TSTP Solution File: SYN580-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN580-1 : 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 12:23:00 EDT 2022
% Result : Unsatisfiable 1.81s 2.06s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 9 unt; 1 nHn; 22 RR)
% Number of literals : 55 ( 0 equ; 34 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
p7(u,u),
file('SYN580-1.p',unknown),
[] ).
cnf(3,axiom,
p4(u,u),
file('SYN580-1.p',unknown),
[] ).
cnf(4,axiom,
p2(u,u),
file('SYN580-1.p',unknown),
[] ).
cnf(5,axiom,
p11(c15,c16),
file('SYN580-1.p',unknown),
[] ).
cnf(6,axiom,
p9(c12,c13),
file('SYN580-1.p',unknown),
[] ).
cnf(7,axiom,
p2(c14,f3(c15)),
file('SYN580-1.p',unknown),
[] ).
cnf(8,axiom,
~ p8(c12,c13,c14),
file('SYN580-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN580-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ p11(u,c16)
| ~ p9(c12,v)
| p8(c12,v,u) ),
file('SYN580-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ p9(c12,u)
| p9(c12,f6(v))
| p8(c12,u,f3(v)) ),
file('SYN580-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ p9(c12,u)
| ~ p8(c12,f6(v),v)
| p8(c12,u,f3(v)) ),
file('SYN580-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ p7(u,v)
| ~ p4(w,x)
| ~ p2(y,z)
| ~ p8(u,w,y)
| p8(v,x,z) ),
file('SYN580-1.p',unknown),
[] ).
cnf(38,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[4,15]),
[iquote('0:Res:4.0,15.0')] ).
cnf(42,plain,
p2(f3(c15),c14),
inference(res,[status(thm),theory(equality)],[7,38]),
[iquote('0:Res:7.0,38.0')] ).
cnf(102,plain,
( ~ p11(u,c16)
| ~ p9(c12,f6(u))
| ~ p9(c12,v)
| p8(c12,v,f3(u)) ),
inference(res,[status(thm),theory(equality)],[16,22]),
[iquote('0:Res:16.2,22.1')] ).
cnf(104,plain,
( ~ p11(u,c16)
| ~ p9(c12,v)
| p8(c12,v,f3(u)) ),
inference(mrr,[status(thm)],[102,18]),
[iquote('0:MRR:102.1,18.1')] ).
cnf(322,plain,
( ~ p11(u,c16)
| ~ p9(c12,v)
| ~ p7(c12,w)
| ~ p4(v,x)
| ~ p2(f3(u),y)
| p8(w,x,y) ),
inference(res,[status(thm),theory(equality)],[104,23]),
[iquote('0:Res:104.2,23.3')] ).
cnf(2001,plain,
( ~ p11(c15,c16)
| ~ p9(c12,u)
| ~ p7(c12,v)
| ~ p4(u,w)
| p8(v,w,c14) ),
inference(res,[status(thm),theory(equality)],[42,322]),
[iquote('0:Res:42.0,322.4')] ).
cnf(2041,plain,
( ~ p9(c12,u)
| ~ p7(c12,v)
| ~ p4(u,w)
| p8(v,w,c14) ),
inference(mrr,[status(thm)],[2001,5]),
[iquote('0:MRR:2001.0,5.0')] ).
cnf(6070,plain,
( ~ p7(c12,u)
| ~ p4(c13,v)
| p8(u,v,c14) ),
inference(res,[status(thm),theory(equality)],[6,2041]),
[iquote('0:Res:6.0,2041.0')] ).
cnf(6237,plain,
( ~ p7(c12,c12)
| ~ p4(c13,c13) ),
inference(res,[status(thm),theory(equality)],[6070,8]),
[iquote('0:Res:6070.2,8.0')] ).
cnf(6240,plain,
$false,
inference(mrr,[status(thm)],[6237,2,3]),
[iquote('0:MRR:6237.0,6237.1,2.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN580-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 05:51:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.81/2.06
% 1.81/2.06 SPASS V 3.9
% 1.81/2.06 SPASS beiseite: Proof found.
% 1.81/2.06 % SZS status Theorem
% 1.81/2.06 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.81/2.06 SPASS derived 5857 clauses, backtracked 2 clauses, performed 2 splits and kept 2813 clauses.
% 1.81/2.06 SPASS allocated 66954 KBytes.
% 1.81/2.06 SPASS spent 0:00:01.66 on the problem.
% 1.81/2.06 0:00:00.03 for the input.
% 1.81/2.06 0:00:00.00 for the FLOTTER CNF translation.
% 1.81/2.06 0:00:00.06 for inferences.
% 1.81/2.06 0:00:00.00 for the backtracking.
% 1.81/2.06 0:00:01.53 for the reduction.
% 1.81/2.06
% 1.81/2.06
% 1.81/2.06 Here is a proof with depth 5, length 22 :
% 1.81/2.06 % SZS output start Refutation
% See solution above
% 1.81/2.06 Formulae used in the proof : p7_2 p4_3 p2_4 p11_5 p9_6 p2_7 not_p8_8 p2_15 p8_16 p9_18 p8_22 p8_23
% 1.81/2.06
%------------------------------------------------------------------------------