TSTP Solution File: SYN578-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN578-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 12:22:59 EDT 2022
% Result : Unsatisfiable 51.82s 52.18s
% Output : Refutation 51.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 9 unt; 3 nHn; 25 RR)
% Number of literals : 59 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
p7(u,u),
file('SYN578-1.p',unknown),
[] ).
cnf(5,axiom,
p9(c12,c13),
file('SYN578-1.p',unknown),
[] ).
cnf(6,axiom,
p11(c14,c15),
file('SYN578-1.p',unknown),
[] ).
cnf(7,axiom,
p2(c16,f5(c14)),
file('SYN578-1.p',unknown),
[] ).
cnf(8,axiom,
p3(f4(f5(u)),f4(u)),
file('SYN578-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ p9(u,c13)
| p9(u,f4(c16)) ),
file('SYN578-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ p2(u,v)
| p3(f4(u),f4(v)) ),
file('SYN578-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ p3(u,v)
| ~ p9(w,u)
| ~ p7(w,x)
| p9(x,v) ),
file('SYN578-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ p11(u,c15)
| ~ p9(c12,v)
| p9(f8(v,u),v)
| p9(f8(v,u),f4(u)) ),
file('SYN578-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ p11(u,c15)
| ~ p9(c12,v)
| ~ p9(f8(v,u),v)
| ~ p9(f8(v,u),f4(u)) ),
file('SYN578-1.p',unknown),
[] ).
cnf(77,plain,
( ~ p9(u,f4(f5(v)))
| ~ p7(u,w)
| p9(w,f4(v)) ),
inference(res,[status(thm),theory(equality)],[8,20]),
[iquote('0:Res:8.0,20.0')] ).
cnf(79,plain,
( ~ p2(u,v)
| ~ p9(w,f4(u))
| ~ p7(w,x)
| p9(x,f4(v)) ),
inference(res,[status(thm),theory(equality)],[14,20]),
[iquote('0:Res:14.1,20.0')] ).
cnf(94,plain,
( ~ p9(c12,u)
| p9(f8(u,c14),u)
| p9(f8(u,c14),f4(c14)) ),
inference(res,[status(thm),theory(equality)],[6,22]),
[iquote('0:Res:6.0,22.0')] ).
cnf(410,plain,
( ~ p9(u,c13)
| ~ p2(c16,v)
| ~ p7(u,w)
| p9(w,f4(v)) ),
inference(res,[status(thm),theory(equality)],[11,79]),
[iquote('0:Res:11.1,79.1')] ).
cnf(800,plain,
( ~ p2(c16,u)
| ~ p7(c12,v)
| p9(v,f4(u)) ),
inference(res,[status(thm),theory(equality)],[5,410]),
[iquote('0:Res:5.0,410.0')] ).
cnf(992,plain,
( ~ p2(c16,f5(u))
| ~ p7(c12,v)
| ~ p7(v,w)
| p9(w,f4(u)) ),
inference(res,[status(thm),theory(equality)],[800,77]),
[iquote('0:Res:800.2,77.0')] ).
cnf(25452,plain,
( ~ p7(c12,u)
| ~ p7(u,v)
| p9(v,f4(c14)) ),
inference(res,[status(thm),theory(equality)],[7,992]),
[iquote('0:Res:7.0,992.0')] ).
cnf(33082,plain,
( ~ p7(c12,u)
| p9(u,f4(c14)) ),
inference(res,[status(thm),theory(equality)],[2,25452]),
[iquote('0:Res:2.0,25452.0')] ).
cnf(33087,plain,
( ~ p7(c12,c12)
| p9(f8(f4(c14),c14),f4(c14))
| p9(f8(f4(c14),c14),f4(c14)) ),
inference(res,[status(thm),theory(equality)],[33082,94]),
[iquote('0:Res:33082.1,94.0')] ).
cnf(33089,plain,
( ~ p7(c12,c12)
| p9(f8(f4(c14),c14),f4(c14)) ),
inference(obv,[status(thm),theory(equality)],[33087]),
[iquote('0:Obv:33087.1')] ).
cnf(33090,plain,
p9(f8(f4(c14),c14),f4(c14)),
inference(mrr,[status(thm)],[33089,2]),
[iquote('0:MRR:33089.0,2.0')] ).
cnf(33404,plain,
( ~ p11(c14,c15)
| ~ p9(c12,f4(c14))
| ~ p9(f8(f4(c14),c14),f4(c14)) ),
inference(res,[status(thm),theory(equality)],[33090,23]),
[iquote('0:Res:33090.0,23.3')] ).
cnf(33408,plain,
~ p9(c12,f4(c14)),
inference(mrr,[status(thm)],[33404,6,33090]),
[iquote('0:MRR:33404.0,33404.2,6.0,33090.0')] ).
cnf(33409,plain,
~ p7(c12,c12),
inference(res,[status(thm),theory(equality)],[33082,33408]),
[iquote('0:Res:33082.1,33408.0')] ).
cnf(33412,plain,
$false,
inference(mrr,[status(thm)],[33409,2]),
[iquote('0:MRR:33409.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SYN578-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.10 % Command : run_spass %d %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Tue Jul 12 00:58:59 EDT 2022
% 0.10/0.31 % CPUTime :
% 51.82/52.18
% 51.82/52.18 SPASS V 3.9
% 51.82/52.18 SPASS beiseite: Proof found.
% 51.82/52.18 % SZS status Theorem
% 51.82/52.18 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.82/52.18 SPASS derived 33303 clauses, backtracked 0 clauses, performed 1 splits and kept 13968 clauses.
% 51.82/52.18 SPASS allocated 80836 KBytes.
% 51.82/52.18 SPASS spent 0:0:51.56 on the problem.
% 51.82/52.18 0:00:00.03 for the input.
% 51.82/52.18 0:00:00.00 for the FLOTTER CNF translation.
% 51.82/52.18 0:00:00.39 for inferences.
% 51.82/52.18 0:00:00.00 for the backtracking.
% 51.82/52.18 0:0:50.76 for the reduction.
% 51.82/52.18
% 51.82/52.18
% 51.82/52.18 Here is a proof with depth 9, length 25 :
% 51.82/52.18 % SZS output start Refutation
% See solution above
% 51.82/52.18 Formulae used in the proof : p7_2 p9_5 p11_6 p2_7 p3_8 p9_11 p3_14 p9_20 p9_22 not_p11_23
% 51.82/52.18
%------------------------------------------------------------------------------