TSTP Solution File: SYN590-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN590-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 12:23:04 EDT 2022
% Result : Unsatisfiable 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 4 unt; 0 nHn; 18 RR)
% Number of literals : 43 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
p11(c16),
file('SYN590-1.p',unknown),
[] ).
cnf(8,axiom,
p3(f4(c16),f6(c15)),
file('SYN590-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ p11(u)
| p11(f9(u)) ),
file('SYN590-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ p10(f6(u),f6(v))
| p12(u,v) ),
file('SYN590-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ p11(u)
| p3(f4(u),f6(f8(u))) ),
file('SYN590-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ p11(u)
| p10(f4(f9(u)),f4(u)) ),
file('SYN590-1.p',unknown),
[] ).
cnf(25,axiom,
( ~ p11(u)
| ~ p12(v,c15)
| ~ p3(f4(u),f6(v)) ),
file('SYN590-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ p10(u,v)
| ~ p3(v,w)
| ~ p3(u,x)
| p10(x,w) ),
file('SYN590-1.p',unknown),
[] ).
cnf(81,plain,
( ~ p11(u)
| ~ p11(u)
| ~ p12(f8(u),c15) ),
inference(res,[status(thm),theory(equality)],[18,25]),
[iquote('0:Res:18.1,25.2')] ).
cnf(84,plain,
( ~ p11(u)
| ~ p12(f8(u),c15) ),
inference(obv,[status(thm),theory(equality)],[81]),
[iquote('0:Obv:81.0')] ).
cnf(99,plain,
( ~ p11(u)
| ~ p3(f4(u),v)
| ~ p3(f4(f9(u)),w)
| p10(w,v) ),
inference(res,[status(thm),theory(equality)],[19,26]),
[iquote('0:Res:19.1,26.0')] ).
cnf(272,plain,
( ~ p11(f9(u))
| ~ p11(u)
| ~ p3(f4(u),v)
| p10(f6(f8(f9(u))),v) ),
inference(res,[status(thm),theory(equality)],[18,99]),
[iquote('0:Res:18.1,99.2')] ).
cnf(277,plain,
( ~ p11(u)
| ~ p3(f4(u),v)
| p10(f6(f8(f9(u))),v) ),
inference(ssi,[status(thm)],[272,9]),
[iquote('0:SSi:272.0,9.1')] ).
cnf(604,plain,
( ~ p11(u)
| ~ p3(f4(u),f6(v))
| p12(f8(f9(u)),v) ),
inference(res,[status(thm),theory(equality)],[277,11]),
[iquote('0:Res:277.2,11.0')] ).
cnf(2724,plain,
( ~ p11(u)
| ~ p11(f9(u))
| ~ p3(f4(u),f6(c15)) ),
inference(res,[status(thm),theory(equality)],[604,84]),
[iquote('0:Res:604.2,84.1')] ).
cnf(2731,plain,
( ~ p11(u)
| ~ p3(f4(u),f6(c15)) ),
inference(ssi,[status(thm)],[2724,9]),
[iquote('0:SSi:2724.1,9.1')] ).
cnf(2732,plain,
~ p11(c16),
inference(res,[status(thm),theory(equality)],[8,2731]),
[iquote('0:Res:8.0,2731.1')] ).
cnf(2748,plain,
$false,
inference(ssi,[status(thm)],[2732,3]),
[iquote('0:SSi:2732.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN590-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n007.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 17:17:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.74
% 0.57/0.74 SPASS V 3.9
% 0.57/0.74 SPASS beiseite: Proof found.
% 0.57/0.74 % SZS status Theorem
% 0.57/0.74 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.74 SPASS derived 2590 clauses, backtracked 0 clauses, performed 0 splits and kept 1572 clauses.
% 0.57/0.74 SPASS allocated 77217 KBytes.
% 0.57/0.74 SPASS spent 0:00:00.40 on the problem.
% 0.57/0.74 0:00:00.04 for the input.
% 0.57/0.74 0:00:00.00 for the FLOTTER CNF translation.
% 0.57/0.74 0:00:00.03 for inferences.
% 0.57/0.74 0:00:00.00 for the backtracking.
% 0.57/0.74 0:00:00.30 for the reduction.
% 0.57/0.74
% 0.57/0.74
% 0.57/0.74 Here is a proof with depth 5, length 18 :
% 0.57/0.74 % SZS output start Refutation
% See solution above
% 0.57/0.74 Formulae used in the proof : c16_is_p11_3 p3_8 p11_9 p12_11 p3_18 p10_19 not_p11_25 p10_26
% 0.57/0.74
%------------------------------------------------------------------------------