TSTP Solution File: SYN570-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN570-1 : 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 12:22:56 EDT 2022
% Result : Unsatisfiable 5.17s 5.35s
% Output : Refutation 5.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 22 ( 12 unt; 0 nHn; 22 RR)
% Number of literals : 37 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
p7(u,u),
file('SYN570-1.p',unknown),
[] ).
cnf(4,axiom,
p3(u,u),
file('SYN570-1.p',unknown),
[] ).
cnf(5,axiom,
p2(u,u),
file('SYN570-1.p',unknown),
[] ).
cnf(7,axiom,
p9(c15,f8(c13)),
file('SYN570-1.p',unknown),
[] ).
cnf(8,axiom,
p2(c12,f5(c15)),
file('SYN570-1.p',unknown),
[] ).
cnf(9,axiom,
p3(f4(f5(u)),u),
file('SYN570-1.p',unknown),
[] ).
cnf(10,axiom,
~ p9(f4(c12),f8(c13)),
file('SYN570-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ p2(u,v)
| p3(f4(u),f4(v)) ),
file('SYN570-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN570-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN570-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ p3(u,v)
| ~ p9(u,w)
| ~ p7(w,x)
| p9(v,x) ),
file('SYN570-1.p',unknown),
[] ).
cnf(29,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[5,18]),
[iquote('0:Res:5.0,18.0')] ).
cnf(33,plain,
p2(f5(c15),c12),
inference(res,[status(thm),theory(equality)],[8,29]),
[iquote('0:Res:8.0,29.0')] ).
cnf(43,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[4,17]),
[iquote('0:Res:4.0,17.0')] ).
cnf(44,plain,
( ~ p3(f4(f5(u)),v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[9,17]),
[iquote('0:Res:9.0,17.0')] ).
cnf(76,plain,
( ~ p2(f5(u),v)
| p3(f4(v),u) ),
inference(res,[status(thm),theory(equality)],[13,44]),
[iquote('0:Res:13.1,44.0')] ).
cnf(128,plain,
p3(f4(c12),c15),
inference(res,[status(thm),theory(equality)],[33,76]),
[iquote('0:Res:33.0,76.0')] ).
cnf(132,plain,
p3(c15,f4(c12)),
inference(res,[status(thm),theory(equality)],[128,43]),
[iquote('0:Res:128.0,43.0')] ).
cnf(134,plain,
( ~ p9(c15,u)
| ~ p7(u,v)
| p9(f4(c12),v) ),
inference(res,[status(thm),theory(equality)],[132,19]),
[iquote('0:Res:132.0,19.0')] ).
cnf(27825,plain,
( ~ p7(f8(c13),u)
| p9(f4(c12),u) ),
inference(res,[status(thm),theory(equality)],[7,134]),
[iquote('0:Res:7.0,134.0')] ).
cnf(27828,plain,
~ p7(f8(c13),f8(c13)),
inference(res,[status(thm),theory(equality)],[27825,10]),
[iquote('0:Res:27825.1,10.0')] ).
cnf(27835,plain,
$false,
inference(mrr,[status(thm)],[27828,2]),
[iquote('0:MRR:27828.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN570-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.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 : Tue Jul 12 04:34:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.17/5.35
% 5.17/5.35 SPASS V 3.9
% 5.17/5.35 SPASS beiseite: Proof found.
% 5.17/5.35 % SZS status Theorem
% 5.17/5.35 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.17/5.35 SPASS derived 27791 clauses, backtracked 0 clauses, performed 0 splits and kept 5763 clauses.
% 5.17/5.35 SPASS allocated 75029 KBytes.
% 5.17/5.35 SPASS spent 0:00:04.84 on the problem.
% 5.17/5.35 0:00:00.04 for the input.
% 5.17/5.35 0:00:00.00 for the FLOTTER CNF translation.
% 5.17/5.35 0:00:00.18 for inferences.
% 5.17/5.35 0:00:00.00 for the backtracking.
% 5.17/5.35 0:00:04.55 for the reduction.
% 5.17/5.35
% 5.17/5.35
% 5.17/5.35 Here is a proof with depth 7, length 22 :
% 5.17/5.35 % SZS output start Refutation
% See solution above
% 5.17/5.35 Formulae used in the proof : p7_2 p3_4 p2_5 p9_7 p2_8 p3_9 not_p9_10 p3_13 p3_17 p2_18 p9_19
% 5.17/5.35
%------------------------------------------------------------------------------