TSTP Solution File: SYN706-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN706-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 12:23:47 EDT 2022
% Result : Unsatisfiable 0.54s 0.73s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 6 unt; 0 nHn; 15 RR)
% Number of literals : 41 ( 0 equ; 28 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 16 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
p47(u,u),
file('SYN706-1.p',unknown),
[] ).
cnf(11,axiom,
p36(u,u),
file('SYN706-1.p',unknown),
[] ).
cnf(27,axiom,
p45(f20(c52,c50),c58),
file('SYN706-1.p',unknown),
[] ).
cnf(29,axiom,
~ p48(f38(f40(c59,c50),c58),c60),
file('SYN706-1.p',unknown),
[] ).
cnf(57,axiom,
( ~ p37(u,v)
| ~ p48(u,w)
| ~ p47(w,x)
| p48(v,x) ),
file('SYN706-1.p',unknown),
[] ).
cnf(59,axiom,
p7(f8(f11(c54,f14(f17(c55,u),f35(v,u))),v),v),
file('SYN706-1.p',unknown),
[] ).
cnf(67,axiom,
( ~ p7(u,v)
| ~ p36(w,x)
| p37(f38(w,u),f38(x,v)) ),
file('SYN706-1.p',unknown),
[] ).
cnf(78,axiom,
( ~ p45(f20(c52,u),v)
| p46(f23(c53,f35(v,w)),f5(c49,u)) ),
file('SYN706-1.p',unknown),
[] ).
cnf(81,axiom,
( ~ p46(f23(c53,u),f5(c49,c50))
| ~ p45(f20(c52,c50),v)
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),u)),v)),c60) ),
file('SYN706-1.p',unknown),
[] ).
cnf(174,plain,
( ~ p7(u,v)
| ~ p36(w,x)
| ~ p48(f38(w,u),y)
| ~ p47(y,z)
| p48(f38(x,v),z) ),
inference(res,[status(thm),theory(equality)],[67,57]),
[iquote('0:Res:67.2,57.0')] ).
cnf(345,plain,
( ~ p46(f23(c53,u),f5(c49,c50))
| ~ p45(f20(c52,c50),v)
| ~ p7(f8(f11(c54,f14(f17(c55,c61),u)),v),w)
| ~ p36(f40(c59,c50),x)
| ~ p47(c60,y)
| p48(f38(x,w),y) ),
inference(res,[status(thm),theory(equality)],[81,174]),
[iquote('0:Res:81.2,174.2')] ).
cnf(1090,plain,
( ~ p46(f23(c53,f35(u,c61)),f5(c49,c50))
| ~ p45(f20(c52,c50),u)
| ~ p36(f40(c59,c50),v)
| ~ p47(c60,w)
| p48(f38(v,u),w) ),
inference(res,[status(thm),theory(equality)],[59,345]),
[iquote('0:Res:59.0,345.2')] ).
cnf(1102,plain,
( ~ p45(f20(c52,c50),u)
| ~ p36(f40(c59,c50),v)
| ~ p47(c60,w)
| p48(f38(v,u),w) ),
inference(mrr,[status(thm)],[1090,78]),
[iquote('0:MRR:1090.0,78.1')] ).
cnf(1105,plain,
( ~ p45(f20(c52,c50),c58)
| ~ p36(f40(c59,c50),f40(c59,c50))
| ~ p47(c60,c60) ),
inference(res,[status(thm),theory(equality)],[1102,29]),
[iquote('0:Res:1102.3,29.0')] ).
cnf(1108,plain,
$false,
inference(mrr,[status(thm)],[1105,27,11,5]),
[iquote('0:MRR:1105.0,1105.1,1105.2,27.0,11.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN706-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 05:09:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.54/0.73
% 0.54/0.73 SPASS V 3.9
% 0.54/0.73 SPASS beiseite: Proof found.
% 0.54/0.73 % SZS status Theorem
% 0.54/0.73 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.73 SPASS derived 1009 clauses, backtracked 0 clauses, performed 0 splits and kept 843 clauses.
% 0.54/0.73 SPASS allocated 64755 KBytes.
% 0.54/0.73 SPASS spent 0:00:00.37 on the problem.
% 0.54/0.73 0:00:00.03 for the input.
% 0.54/0.73 0:00:00.00 for the FLOTTER CNF translation.
% 0.54/0.73 0:00:00.02 for inferences.
% 0.54/0.73 0:00:00.00 for the backtracking.
% 0.54/0.73 0:00:00.28 for the reduction.
% 0.54/0.73
% 0.54/0.73
% 0.54/0.73 Here is a proof with depth 4, length 15 :
% 0.54/0.73 % SZS output start Refutation
% See solution above
% 0.54/0.73 Formulae used in the proof : p47_5 p36_11 p45_27 not_p48_29 p48_57 p7_59 p37_67 p46_78 p48_81
% 0.54/0.73
%------------------------------------------------------------------------------