%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN627-1 : 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 12:23:18 EDT 2022
% Result : Unsatisfiable 2.87s 3.10s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 10 unt; 0 nHn; 30 RR)
% Number of literals : 62 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
p3(u,u),
file('SYN627-1.p',unknown),
[] ).
cnf(6,axiom,
p2(u,u),
file('SYN627-1.p',unknown),
[] ).
cnf(7,axiom,
p15(c18,c19),
file('SYN627-1.p',unknown),
[] ).
cnf(8,axiom,
~ p3(c23,c24),
file('SYN627-1.p',unknown),
[] ).
cnf(9,axiom,
p3(c23,f4(f7(c17,c18),c21)),
file('SYN627-1.p',unknown),
[] ).
cnf(10,axiom,
p16(c17,c20,f9(c19,c18),c21,c22),
file('SYN627-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN627-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ p15(u,c19)
| p3(c24,f4(f7(c17,u),f14(u))) ),
file('SYN627-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ p15(u,c19)
| p16(c17,c20,f9(c19,u),f14(u),c25) ),
file('SYN627-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ p3(u,v)
| ~ p2(w,x)
| p3(f4(w,u),f4(x,v)) ),
file('SYN627-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ p16(c17,c20,u,v,w)
| ~ p16(c17,c20,u,x,c22)
| p3(x,v) ),
file('SYN627-1.p',unknown),
[] ).
cnf(51,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[5,18]),
[iquote('0:Res:5.0,18.0')] ).
cnf(56,plain,
p3(f4(f7(c17,c18),c21),c23),
inference(res,[status(thm),theory(equality)],[9,51]),
[iquote('0:Res:9.0,51.0')] ).
cnf(60,plain,
( ~ p3(f4(f7(c17,c18),c21),u)
| p3(u,c23) ),
inference(res,[status(thm),theory(equality)],[56,18]),
[iquote('0:Res:56.0,18.0')] ).
cnf(75,plain,
( ~ p15(u,c19)
| p3(f4(f7(c17,u),f14(u)),c24) ),
inference(res,[status(thm),theory(equality)],[20,51]),
[iquote('0:Res:20.1,51.0')] ).
cnf(76,plain,
( ~ p15(u,c19)
| ~ p3(c24,v)
| p3(v,f4(f7(c17,u),f14(u))) ),
inference(res,[status(thm),theory(equality)],[20,18]),
[iquote('0:Res:20.1,18.0')] ).
cnf(80,plain,
( ~ p15(u,c19)
| ~ p3(f4(f7(c17,u),f14(u)),v)
| p3(v,c24) ),
inference(res,[status(thm),theory(equality)],[75,18]),
[iquote('0:Res:75.1,18.0')] ).
cnf(118,plain,
( ~ p3(c21,u)
| ~ p2(f7(c17,c18),v)
| p3(f4(v,u),c23) ),
inference(res,[status(thm),theory(equality)],[27,60]),
[iquote('0:Res:27.2,60.0')] ).
cnf(145,plain,
( ~ p15(u,c19)
| ~ p16(c17,c20,f9(c19,u),v,c22)
| p3(v,f14(u)) ),
inference(res,[status(thm),theory(equality)],[23,28]),
[iquote('0:Res:23.1,28.0')] ).
cnf(455,plain,
( ~ p15(u,c19)
| ~ p3(c24,v)
| ~ p3(v,w)
| p3(w,f4(f7(c17,u),f14(u))) ),
inference(res,[status(thm),theory(equality)],[76,18]),
[iquote('0:Res:76.2,18.0')] ).
cnf(501,plain,
( ~ p15(c18,c19)
| p3(c21,f14(c18)) ),
inference(res,[status(thm),theory(equality)],[10,145]),
[iquote('0:Res:10.0,145.1')] ).
cnf(504,plain,
p3(c21,f14(c18)),
inference(mrr,[status(thm)],[501,7]),
[iquote('0:MRR:501.0,7.0')] ).
cnf(1706,plain,
( ~ p3(c24,u)
| ~ p3(u,v)
| p3(v,f4(f7(c17,c18),f14(c18))) ),
inference(res,[status(thm),theory(equality)],[7,455]),
[iquote('0:Res:7.0,455.0')] ).
cnf(7475,plain,
( ~ p3(c24,u)
| p3(u,f4(f7(c17,c18),f14(c18))) ),
inference(res,[status(thm),theory(equality)],[5,1706]),
[iquote('0:Res:5.0,1706.0')] ).
cnf(7717,plain,
( ~ p3(c24,f4(f7(c17,u),f14(u)))
| ~ p15(u,c19)
| p3(f4(f7(c17,c18),f14(c18)),c24) ),
inference(res,[status(thm),theory(equality)],[7475,80]),
[iquote('0:Res:7475.1,80.1')] ).
cnf(7727,plain,
( ~ p15(u,c19)
| p3(f4(f7(c17,c18),f14(c18)),c24) ),
inference(mrr,[status(thm)],[7717,20]),
[iquote('0:MRR:7717.0,20.1')] ).
cnf(7729,plain,
p3(f4(f7(c17,c18),f14(c18)),c24),
inference(res,[status(thm),theory(equality)],[7,7727]),
[iquote('0:Res:7.0,7727.0')] ).
cnf(7734,plain,
( ~ p3(f4(f7(c17,c18),f14(c18)),u)
| p3(u,c24) ),
inference(res,[status(thm),theory(equality)],[7729,18]),
[iquote('0:Res:7729.0,18.0')] ).
cnf(7757,plain,
( ~ p3(c21,f14(c18))
| ~ p2(f7(c17,c18),f7(c17,c18))
| p3(c23,c24) ),
inference(res,[status(thm),theory(equality)],[118,7734]),
[iquote('0:Res:118.2,7734.0')] ).
cnf(7770,plain,
$false,
inference(mrr,[status(thm)],[7757,504,6,8]),
[iquote('0:MRR:7757.0,7757.1,7757.2,504.0,6.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN627-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.12 % 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 00:54:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.87/3.10
% 2.87/3.10 SPASS V 3.9
% 2.87/3.10 SPASS beiseite: Proof found.
% 2.87/3.10 % SZS status Theorem
% 2.87/3.10 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.87/3.10 SPASS derived 7286 clauses, backtracked 0 clauses, performed 1 splits and kept 3544 clauses.
% 2.87/3.10 SPASS allocated 68914 KBytes.
% 2.87/3.10 SPASS spent 0:00:02.73 on the problem.
% 2.87/3.10 0:00:00.04 for the input.
% 2.87/3.10 0:00:00.00 for the FLOTTER CNF translation.
% 2.87/3.10 0:00:00.09 for inferences.
% 2.87/3.10 0:00:00.00 for the backtracking.
% 2.87/3.10 0:00:02.55 for the reduction.
% 2.87/3.10
% 2.87/3.10
% 2.87/3.10 Here is a proof with depth 8, length 30 :
% 2.87/3.10 % SZS output start Refutation
% See solution above
% 2.87/3.10 Formulae used in the proof : p3_5 p2_6 p15_7 not_p3_8 p3_9 p16_10 p3_18 p3_20 p16_23 p3_27 p3_28
% 2.87/3.10
%------------------------------------------------------------------------------