TSTP Solution File: SYN574-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN574-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 12:22:58 EDT 2022
% Result : Unsatisfiable 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 31 ( 12 unt; 5 nHn; 31 RR)
% Number of literals : 69 ( 0 equ; 37 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
p7(u,u),
file('SYN574-1.p',unknown),
[] ).
cnf(3,axiom,
p3(u,u),
file('SYN574-1.p',unknown),
[] ).
cnf(4,axiom,
p2(u,u),
file('SYN574-1.p',unknown),
[] ).
cnf(5,axiom,
p9(c12,c13),
file('SYN574-1.p',unknown),
[] ).
cnf(6,axiom,
p11(c14,c15),
file('SYN574-1.p',unknown),
[] ).
cnf(7,axiom,
p3(f4(f5(u)),f4(u)),
file('SYN574-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ p9(u,f4(c14))
| p9(u,c13) ),
file('SYN574-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ p9(u,c13)
| p9(u,f4(c14)) ),
file('SYN574-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN574-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ p3(u,v)
| ~ p9(w,u)
| ~ p7(w,x)
| p9(x,v) ),
file('SYN574-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ p11(u,c15)
| ~ p2(v,f5(u))
| ~ p9(c12,w)
| p9(f8(w,v),w)
| p9(f8(w,v),f4(v)) ),
file('SYN574-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ p11(u,c15)
| ~ p2(v,f5(u))
| ~ p9(c12,w)
| ~ p9(f8(w,v),w)
| ~ p9(f8(w,v),f4(v)) ),
file('SYN574-1.p',unknown),
[] ).
cnf(28,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[3,16]),
[iquote('0:Res:3.0,16.0')] ).
cnf(36,plain,
p3(f4(u),f4(f5(u))),
inference(res,[status(thm),theory(equality)],[7,28]),
[iquote('0:Res:7.0,28.0')] ).
cnf(75,plain,
( ~ p9(u,v)
| ~ p7(u,w)
| p9(w,v) ),
inference(res,[status(thm),theory(equality)],[3,19]),
[iquote('0:Res:3.0,19.0')] ).
cnf(85,plain,
( ~ p9(u,f4(f5(v)))
| ~ p7(u,w)
| p9(w,f4(v)) ),
inference(res,[status(thm),theory(equality)],[7,19]),
[iquote('0:Res:7.0,19.0')] ).
cnf(88,plain,
( ~ p9(u,f4(v))
| ~ p7(u,w)
| p9(w,f4(f5(v))) ),
inference(res,[status(thm),theory(equality)],[36,19]),
[iquote('0:Res:36.0,19.0')] ).
cnf(106,plain,
( ~ p11(u,c15)
| ~ p9(c12,v)
| p9(f8(v,f5(u)),v)
| p9(f8(v,f5(u)),f4(f5(u))) ),
inference(res,[status(thm),theory(equality)],[4,21]),
[iquote('0:Res:4.0,21.1')] ).
cnf(164,plain,
( ~ p9(u,c13)
| ~ p7(u,v)
| p9(v,f4(c14)) ),
inference(res,[status(thm),theory(equality)],[10,75]),
[iquote('0:Res:10.1,75.0')] ).
cnf(435,plain,
( ~ p9(c12,u)
| p9(f8(u,f5(c14)),u)
| p9(f8(u,f5(c14)),f4(f5(c14))) ),
inference(res,[status(thm),theory(equality)],[6,106]),
[iquote('0:Res:6.0,106.0')] ).
cnf(732,plain,
( p9(f8(c13,f5(c14)),c13)
| p9(f8(c13,f5(c14)),f4(f5(c14))) ),
inference(res,[status(thm),theory(equality)],[5,435]),
[iquote('0:Res:5.0,435.0')] ).
cnf(1382,plain,
( ~ p7(f8(c13,f5(c14)),u)
| p9(f8(c13,f5(c14)),c13)
| p9(u,f4(c14)) ),
inference(res,[status(thm),theory(equality)],[732,85]),
[iquote('0:Res:732.1,85.0')] ).
cnf(1386,plain,
( ~ p7(f8(c13,f5(c14)),u)
| p9(u,f4(c14)) ),
inference(mrr,[status(thm)],[1382,164]),
[iquote('0:MRR:1382.1,164.0')] ).
cnf(1387,plain,
p9(f8(c13,f5(c14)),f4(c14)),
inference(res,[status(thm),theory(equality)],[2,1386]),
[iquote('0:Res:2.0,1386.0')] ).
cnf(1390,plain,
p9(f8(c13,f5(c14)),c13),
inference(res,[status(thm),theory(equality)],[1387,9]),
[iquote('0:Res:1387.0,9.0')] ).
cnf(1498,plain,
( ~ p7(f8(c13,f5(c14)),u)
| p9(u,f4(f5(c14))) ),
inference(res,[status(thm),theory(equality)],[1387,88]),
[iquote('0:Res:1387.0,88.0')] ).
cnf(1500,plain,
p9(f8(c13,f5(c14)),f4(f5(c14))),
inference(res,[status(thm),theory(equality)],[2,1498]),
[iquote('0:Res:2.0,1498.0')] ).
cnf(1504,plain,
( ~ p11(u,c15)
| ~ p2(f5(c14),f5(u))
| ~ p9(c12,c13)
| ~ p9(f8(c13,f5(c14)),c13) ),
inference(res,[status(thm),theory(equality)],[1500,22]),
[iquote('0:Res:1500.0,22.4')] ).
cnf(1508,plain,
( ~ p11(u,c15)
| ~ p2(f5(c14),f5(u)) ),
inference(mrr,[status(thm)],[1504,5,1390]),
[iquote('0:MRR:1504.2,1504.3,5.0,1390.0')] ).
cnf(1509,plain,
~ p11(c14,c15),
inference(res,[status(thm),theory(equality)],[4,1508]),
[iquote('0:Res:4.0,1508.1')] ).
cnf(1512,plain,
$false,
inference(mrr,[status(thm)],[1509,6]),
[iquote('0:MRR:1509.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN574-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 17:22:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.53/0.74
% 0.53/0.74 SPASS V 3.9
% 0.53/0.74 SPASS beiseite: Proof found.
% 0.53/0.74 % SZS status Theorem
% 0.53/0.74 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.74 SPASS derived 1483 clauses, backtracked 0 clauses, performed 0 splits and kept 979 clauses.
% 0.53/0.74 SPASS allocated 64081 KBytes.
% 0.53/0.74 SPASS spent 0:00:00.37 on the problem.
% 0.53/0.74 0:00:00.03 for the input.
% 0.53/0.74 0:00:00.00 for the FLOTTER CNF translation.
% 0.53/0.74 0:00:00.02 for inferences.
% 0.53/0.74 0:00:00.00 for the backtracking.
% 0.53/0.74 0:00:00.29 for the reduction.
% 0.53/0.74
% 0.53/0.74
% 0.53/0.74 Here is a proof with depth 9, length 31 :
% 0.53/0.74 % SZS output start Refutation
% See solution above
% 0.53/0.74 Formulae used in the proof : p7_2 p3_3 p2_4 p9_5 p11_6 p3_7 p9_9 p9_10 p3_16 p9_19 p9_21 not_p11_22
% 0.53/0.74
%------------------------------------------------------------------------------