TSTP Solution File: SYN554-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN554-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 12:22:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 9 unt; 2 nHn; 21 RR)
% Number of literals : 41 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p2(u,u),
file('SYN554-1.p',unknown),
[] ).
cnf(2,axiom,
~ p4(u,u),
file('SYN554-1.p',unknown),
[] ).
cnf(3,axiom,
~ p2(c6,c7),
file('SYN554-1.p',unknown),
[] ).
cnf(4,axiom,
p2(f3(c5,c6),f3(c5,c7)),
file('SYN554-1.p',unknown),
[] ).
cnf(5,axiom,
( p4(u,v)
| p4(v,u)
| p2(v,u) ),
file('SYN554-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(v,w) ),
file('SYN554-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ p4(u,v)
| p4(f3(c5,u),f3(c5,v)) ),
file('SYN554-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ p2(u,v)
| ~ p4(u,w)
| ~ p2(w,x)
| p4(v,x) ),
file('SYN554-1.p',unknown),
[] ).
cnf(13,plain,
( ~ p2(f3(c5,c6),u)
| p2(f3(c5,c7),u) ),
inference(res,[status(thm),theory(equality)],[4,6]),
[iquote('0:Res:4.0,6.0')] ).
cnf(14,plain,
p2(f3(c5,c7),f3(c5,c6)),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(28,plain,
( ~ p4(f3(c5,c6),u)
| ~ p2(u,v)
| p4(f3(c5,c7),v) ),
inference(res,[status(thm),theory(equality)],[4,8]),
[iquote('0:Res:4.0,8.0')] ).
cnf(29,plain,
( ~ p4(f3(c5,c7),u)
| ~ p2(u,v)
| p4(f3(c5,c6),v) ),
inference(res,[status(thm),theory(equality)],[14,8]),
[iquote('0:Res:14.0,8.0')] ).
cnf(56,plain,
( ~ p4(c6,u)
| ~ p2(f3(c5,u),v)
| p4(f3(c5,c7),v) ),
inference(res,[status(thm),theory(equality)],[7,28]),
[iquote('0:Res:7.1,28.0')] ).
cnf(70,plain,
( ~ p4(c7,u)
| ~ p2(f3(c5,u),v)
| p4(f3(c5,c6),v) ),
inference(res,[status(thm),theory(equality)],[7,29]),
[iquote('0:Res:7.1,29.0')] ).
cnf(73,plain,
( ~ p4(c6,u)
| p4(f3(c5,c7),f3(c5,u)) ),
inference(res,[status(thm),theory(equality)],[1,56]),
[iquote('0:Res:1.0,56.1')] ).
cnf(87,plain,
~ p4(c6,c7),
inference(res,[status(thm),theory(equality)],[73,2]),
[iquote('0:Res:73.1,2.0')] ).
cnf(91,plain,
( p4(c7,c6)
| p2(c6,c7) ),
inference(res,[status(thm),theory(equality)],[5,87]),
[iquote('0:Res:5.1,87.0')] ).
cnf(92,plain,
p4(c7,c6),
inference(mrr,[status(thm)],[91,3]),
[iquote('0:MRR:91.1,3.0')] ).
cnf(109,plain,
( ~ p4(c7,u)
| p4(f3(c5,c6),f3(c5,u)) ),
inference(res,[status(thm),theory(equality)],[1,70]),
[iquote('0:Res:1.0,70.1')] ).
cnf(171,plain,
~ p4(c7,c6),
inference(res,[status(thm),theory(equality)],[109,2]),
[iquote('0:Res:109.1,2.0')] ).
cnf(175,plain,
$false,
inference(mrr,[status(thm)],[171,92]),
[iquote('0:MRR:171.0,92.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN554-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n022.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 : Mon Jul 11 20:33:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 159 clauses, backtracked 0 clauses, performed 0 splits and kept 122 clauses.
% 0.19/0.45 SPASS allocated 63236 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.02 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 6, length 21 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : p2_1 not_p4_2 not_p2_3 p2_4 p2_5 p2_6 p4_7 p4_8
% 0.19/0.45
%------------------------------------------------------------------------------