%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV905-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 0.41s 0.58s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 12 unt; 1 nHn; 18 RR)
% Number of literals : 28 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(106,axiom,
equal(c_Collect(u,v),u),
file('SWV905-1.p',unknown),
[] ).
cnf(356,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('SWV905-1.p',unknown),
[] ).
cnf(382,axiom,
( ~ hBOOL(c_in(u,c_Map_Odom(v,w,x),w))
| ~ equal(hAPP(v,u),c_Option_Ooption_ONone(x)) ),
file('SWV905-1.p',unknown),
[] ).
cnf(398,axiom,
( c_Com_OWT(c_Com_Ocom_OBODY(u))
| equal(hAPP(c_Com_Obody,u),c_Option_Ooption_ONone(tc_Com_Ocom)) ),
file('SWV905-1.p',unknown),
[] ).
cnf(415,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(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('SWV905-1.p',unknown),
[] ).
cnf(482,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('SWV905-1.p',unknown),
[] ).
cnf(483,axiom,
c_Com_OWT__bodies,
file('SWV905-1.p',unknown),
[] ).
cnf(485,axiom,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
file('SWV905-1.p',unknown),
[] ).
cnf(486,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(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),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('SWV905-1.p',unknown),
[] ).
cnf(491,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)],[106,356]),
[iquote('0:Rew:106.0,356.0')] ).
cnf(509,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_fequal(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(rew,[status(thm),theory(equality)],[491,486]),
[iquote('0:Rew:491.0,486.0')] ).
cnf(524,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)),c_fequal(c_Hoare__Mirabelle_OMGT(u),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(rew,[status(thm),theory(equality)],[491,415]),
[iquote('0:Rew:491.0,415.3')] ).
cnf(525,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)),c_fequal(c_Hoare__Mirabelle_OMGT(u),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(mrr,[status(thm)],[524,483,482]),
[iquote('0:MRR:524.1,524.2,483.0,482.0')] ).
cnf(603,plain,
~ equal(hAPP(c_Com_Obody,v_x),c_Option_Ooption_ONone(tc_Com_Ocom)),
inference(res,[status(thm),theory(equality)],[485,382]),
[iquote('0:Res:485.0,382.1')] ).
cnf(611,plain,
~ c_Com_OWT(c_Com_Ocom_OBODY(v_x)),
inference(res,[status(thm),theory(equality)],[525,509]),
[iquote('0:Res:525.1,509.0')] ).
cnf(648,plain,
( ~ equal(c_Option_Ooption_ONone(tc_Com_Ocom),c_Option_Ooption_ONone(tc_Com_Ocom))
| c_Com_OWT(c_Com_Ocom_OBODY(v_x)) ),
inference(spl,[status(thm),theory(equality)],[398,603]),
[iquote('0:SpL:398.1,603.0')] ).
cnf(649,plain,
c_Com_OWT(c_Com_Ocom_OBODY(v_x)),
inference(obv,[status(thm),theory(equality)],[648]),
[iquote('0:Obv:648.0')] ).
cnf(650,plain,
$false,
inference(mrr,[status(thm)],[649,611]),
[iquote('0:MRR:649.0,611.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV905-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 15 08:28:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.41/0.58
% 0.41/0.58 SPASS V 3.9
% 0.41/0.58 SPASS beiseite: Proof found.
% 0.41/0.58 % SZS status Theorem
% 0.41/0.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58 SPASS derived 74 clauses, backtracked 0 clauses, performed 0 splits and kept 465 clauses.
% 0.41/0.58 SPASS allocated 76781 KBytes.
% 0.41/0.58 SPASS spent 0:00:00.21 on the problem.
% 0.41/0.58 0:00:00.05 for the input.
% 0.41/0.58 0:00:00.00 for the FLOTTER CNF translation.
% 0.41/0.58 0:00:00.00 for inferences.
% 0.41/0.58 0:00:00.00 for the backtracking.
% 0.41/0.58 0:00:00.09 for the reduction.
% 0.41/0.58
% 0.41/0.58
% 0.41/0.58 Here is a proof with depth 2, length 18 :
% 0.41/0.58 % SZS output start Refutation
% See solution above
% 0.41/0.58 Formulae used in the proof : cls_Collect__def_0 cls_singleton__conv2_0 cls_domIff_0 cls_WT_OBody_0 cls_MGF_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_3 cls_conjecture_4
% 0.41/0.58
%------------------------------------------------------------------------------