%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV824-1 : 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 21:45:17 EDT 2022
% Result : Unsatisfiable 0.38s 0.56s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(636,axiom,
( ~ c_Natural_Oevaln(u,v,w,x)
| c_Natural_Oevaln(u,v,c_Suc(w),x) ),
file('SWV824-1.p',unknown),
[] ).
cnf(698,axiom,
v_fun1(v_x,v_xa),
file('SWV824-1.p',unknown),
[] ).
cnf(699,axiom,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
file('SWV824-1.p',unknown),
[] ).
cnf(700,axiom,
~ v_fun2(v_x,v_xb),
file('SWV824-1.p',unknown),
[] ).
cnf(701,axiom,
( ~ v_fun1(u,v)
| ~ c_Natural_Oevaln(v_com,v,c_Suc(v_n),w)
| v_fun2(u,w) ),
file('SWV824-1.p',unknown),
[] ).
cnf(733,plain,
( ~ v_fun1(v_x,u)
| ~ c_Natural_Oevaln(v_com,u,c_Suc(v_n),v_xb) ),
inference(res,[status(thm),theory(equality)],[701,700]),
[iquote('0:Res:701.2,700.0')] ).
cnf(737,plain,
c_Natural_Oevaln(v_com,v_xa,c_Suc(v_n),v_xb),
inference(res,[status(thm),theory(equality)],[699,636]),
[iquote('0:Res:699.0,636.0')] ).
cnf(746,plain,
~ c_Natural_Oevaln(v_com,v_xa,c_Suc(v_n),v_xb),
inference(res,[status(thm),theory(equality)],[698,733]),
[iquote('0:Res:698.0,733.1')] ).
cnf(756,plain,
$false,
inference(mrr,[status(thm)],[746,737]),
[iquote('0:MRR:746.0,737.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV824-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n012.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 04:19:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/0.56
% 0.38/0.56 SPASS V 3.9
% 0.38/0.56 SPASS beiseite: Proof found.
% 0.38/0.56 % SZS status Theorem
% 0.38/0.56 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.56 SPASS derived 27 clauses, backtracked 0 clauses, performed 0 splits and kept 568 clauses.
% 0.38/0.56 SPASS allocated 76772 KBytes.
% 0.38/0.56 SPASS spent 0:00:00.20 on the problem.
% 0.38/0.56 0:00:00.06 for the input.
% 0.38/0.56 0:00:00.00 for the FLOTTER CNF translation.
% 0.38/0.56 0:00:00.00 for inferences.
% 0.38/0.56 0:00:00.00 for the backtracking.
% 0.38/0.56 0:00:00.08 for the reduction.
% 0.38/0.56
% 0.38/0.56
% 0.38/0.56 Here is a proof with depth 2, length 9 :
% 0.38/0.56 % SZS output start Refutation
% See solution above
% 0.38/0.56 Formulae used in the proof : cls_evaln__Suc_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3
% 0.38/0.56
%------------------------------------------------------------------------------