%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN697-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 12:23:44 EDT 2022
% Result : Unsatisfiable 28.00s 28.18s
% Output : Refutation 28.00s
% 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('SYN697-1.p',unknown),
[] ).
cnf(12,axiom,
p2(u,u),
file('SYN697-1.p',unknown),
[] ).
cnf(16,axiom,
p2(c44,c45),
file('SYN697-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ p2(u,v)
| p3(f4(u),f4(v)) ),
file('SYN697-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN697-1.p',unknown),
[] ).
cnf(54,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('SYN697-1.p',unknown),
[] ).
cnf(55,axiom,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('SYN697-1.p',unknown),
[] ).
cnf(61,axiom,
( ~ p3(u,v)
| ~ p10(w,x)
| p2(f11(u,w),f11(v,x)) ),
file('SYN697-1.p',unknown),
[] ).
cnf(174,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[12,41]),
[iquote('0:Res:12.0,41.0')] ).
cnf(191,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(res,[status(thm),theory(equality)],[54,174]),
[iquote('0:Res:54.0,174.0')] ).
cnf(417,plain,
( ~ p2(f11(f4(c44),c43),u)
| p2(u,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(res,[status(thm),theory(equality)],[191,41]),
[iquote('0:Res:191.0,41.0')] ).
cnf(17124,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(res,[status(thm),theory(equality)],[417,55]),
[iquote('0:Res:417.1,55.0')] ).
cnf(17156,plain,
( ~ p3(f4(c44),f4(c45))
| ~ p10(c43,c43) ),
inference(res,[status(thm),theory(equality)],[61,17124]),
[iquote('0:Res:61.2,17124.0')] ).
cnf(17161,plain,
~ p3(f4(c44),f4(c45)),
inference(mrr,[status(thm)],[17156,7]),
[iquote('0:MRR:17156.1,7.0')] ).
cnf(17212,plain,
~ p2(c44,c45),
inference(res,[status(thm),theory(equality)],[30,17161]),
[iquote('0:Res:30.1,17161.0')] ).
cnf(17218,plain,
$false,
inference(mrr,[status(thm)],[17212,16]),
[iquote('0:MRR:17212.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN697-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 23:38:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 28.00/28.18
% 28.00/28.18 SPASS V 3.9
% 28.00/28.18 SPASS beiseite: Proof found.
% 28.00/28.18 % SZS status Theorem
% 28.00/28.18 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.00/28.18 SPASS derived 16957 clauses, backtracked 0 clauses, performed 0 splits and kept 10139 clauses.
% 28.00/28.18 SPASS allocated 87494 KBytes.
% 28.00/28.18 SPASS spent 0:0:27.68 on the problem.
% 28.00/28.18 0:00:00.03 for the input.
% 28.00/28.18 0:00:00.00 for the FLOTTER CNF translation.
% 28.00/28.18 0:00:00.17 for inferences.
% 28.00/28.18 0:00:00.00 for the backtracking.
% 28.00/28.18 0:0:27.28 for the reduction.
% 28.00/28.18
% 28.00/28.18
% 28.00/28.18 Here is a proof with depth 6, length 16 :
% 28.00/28.18 % SZS output start Refutation
% See solution above
% 28.00/28.18 Formulae used in the proof : p10_7 p2_12 p2_16 p3_30 p2_41 p2_54 not_p2_55 p2_61
% 28.00/28.18
%------------------------------------------------------------------------------