TSTP Solution File: SYN719-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN719-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 12:23:53 EDT 2022
% Result : Unsatisfiable 6.22s 6.49s
% Output : Refutation 6.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 8 unt; 0 nHn; 16 RR)
% Number of literals : 34 ( 0 equ; 20 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 19 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(38,axiom,
p14(u,u),
file('SYN719-1.p',unknown),
[] ).
cnf(41,axiom,
p66(f12(c78,c77),c79),
file('SYN719-1.p',unknown),
[] ).
cnf(42,axiom,
p67(f16(c80,c81),c82),
file('SYN719-1.p',unknown),
[] ).
cnf(43,axiom,
p70(f30(c88,u),f38(c85,v)),
file('SYN719-1.p',unknown),
[] ).
cnf(45,axiom,
p14(f23(f26(c84,c85),u),u),
file('SYN719-1.p',unknown),
[] ).
cnf(46,axiom,
~ p68(f19(f21(c83,c77),c79),c81),
file('SYN719-1.p',unknown),
[] ).
cnf(52,axiom,
( ~ p70(u,v)
| p69(f36(c86,v),u) ),
file('SYN719-1.p',unknown),
[] ).
cnf(90,axiom,
( ~ p14(u,v)
| ~ p14(u,w)
| p14(w,v) ),
file('SYN719-1.p',unknown),
[] ).
cnf(126,axiom,
( ~ p14(u,f23(f26(c84,v),w))
| ~ p67(f16(c80,w),c82)
| ~ p66(f12(c78,c77),x)
| ~ p69(f36(c86,f38(v,f40(f42(f44(f46(c87,x),u),v),w))),f30(c88,f32(c89,f8(c75,c76))))
| p68(f19(f21(c83,c77),x),u) ),
file('SYN719-1.p',unknown),
[] ).
cnf(209,plain,
( ~ p14(u,v)
| p14(v,u) ),
inference(res,[status(thm),theory(equality)],[38,90]),
[iquote('0:Res:38.0,90.0')] ).
cnf(212,plain,
p14(u,f23(f26(c84,c85),u)),
inference(res,[status(thm),theory(equality)],[45,209]),
[iquote('0:Res:45.0,209.0')] ).
cnf(1194,plain,
( ~ p70(f30(c88,f32(c89,f8(c75,c76))),f38(u,f40(f42(f44(f46(c87,v),w),u),x)))
| ~ p14(w,f23(f26(c84,u),x))
| ~ p67(f16(c80,x),c82)
| ~ p66(f12(c78,c77),v)
| p68(f19(f21(c83,c77),v),w) ),
inference(res,[status(thm),theory(equality)],[52,126]),
[iquote('0:Res:52.1,126.3')] ).
cnf(5560,plain,
( ~ p14(u,f23(f26(c84,c85),v))
| ~ p67(f16(c80,v),c82)
| ~ p66(f12(c78,c77),w)
| p68(f19(f21(c83,c77),w),u) ),
inference(res,[status(thm),theory(equality)],[43,1194]),
[iquote('0:Res:43.0,1194.0')] ).
cnf(15295,plain,
( ~ p67(f16(c80,u),c82)
| ~ p66(f12(c78,c77),v)
| p68(f19(f21(c83,c77),v),u) ),
inference(res,[status(thm),theory(equality)],[212,5560]),
[iquote('0:Res:212.0,5560.0')] ).
cnf(15386,plain,
( ~ p67(f16(c80,c81),c82)
| ~ p66(f12(c78,c77),c79) ),
inference(res,[status(thm),theory(equality)],[15295,46]),
[iquote('0:Res:15295.2,46.0')] ).
cnf(15392,plain,
$false,
inference(mrr,[status(thm)],[15386,42,41]),
[iquote('0:MRR:15386.0,15386.1,42.0,41.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN719-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 16:49:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.22/6.49
% 6.22/6.49 SPASS V 3.9
% 6.22/6.49 SPASS beiseite: Proof found.
% 6.22/6.49 % SZS status Theorem
% 6.22/6.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.22/6.49 SPASS derived 14909 clauses, backtracked 0 clauses, performed 0 splits and kept 3532 clauses.
% 6.22/6.49 SPASS allocated 72254 KBytes.
% 6.22/6.49 SPASS spent 0:00:05.74 on the problem.
% 6.22/6.49 0:00:00.03 for the input.
% 6.22/6.49 0:00:00.00 for the FLOTTER CNF translation.
% 6.22/6.49 0:00:00.17 for inferences.
% 6.22/6.49 0:00:00.00 for the backtracking.
% 6.22/6.49 0:00:05.46 for the reduction.
% 6.22/6.49
% 6.22/6.49
% 6.22/6.49 Here is a proof with depth 4, length 16 :
% 6.22/6.49 % SZS output start Refutation
% See solution above
% 6.22/6.49 Formulae used in the proof : p14_38 p66_41 p67_42 p70_43 p14_45 not_p68_46 p69_52 p14_90 p68_126
% 6.22/6.49
%------------------------------------------------------------------------------