%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN717-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 12:23:52 EDT 2022
% Result : Unsatisfiable 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 15 RR)
% Number of literals : 27 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(28,axiom,
p22(u,u),
file('SYN717-1.p',unknown),
[] ).
cnf(29,axiom,
p20(u,u),
file('SYN717-1.p',unknown),
[] ).
cnf(36,axiom,
p23(c79,c77),
file('SYN717-1.p',unknown),
[] ).
cnf(42,axiom,
p60(f25(c75,c79),f21(c76,c78)),
file('SYN717-1.p',unknown),
[] ).
cnf(44,axiom,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
file('SYN717-1.p',unknown),
[] ).
cnf(84,axiom,
( ~ p20(u,v)
| ~ p60(w,u)
| ~ p24(w,x)
| p60(x,v) ),
file('SYN717-1.p',unknown),
[] ).
cnf(94,axiom,
( ~ p23(u,v)
| ~ p22(w,x)
| p24(f25(w,u),f25(x,v)) ),
file('SYN717-1.p',unknown),
[] ).
cnf(107,axiom,
( ~ p60(f25(c75,u),f21(c76,v))
| ~ p59(f29(c73,f31(f33(c74,u),w)),c72)
| ~ p59(f29(c73,f31(f33(c74,x),v)),c72) ),
file('SYN717-1.p',unknown),
[] ).
cnf(299,plain,
( ~ p60(u,v)
| ~ p24(u,w)
| p60(w,v) ),
inference(res,[status(thm),theory(equality)],[29,84]),
[iquote('0:Res:29.0,84.0')] ).
cnf(304,plain,
( ~ p24(f25(c75,c79),u)
| p60(u,f21(c76,c78)) ),
inference(res,[status(thm),theory(equality)],[42,299]),
[iquote('0:Res:42.0,299.0')] ).
cnf(349,plain,
( ~ p60(f25(c75,c77),f21(c76,u))
| ~ p59(f29(c73,f31(f33(c74,v),u)),c72) ),
inference(res,[status(thm),theory(equality)],[44,107]),
[iquote('0:Res:44.0,107.1')] ).
cnf(411,plain,
~ p60(f25(c75,c77),f21(c76,c78)),
inference(res,[status(thm),theory(equality)],[44,349]),
[iquote('0:Res:44.0,349.1')] ).
cnf(413,plain,
~ p24(f25(c75,c79),f25(c75,c77)),
inference(res,[status(thm),theory(equality)],[304,411]),
[iquote('0:Res:304.1,411.0')] ).
cnf(414,plain,
( ~ p23(c79,c77)
| ~ p22(c75,c75) ),
inference(res,[status(thm),theory(equality)],[94,413]),
[iquote('0:Res:94.2,413.0')] ).
cnf(415,plain,
$false,
inference(mrr,[status(thm)],[414,36,28]),
[iquote('0:MRR:414.0,414.1,36.0,28.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN717-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 12 06:59:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47
% 0.20/0.47 SPASS V 3.9
% 0.20/0.47 SPASS beiseite: Proof found.
% 0.20/0.47 % SZS status Theorem
% 0.20/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 SPASS derived 294 clauses, backtracked 0 clauses, performed 0 splits and kept 281 clauses.
% 0.20/0.47 SPASS allocated 63568 KBytes.
% 0.20/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.20/0.47 0:00:00.04 for the input.
% 0.20/0.47 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.47 0:00:00.01 for inferences.
% 0.20/0.47 0:00:00.00 for the backtracking.
% 0.20/0.47 0:00:00.04 for the reduction.
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 Here is a proof with depth 4, length 15 :
% 0.20/0.47 % SZS output start Refutation
% See solution above
% 0.20/0.47 Formulae used in the proof : p22_28 p20_29 p23_36 p60_42 p59_44 p60_84 p24_94 not_p60_107
% 0.20/0.47
%------------------------------------------------------------------------------