TSTP Solution File: SYN718-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN718-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 3.72s 3.90s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 8 unt; 0 nHn; 19 RR)
% Number of literals : 42 ( 0 equ; 26 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(23,axiom,
p25(u,u),
file('SYN718-1.p',unknown),
[] ).
cnf(26,axiom,
p20(u,u),
file('SYN718-1.p',unknown),
[] ).
cnf(36,axiom,
p3(c84,f10(c72,c73)),
file('SYN718-1.p',unknown),
[] ).
cnf(72,axiom,
( ~ p57(f26(u,v),w)
| p57(f26(f30(c85,u),v),w) ),
file('SYN718-1.p',unknown),
[] ).
cnf(76,axiom,
( ~ p21(u,v)
| ~ p57(w,u)
| ~ p25(w,x)
| p57(x,v) ),
file('SYN718-1.p',unknown),
[] ).
cnf(80,axiom,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
file('SYN718-1.p',unknown),
[] ).
cnf(81,axiom,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
file('SYN718-1.p',unknown),
[] ).
cnf(101,axiom,
( ~ p3(u,v)
| ~ p20(w,x)
| p21(f22(w,u),f22(x,v)) ),
file('SYN718-1.p',unknown),
[] ).
cnf(105,axiom,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
file('SYN718-1.p',unknown),
[] ).
cnf(107,axiom,
( ~ p57(f26(f30(c85,u),v),w)
| ~ p57(f26(f30(c85,u),x),v)
| p57(f26(f30(c85,u),x),w) ),
file('SYN718-1.p',unknown),
[] ).
cnf(329,plain,
( ~ p3(u,v)
| ~ p20(w,x)
| ~ p57(y,f22(w,u))
| ~ p25(y,z)
| p57(z,f22(x,v)) ),
inference(res,[status(thm),theory(equality)],[101,76]),
[iquote('0:Res:101.2,76.0')] ).
cnf(355,plain,
( ~ p57(f26(u,v),w)
| ~ p57(f26(f30(c85,u),x),v)
| p57(f26(f30(c85,u),x),w) ),
inference(res,[status(thm),theory(equality)],[72,107]),
[iquote('0:Res:72.1,107.0')] ).
cnf(748,plain,
( ~ p57(f26(u,v),w)
| ~ p57(f26(u,w),x)
| p57(f26(f30(c85,u),v),x) ),
inference(res,[status(thm),theory(equality)],[72,355]),
[iquote('0:Res:72.1,355.1')] ).
cnf(749,plain,
( ~ p57(f26(c70,f22(f24(c71,c81),c82)),u)
| p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),u) ),
inference(res,[status(thm),theory(equality)],[81,748]),
[iquote('0:Res:81.0,748.0')] ).
cnf(857,plain,
~ p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),f10(c72,c73))),
inference(res,[status(thm),theory(equality)],[749,105]),
[iquote('0:Res:749.1,105.0')] ).
cnf(890,plain,
( ~ p3(c84,u)
| ~ p20(f24(c71,c83),v)
| ~ p25(f26(c70,f22(f24(c71,c81),c82)),w)
| p57(w,f22(v,u)) ),
inference(res,[status(thm),theory(equality)],[80,329]),
[iquote('0:Res:80.0,329.2')] ).
cnf(2220,plain,
( ~ p3(c84,u)
| ~ p20(f24(c71,c83),v)
| p57(f26(c70,f22(f24(c71,c81),c82)),f22(v,u)) ),
inference(res,[status(thm),theory(equality)],[23,890]),
[iquote('0:Res:23.0,890.2')] ).
cnf(8305,plain,
( ~ p3(c84,f10(c72,c73))
| ~ p20(f24(c71,c83),f24(c71,c83)) ),
inference(res,[status(thm),theory(equality)],[2220,857]),
[iquote('0:Res:2220.2,857.0')] ).
cnf(8336,plain,
$false,
inference(mrr,[status(thm)],[8305,36,26]),
[iquote('0:MRR:8305.0,8305.1,36.0,26.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN718-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 12:08:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.72/3.90
% 3.72/3.90 SPASS V 3.9
% 3.72/3.90 SPASS beiseite: Proof found.
% 3.72/3.90 % SZS status Theorem
% 3.72/3.90 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.72/3.90 SPASS derived 7337 clauses, backtracked 0 clauses, performed 5 splits and kept 4219 clauses.
% 3.72/3.90 SPASS allocated 71282 KBytes.
% 3.72/3.90 SPASS spent 0:00:03.41 on the problem.
% 3.72/3.90 0:00:00.04 for the input.
% 3.72/3.90 0:00:00.00 for the FLOTTER CNF translation.
% 3.72/3.90 0:00:00.13 for inferences.
% 3.72/3.90 0:00:00.11 for the backtracking.
% 3.72/3.90 0:00:03.05 for the reduction.
% 3.72/3.90
% 3.72/3.90
% 3.72/3.90 Here is a proof with depth 5, length 19 :
% 3.72/3.90 % SZS output start Refutation
% See solution above
% 3.72/3.90 Formulae used in the proof : p25_23 p20_26 p3_36 p57_72 p57_76 p57_80 p57_81 p21_101 not_p57_105 p57_107
% 3.72/3.90
%------------------------------------------------------------------------------