%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN692-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 : Thu Jul 21 12:23:42 EDT 2022
% Result : Unsatisfiable 23.73s 23.91s
% Output : Refutation 23.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 24 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
p10(u,u),
file('SYN692-1.p',unknown),
[] ).
cnf(12,axiom,
p2(u,u),
file('SYN692-1.p',unknown),
[] ).
cnf(16,axiom,
p2(c44,c45),
file('SYN692-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ p2(u,v)
| p3(f4(u),f4(v)) ),
file('SYN692-1.p',unknown),
[] ).
cnf(39,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN692-1.p',unknown),
[] ).
cnf(51,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('SYN692-1.p',unknown),
[] ).
cnf(52,axiom,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('SYN692-1.p',unknown),
[] ).
cnf(57,axiom,
( ~ p3(u,v)
| ~ p10(w,x)
| p2(f11(u,w),f11(v,x)) ),
file('SYN692-1.p',unknown),
[] ).
cnf(177,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[12,39]),
[iquote('0:Res:12.0,39.0')] ).
cnf(193,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(res,[status(thm),theory(equality)],[51,177]),
[iquote('0:Res:51.0,177.0')] ).
cnf(420,plain,
( ~ p2(f11(f4(c44),c43),u)
| p2(u,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(res,[status(thm),theory(equality)],[193,39]),
[iquote('0:Res:193.0,39.0')] ).
cnf(15942,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(res,[status(thm),theory(equality)],[420,52]),
[iquote('0:Res:420.1,52.0')] ).
cnf(16041,plain,
( ~ p3(f4(c44),f4(c45))
| ~ p10(c43,c43) ),
inference(res,[status(thm),theory(equality)],[57,15942]),
[iquote('0:Res:57.2,15942.0')] ).
cnf(16046,plain,
~ p3(f4(c44),f4(c45)),
inference(mrr,[status(thm)],[16041,7]),
[iquote('0:MRR:16041.1,7.0')] ).
cnf(16089,plain,
~ p2(c44,c45),
inference(res,[status(thm),theory(equality)],[33,16046]),
[iquote('0:Res:33.1,16046.0')] ).
cnf(16095,plain,
$false,
inference(mrr,[status(thm)],[16089,16]),
[iquote('0:MRR:16089.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN692-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n004.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 : Mon Jul 11 12:04:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 23.73/23.91
% 23.73/23.91 SPASS V 3.9
% 23.73/23.91 SPASS beiseite: Proof found.
% 23.73/23.91 % SZS status Theorem
% 23.73/23.91 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.73/23.91 SPASS derived 15858 clauses, backtracked 0 clauses, performed 0 splits and kept 9199 clauses.
% 23.73/23.91 SPASS allocated 86661 KBytes.
% 23.73/23.91 SPASS spent 0:0:23.44 on the problem.
% 23.73/23.91 0:00:00.03 for the input.
% 23.73/23.91 0:00:00.00 for the FLOTTER CNF translation.
% 23.73/23.91 0:00:00.16 for inferences.
% 23.73/23.91 0:00:00.00 for the backtracking.
% 23.73/23.91 0:0:23.07 for the reduction.
% 23.73/23.91
% 23.73/23.91
% 23.73/23.91 Here is a proof with depth 6, length 16 :
% 23.73/23.91 % SZS output start Refutation
% See solution above
% 23.73/23.91 Formulae used in the proof : p10_7 p2_12 p2_16 p3_33 p2_39 p2_51 not_p2_52 p2_57
% 23.73/23.91
%------------------------------------------------------------------------------