TSTP Solution File: SYN595-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN595-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 12:23:06 EDT 2022
% Result : Unsatisfiable 0.86s 1.04s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 15 RR)
% Number of literals : 30 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p2(u,u),
file('SYN595-1.p',unknown),
[] ).
cnf(2,axiom,
p7(u,u),
file('SYN595-1.p',unknown),
[] ).
cnf(5,axiom,
p14(c18,f3(f4(f5(c17)))),
file('SYN595-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ p14(u,v)
| p15(u,v) ),
file('SYN595-1.p',unknown),
[] ).
cnf(8,axiom,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('SYN595-1.p',unknown),
[] ).
cnf(17,axiom,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('SYN595-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ p15(u,v)
| ~ p2(v,w)
| ~ p2(u,x)
| p15(x,w) ),
file('SYN595-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ p2(u,f3(c17))
| ~ p14(v,f3(f4(f5(c17))))
| ~ p15(w,f6(f3(f4(f5(c17))),c16))
| ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),v),f8(f10(f11(f3(f4(f5(c17)))),u),f9(f11(w),f10(f11(f3(f4(f5(c17)))),c22))))) ),
file('SYN595-1.p',unknown),
[] ).
cnf(190,plain,
( ~ p14(u,v)
| ~ p2(v,w)
| ~ p2(u,x)
| p15(x,w) ),
inference(res,[status(thm),theory(equality)],[6,19]),
[iquote('0:Res:6.1,19.0')] ).
cnf(318,plain,
( ~ p2(f3(c17),f3(c17))
| ~ p14(c18,f3(f4(f5(c17))))
| ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)) ),
inference(res,[status(thm),theory(equality)],[2,26]),
[iquote('0:Res:2.0,26.3')] ).
cnf(320,plain,
~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)),
inference(mrr,[status(thm)],[318,1,5]),
[iquote('0:MRR:318.0,318.1,1.0,5.0')] ).
cnf(690,plain,
( ~ p2(f6(f3(f4(f5(c17))),c16),u)
| ~ p2(c19,v)
| p15(v,u) ),
inference(res,[status(thm),theory(equality)],[8,190]),
[iquote('0:Res:8.0,190.0')] ).
cnf(3212,plain,
( ~ p2(c19,u)
| p15(u,f6(f3(f4(f5(c17))),c16)) ),
inference(res,[status(thm),theory(equality)],[1,690]),
[iquote('0:Res:1.0,690.0')] ).
cnf(3224,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(res,[status(thm),theory(equality)],[3212,320]),
[iquote('0:Res:3212.1,320.0')] ).
cnf(3225,plain,
$false,
inference(mrr,[status(thm)],[3224,17]),
[iquote('0:MRR:3224.0,17.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN595-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n022.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 : Tue Jul 12 04:10:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.86/1.04
% 0.86/1.04 SPASS V 3.9
% 0.86/1.04 SPASS beiseite: Proof found.
% 0.86/1.04 % SZS status Theorem
% 0.86/1.04 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.04 SPASS derived 3036 clauses, backtracked 0 clauses, performed 0 splits and kept 1364 clauses.
% 0.86/1.04 SPASS allocated 65377 KBytes.
% 0.86/1.04 SPASS spent 0:00:00.68 on the problem.
% 0.86/1.04 0:00:00.04 for the input.
% 0.86/1.04 0:00:00.00 for the FLOTTER CNF translation.
% 0.86/1.04 0:00:00.03 for inferences.
% 0.86/1.04 0:00:00.00 for the backtracking.
% 0.86/1.04 0:00:00.58 for the reduction.
% 0.86/1.04
% 0.86/1.04
% 0.86/1.04 Here is a proof with depth 4, length 15 :
% 0.86/1.04 % SZS output start Refutation
% See solution above
% 0.86/1.04 Formulae used in the proof : p2_1 p7_2 p14_5 p15_6 p14_8 p2_17 p15_19 not_p2_26
% 0.86/1.04
%------------------------------------------------------------------------------