%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV865-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 21:45:26 EDT 2022
% Result : Unsatisfiable 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 4 unt; 7 nHn; 13 RR)
% Number of literals : 28 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(12,axiom,
~ equal(c_Com_Ocom_OSemi(u,v),c_Com_Ocom_OSKIP),
file('SWV865-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ c_Natural_Oevalc(u,v,w)
| ~ c_Natural_Oevalc(u,v,x)
| equal(x,w) ),
file('SWV865-1.p',unknown),
[] ).
cnf(27,axiom,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
file('SWV865-1.p',unknown),
[] ).
cnf(29,axiom,
( equal(u,v_s_H)
| c_Natural_Oevalc(v_c,v_Z,v_Z_H(u)) ),
file('SWV865-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ equal(v_Z_H(u),u)
| equal(u,v_s_H) ),
file('SWV865-1.p',unknown),
[] ).
cnf(78,plain,
( ~ c_Natural_Oevalc(v_c,v_Z,u)
| equal(v,v_s_H)
| equal(u,v_Z_H(v)) ),
inference(res,[status(thm),theory(equality)],[29,15]),
[iquote('0:Res:29.1,15.0')] ).
cnf(90,plain,
( equal(u,v_s_H)
| equal(v,v_s_H)
| equal(v_Z_H(u),v_Z_H(v)) ),
inference(res,[status(thm),theory(equality)],[29,78]),
[iquote('0:Res:29.1,78.0')] ).
cnf(97,plain,
( ~ equal(v_Z_H(u),v)
| equal(v,v_s_H)
| equal(u,v_s_H)
| equal(v,v_s_H) ),
inference(spl,[status(thm),theory(equality)],[90,30]),
[iquote('0:SpL:90.2,30.0')] ).
cnf(103,plain,
( ~ equal(v_Z_H(u),v)
| equal(u,v_s_H)
| equal(v,v_s_H) ),
inference(obv,[status(thm),theory(equality)],[97]),
[iquote('0:Obv:97.1')] ).
cnf(113,plain,
( equal(u,v_s_H)
| equal(v_Z_H(u),v_s_H) ),
inference(eqr,[status(thm),theory(equality)],[103]),
[iquote('0:EqR:103.0')] ).
cnf(118,plain,
( equal(u,v_s_H)
| c_Natural_Oevalc(v_c,v_Z,v_s_H) ),
inference(rew,[status(thm),theory(equality)],[113,29]),
[iquote('0:Rew:113.1,29.1')] ).
cnf(121,plain,
c_Natural_Oevalc(v_c,v_Z,v_s_H),
inference(aed,[status(thm),theory(equality)],[12,118]),
[iquote('0:AED:12.0,118.0')] ).
cnf(122,plain,
$false,
inference(mrr,[status(thm)],[121,27]),
[iquote('0:MRR:121.0,27.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SWV865-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.15 % Command : run_spass %d %s
% 0.14/0.37 % Computer : n021.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Thu Jun 16 02:19:59 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.46
% 0.22/0.46 SPASS V 3.9
% 0.22/0.46 SPASS beiseite: Proof found.
% 0.22/0.46 % SZS status Theorem
% 0.22/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.46 SPASS derived 66 clauses, backtracked 0 clauses, performed 0 splits and kept 55 clauses.
% 0.22/0.46 SPASS allocated 63183 KBytes.
% 0.22/0.46 SPASS spent 0:00:00.07 on the problem.
% 0.22/0.46 0:00:00.04 for the input.
% 0.22/0.46 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.46 0:00:00.00 for inferences.
% 0.22/0.46 0:00:00.00 for the backtracking.
% 0.22/0.46 0:00:00.01 for the reduction.
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 Here is a proof with depth 4, length 13 :
% 0.22/0.46 % SZS output start Refutation
% See solution above
% 0.22/0.46 Formulae used in the proof : cls_com_Osimps_I13_J_0 cls_com__det_0 cls_conjecture_1 cls_conjecture_3 cls_conjecture_4
% 0.22/0.46
%------------------------------------------------------------------------------