TSTP Solution File: SYN703-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN703-1 : 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 12:23:46 EDT 2022
% Result : Unsatisfiable 33.58s 33.82s
% Output : Refutation 33.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 9 unt; 0 nHn; 19 RR)
% Number of literals : 34 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 16 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
p15(u,u),
file('SYN703-1.p',unknown),
[] ).
cnf(8,axiom,
p2(u,u),
file('SYN703-1.p',unknown),
[] ).
cnf(51,axiom,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
file('SYN703-1.p',unknown),
[] ).
cnf(53,axiom,
( ~ p15(u,v)
| ~ p47(w,u)
| ~ p4(w,x)
| p47(x,v) ),
file('SYN703-1.p',unknown),
[] ).
cnf(60,axiom,
( ~ p3(u,v)
| ~ p2(w,x)
| p4(f5(w,u),f5(x,v)) ),
file('SYN703-1.p',unknown),
[] ).
cnf(74,axiom,
( ~ p47(f5(c48,f8(f11(f13(c49,u),v),w)),x)
| p47(u,x) ),
file('SYN703-1.p',unknown),
[] ).
cnf(75,axiom,
( ~ p47(f20(f22(f24(f26(c56,u),v),w),x),y)
| p47(u,y) ),
file('SYN703-1.p',unknown),
[] ).
cnf(76,axiom,
( ~ p47(u,v)
| p47(f5(c48,f8(f11(f13(c49,u),w),x)),v) ),
file('SYN703-1.p',unknown),
[] ).
cnf(77,axiom,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
file('SYN703-1.p',unknown),
[] ).
cnf(80,axiom,
p3(f16(f18(c54,f8(f11(f13(c49,u),v),w)),x),f8(f11(f13(c49,f20(f22(f24(f26(c56,u),v),w),x)),f30(f32(f34(f36(c57,u),v),w),x)),f40(f42(f44(f46(c58,u),v),w),x))),
file('SYN703-1.p',unknown),
[] ).
cnf(131,plain,
~ p47(c50,c53),
inference(res,[status(thm),theory(equality)],[76,51]),
[iquote('0:Res:76.1,51.0')] ).
cnf(173,plain,
( ~ p47(u,v)
| ~ p4(u,w)
| p47(w,v) ),
inference(res,[status(thm),theory(equality)],[5,53]),
[iquote('0:Res:5.0,53.0')] ).
cnf(174,plain,
( ~ p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),u)
| p47(u,c53) ),
inference(res,[status(thm),theory(equality)],[77,173]),
[iquote('0:Res:77.0,173.0')] ).
cnf(232,plain,
( ~ p3(f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55),u)
| ~ p2(c48,v)
| p47(f5(v,u),c53) ),
inference(res,[status(thm),theory(equality)],[60,174]),
[iquote('0:Res:60.2,174.0')] ).
cnf(403,plain,
( ~ p2(c48,u)
| p47(f5(u,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),c53) ),
inference(res,[status(thm),theory(equality)],[80,232]),
[iquote('0:Res:80.0,232.0')] ).
cnf(13417,plain,
( ~ p2(c48,c48)
| p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53) ),
inference(res,[status(thm),theory(equality)],[403,74]),
[iquote('0:Res:403.1,74.0')] ).
cnf(13419,plain,
p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53),
inference(mrr,[status(thm)],[13417,8]),
[iquote('0:MRR:13417.0,8.0')] ).
cnf(13427,plain,
p47(c50,c53),
inference(res,[status(thm),theory(equality)],[13419,75]),
[iquote('0:Res:13419.0,75.0')] ).
cnf(13434,plain,
$false,
inference(mrr,[status(thm)],[13427,131]),
[iquote('0:MRR:13427.0,131.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN703-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n008.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 11:38:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 33.58/33.82
% 33.58/33.82 SPASS V 3.9
% 33.58/33.82 SPASS beiseite: Proof found.
% 33.58/33.82 % SZS status Theorem
% 33.58/33.82 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.58/33.82 SPASS derived 13336 clauses, backtracked 0 clauses, performed 0 splits and kept 10048 clauses.
% 33.58/33.82 SPASS allocated 84069 KBytes.
% 33.58/33.82 SPASS spent 0:0:33.07 on the problem.
% 33.58/33.82 0:00:00.04 for the input.
% 33.58/33.82 0:00:00.00 for the FLOTTER CNF translation.
% 33.58/33.82 0:00:00.46 for inferences.
% 33.58/33.82 0:00:00.00 for the backtracking.
% 33.58/33.82 0:0:32.14 for the reduction.
% 33.58/33.82
% 33.58/33.82
% 33.58/33.82 Here is a proof with depth 6, length 19 :
% 33.58/33.82 % SZS output start Refutation
% See solution above
% 33.58/33.82 Formulae used in the proof : p15_5 p2_8 not_p47_51 p47_53 p4_60 p47_74 p47_75 p47_76 p47_77 p3_80
% 33.58/33.82
%------------------------------------------------------------------------------