 cls_Option_Oset_Osimps_I2_J_0 cls_WT_OBody_0 cls_MGF_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_3 cls_conjecture_5
% 0.40/0.55
%------------------------------------------------------------------------------