TSTP Solution File: SYN569-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN569-1 : 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 12:22:56 EDT 2022
% Result : Unsatisfiable 2.87s 3.09s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 22 ( 7 unt; 0 nHn; 22 RR)
% Number of literals : 52 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p2(u,u),
file('SYN569-1.p',unknown),
[] ).
cnf(3,axiom,
p8(c14,c12),
file('SYN569-1.p',unknown),
[] ).
cnf(5,axiom,
p8(c11,c14),
file('SYN569-1.p',unknown),
[] ).
cnf(6,axiom,
p9(c13,c15,c14),
file('SYN569-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ p8(u,v)
| p10(u,v) ),
file('SYN569-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN569-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ p9(u,v,w)
| ~ p9(u,x,w)
| p2(x,v) ),
file('SYN569-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ p10(u,c12)
| ~ p10(c11,u)
| p9(c13,f3(u),u) ),
file('SYN569-1.p',unknown),
[] ).
cnf(15,axiom,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('SYN569-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ p2(u,v)
| ~ p2(w,x)
| p2(f4(w,u),f4(x,v)) ),
file('SYN569-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ p8(u,c12)
| ~ p8(c11,u)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(u))) ),
file('SYN569-1.p',unknown),
[] ).
cnf(22,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(29,plain,
p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
inference(res,[status(thm),theory(equality)],[15,22]),
[iquote('0:Res:15.0,22.0')] ).
cnf(44,plain,
( ~ p9(c13,u,c14)
| p2(u,c15) ),
inference(res,[status(thm),theory(equality)],[6,11]),
[iquote('0:Res:6.0,11.0')] ).
cnf(47,plain,
( ~ p10(c14,c12)
| ~ p10(c11,c14)
| p2(f3(c14),c15) ),
inference(res,[status(thm),theory(equality)],[12,44]),
[iquote('0:Res:12.2,44.0')] ).
cnf(49,plain,
( ~ p10(c14,c12)
| ~ p10(c11,c14)
| p2(c15,f3(c14)) ),
inference(res,[status(thm),theory(equality)],[47,22]),
[iquote('0:Res:47.2,22.0')] ).
cnf(134,plain,
( ~ p2(u,v)
| ~ p2(w,x)
| ~ p2(f4(w,u),y)
| p2(y,f4(x,v)) ),
inference(res,[status(thm),theory(equality)],[16,10]),
[iquote('0:Res:16.2,10.0')] ).
cnf(671,plain,
( ~ p2(c15,u)
| ~ p2(f5(c12,c11),v)
| p2(f5(f7(c13,c12),f7(c13,c11)),f4(v,u)) ),
inference(res,[status(thm),theory(equality)],[29,134]),
[iquote('0:Res:29.0,134.2')] ).
cnf(4201,plain,
( ~ p2(c15,f3(u))
| ~ p2(f5(c12,c11),f5(c12,c11))
| ~ p8(u,c12)
| ~ p8(c11,u) ),
inference(res,[status(thm),theory(equality)],[671,20]),
[iquote('0:Res:671.2,20.2')] ).
cnf(4207,plain,
( ~ p2(c15,f3(u))
| ~ p8(u,c12)
| ~ p8(c11,u) ),
inference(mrr,[status(thm)],[4201,1]),
[iquote('0:MRR:4201.1,1.0')] ).
cnf(4211,plain,
( ~ p10(c14,c12)
| ~ p10(c11,c14)
| ~ p8(c14,c12)
| ~ p8(c11,c14) ),
inference(res,[status(thm),theory(equality)],[49,4207]),
[iquote('0:Res:49.2,4207.0')] ).
cnf(4217,plain,
$false,
inference(mrr,[status(thm)],[4211,7,3,5]),
[iquote('0:MRR:4211.0,4211.1,4211.2,4211.3,7.1,7.1,3.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN569-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % 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 20:57:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.87/3.09
% 2.87/3.09 SPASS V 3.9
% 2.87/3.09 SPASS beiseite: Proof found.
% 2.87/3.09 % SZS status Theorem
% 2.87/3.09 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.87/3.09 SPASS derived 4143 clauses, backtracked 0 clauses, performed 0 splits and kept 2107 clauses.
% 2.87/3.09 SPASS allocated 66562 KBytes.
% 2.87/3.09 SPASS spent 0:00:02.71 on the problem.
% 2.87/3.09 0:00:00.03 for the input.
% 2.87/3.09 0:00:00.00 for the FLOTTER CNF translation.
% 2.87/3.09 0:00:00.06 for inferences.
% 2.87/3.09 0:00:00.00 for the backtracking.
% 2.87/3.09 0:00:02.59 for the reduction.
% 2.87/3.09
% 2.87/3.09
% 2.87/3.09 Here is a proof with depth 5, length 22 :
% 2.87/3.09 % SZS output start Refutation
% See solution above
% 2.87/3.09 Formulae used in the proof : p2_1 p8_3 p8_5 p9_6 p10_7 p2_10 p2_11 p9_12 p2_15 p2_16 not_p8_20
% 2.87/3.09
%------------------------------------------------------------------------------