TSTP Solution File: SYN603-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN603-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 12:23:09 EDT 2022
% Result : Unsatisfiable 247.55s 247.80s
% Output : Refutation 247.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 15 RR)
% Number of literals : 30 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
p2(u,u),
file('SYN603-1.p',unknown),
[] ).
cnf(3,axiom,
p15(c22,c21),
file('SYN603-1.p',unknown),
[] ).
cnf(5,axiom,
p2(c22,f9(c20,c23)),
file('SYN603-1.p',unknown),
[] ).
cnf(6,axiom,
p2(f3(f4(c16)),c17),
file('SYN603-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN603-1.p',unknown),
[] ).
cnf(19,axiom,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
file('SYN603-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ p2(u,v)
| ~ p2(w,x)
| p2(f6(w,u),f6(x,v)) ),
file('SYN603-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ p15(u,c21)
| ~ p2(u,f9(c20,v))
| ~ p2(f7(f8(c21,u),c20),f6(f5(f4(c16)),c17)) ),
file('SYN603-1.p',unknown),
[] ).
cnf(42,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[2,14]),
[iquote('0:Res:2.0,14.0')] ).
cnf(75,plain,
p2(f6(f5(f4(c16)),f3(f4(c16))),f7(f8(c21,c22),c20)),
inference(res,[status(thm),theory(equality)],[19,42]),
[iquote('0:Res:19.0,42.0')] ).
cnf(129,plain,
( ~ p2(u,v)
| ~ p2(w,x)
| ~ p2(f6(w,u),y)
| p2(y,f6(x,v)) ),
inference(res,[status(thm),theory(equality)],[21,14]),
[iquote('0:Res:21.2,14.0')] ).
cnf(1168,plain,
( ~ p2(f3(f4(c16)),u)
| ~ p2(f5(f4(c16)),v)
| p2(f7(f8(c21,c22),c20),f6(v,u)) ),
inference(res,[status(thm),theory(equality)],[75,129]),
[iquote('0:Res:75.0,129.2')] ).
cnf(37850,plain,
( ~ p2(f3(f4(c16)),c17)
| ~ p2(f5(f4(c16)),f5(f4(c16)))
| ~ p15(c22,c21)
| ~ p2(c22,f9(c20,u)) ),
inference(res,[status(thm),theory(equality)],[1168,26]),
[iquote('0:Res:1168.2,26.2')] ).
cnf(37860,plain,
~ p2(c22,f9(c20,u)),
inference(mrr,[status(thm)],[37850,6,2,3]),
[iquote('0:MRR:37850.0,37850.1,37850.2,6.0,2.0,3.0')] ).
cnf(37861,plain,
$false,
inference(unc,[status(thm)],[37860,5]),
[iquote('0:UnC:37860.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN603-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.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 : Tue Jul 12 07:50:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 247.55/247.80
% 247.55/247.80 SPASS V 3.9
% 247.55/247.80 SPASS beiseite: Proof found.
% 247.55/247.80 % SZS status Theorem
% 247.55/247.80 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 247.55/247.80 SPASS derived 37598 clauses, backtracked 0 clauses, performed 0 splits and kept 30299 clauses.
% 247.55/247.80 SPASS allocated 101590 KBytes.
% 247.55/247.80 SPASS spent 0:04:06.65 on the problem.
% 247.55/247.80 0:00:00.03 for the input.
% 247.55/247.80 0:00:00.00 for the FLOTTER CNF translation.
% 247.55/247.80 0:00:00.39 for inferences.
% 247.55/247.80 0:00:00.00 for the backtracking.
% 247.55/247.80 0:04:05.85 for the reduction.
% 247.55/247.80
% 247.55/247.80
% 247.55/247.80 Here is a proof with depth 4, length 15 :
% 247.55/247.80 % SZS output start Refutation
% See solution above
% 247.55/247.80 Formulae used in the proof : p2_2 p15_3 p2_5 p2_6 p2_14 p2_19 p2_21 not_p15_26
% 247.55/247.80
%------------------------------------------------------------------------------