%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN691-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 12:23:41 EDT 2022
% Result : Unsatisfiable 10.84s 11.01s
% Output : Refutation 10.84s
% 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 : 36 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(15,axiom,
p22(u,u),
file('SYN691-1.p',unknown),
[] ).
cnf(17,axiom,
p2(u,u),
file('SYN691-1.p',unknown),
[] ).
cnf(43,axiom,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
file('SYN691-1.p',unknown),
[] ).
cnf(44,axiom,
( ~ p39(f17(f19(f21(c47,u),v),w),x)
| p39(u,x) ),
file('SYN691-1.p',unknown),
[] ).
cnf(45,axiom,
( ~ p22(u,v)
| ~ p4(w,x)
| ~ p39(w,u)
| p39(x,v) ),
file('SYN691-1.p',unknown),
[] ).
cnf(46,axiom,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
file('SYN691-1.p',unknown),
[] ).
cnf(50,axiom,
( ~ p3(u,v)
| ~ p2(w,x)
| p4(f5(w,u),f5(x,v)) ),
file('SYN691-1.p',unknown),
[] ).
cnf(63,axiom,
( ~ p39(f5(c40,f10(f13(f15(c42,u),v),w)),x)
| p39(u,x) ),
file('SYN691-1.p',unknown),
[] ).
cnf(64,axiom,
( ~ p39(u,v)
| p39(f5(c40,f10(f13(f15(c42,u),w),x)),v) ),
file('SYN691-1.p',unknown),
[] ).
cnf(67,axiom,
p3(f7(c41,f10(f13(f15(c42,u),v),w)),f10(f13(f15(c42,f17(f19(f21(c47,u),v),w)),f26(f28(f30(c48,u),v),w)),f34(f36(f38(c49,u),v),w))),
file('SYN691-1.p',unknown),
[] ).
cnf(109,plain,
~ p39(c43,c46),
inference(res,[status(thm),theory(equality)],[64,43]),
[iquote('0:Res:64.1,43.0')] ).
cnf(142,plain,
( ~ p4(u,v)
| ~ p39(u,w)
| p39(v,w) ),
inference(res,[status(thm),theory(equality)],[15,45]),
[iquote('0:Res:15.0,45.0')] ).
cnf(144,plain,
( ~ p3(u,v)
| ~ p2(w,x)
| ~ p39(f5(w,u),y)
| p39(f5(x,v),y) ),
inference(res,[status(thm),theory(equality)],[50,142]),
[iquote('0:Res:50.2,142.0')] ).
cnf(236,plain,
( ~ p3(f7(c41,f10(f13(f15(c42,c43),c44),c45)),u)
| ~ p2(c40,v)
| p39(f5(v,u),c46) ),
inference(res,[status(thm),theory(equality)],[46,144]),
[iquote('0:Res:46.0,144.2')] ).
cnf(320,plain,
( ~ p2(c40,u)
| p39(f5(u,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),c46) ),
inference(res,[status(thm),theory(equality)],[67,236]),
[iquote('0:Res:67.0,236.0')] ).
cnf(7972,plain,
( ~ p2(c40,c40)
| p39(f17(f19(f21(c47,c43),c44),c45),c46) ),
inference(res,[status(thm),theory(equality)],[320,63]),
[iquote('0:Res:320.1,63.0')] ).
cnf(7981,plain,
p39(f17(f19(f21(c47,c43),c44),c45),c46),
inference(mrr,[status(thm)],[7972,17]),
[iquote('0:MRR:7972.0,17.0')] ).
cnf(7988,plain,
p39(c43,c46),
inference(res,[status(thm),theory(equality)],[7981,44]),
[iquote('0:Res:7981.0,44.0')] ).
cnf(8005,plain,
$false,
inference(mrr,[status(thm)],[7988,109]),
[iquote('0:MRR:7988.0,109.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN691-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n013.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 13:19:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 10.84/11.01
% 10.84/11.01 SPASS V 3.9
% 10.84/11.01 SPASS beiseite: Proof found.
% 10.84/11.01 % SZS status Theorem
% 10.84/11.01 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.84/11.01 SPASS derived 7911 clauses, backtracked 0 clauses, performed 0 splits and kept 6211 clauses.
% 10.84/11.01 SPASS allocated 76393 KBytes.
% 10.84/11.01 SPASS spent 0:0:10.53 on the problem.
% 10.84/11.01 0:00:00.04 for the input.
% 10.84/11.01 0:00:00.00 for the FLOTTER CNF translation.
% 10.84/11.01 0:00:00.21 for inferences.
% 10.84/11.01 0:00:00.00 for the backtracking.
% 10.84/11.01 0:0:10.12 for the reduction.
% 10.84/11.01
% 10.84/11.01
% 10.84/11.01 Here is a proof with depth 6, length 19 :
% 10.84/11.01 % SZS output start Refutation
% See solution above
% 10.84/11.01 Formulae used in the proof : p22_15 p2_17 not_p39_43 p39_44 p39_45 p39_46 p4_50 p39_63 p39_64 p3_67
% 10.84/11.01
%------------------------------------------------------------------------------