TSTP Solution File: SYN077+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN077+1 : TPTP v8.1.0. Released v2.0.0.
% 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 12:18:24 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of clauses : 42 ( 4 unt; 14 nHn; 42 RR)
% Number of literals : 129 ( 0 equ; 78 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
big(u,skf6(u)),
file('SYN077+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ big(u,skf8(v))
| equal(u,v) ),
file('SYN077+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ equal(u,v)
| big(u,skf8(v)) ),
file('SYN077+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big(u,v)
| ~ big(u,skc1)
| big(skf5(v),v) ),
file('SYN077+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big(u,skf6(v))
| big(v,skc1)
| big(skf7(u,w),u) ),
file('SYN077+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ big(u,skf6(v))
| big(v,skc1)
| big(skf7(u,v),skf6(v)) ),
file('SYN077+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ big(u,v)
| ~ big(w,v)
| ~ big(u,skc1)
| ~ big(w,skf5(v)) ),
file('SYN077+1.p',unknown),
[] ).
cnf(9,plain,
( ~ big(u,skc1)
| big(skf5(skf6(u)),skf6(u)) ),
inference(res,[status(thm),theory(equality)],[1,4]),
[iquote('0:Res:1.0,4.0')] ).
cnf(10,plain,
( ~ equal(u,v)
| ~ big(u,skc1)
| big(skf5(skf8(v)),skf8(v)) ),
inference(res,[status(thm),theory(equality)],[3,4]),
[iquote('0:Res:3.1,4.0')] ).
cnf(11,plain,
( big(u,skc1)
| big(skf7(u,v),u) ),
inference(res,[status(thm),theory(equality)],[1,5]),
[iquote('0:Res:1.0,5.0')] ).
cnf(26,plain,
( ~ big(u,skf6(v))
| ~ big(skf7(u,v),skc1)
| big(v,skc1)
| big(skf5(skf6(v)),skf6(v)) ),
inference(res,[status(thm),theory(equality)],[6,4]),
[iquote('0:Res:6.2,4.0')] ).
cnf(27,plain,
( ~ big(u,skf6(v))
| ~ big(skf7(u,v),skc1)
| big(skf5(skf6(v)),skf6(v)) ),
inference(mrr,[status(thm)],[26,9]),
[iquote('0:MRR:26.2,9.0')] ).
cnf(43,plain,
( ~ big(u,v)
| ~ big(skf7(skf5(v),w),v)
| ~ big(u,skc1)
| big(skf5(v),skc1) ),
inference(res,[status(thm),theory(equality)],[11,7]),
[iquote('0:Res:11.1,7.3')] ).
cnf(45,plain,
( ~ big(u,skc1)
| big(skf5(skf8(u)),skf8(u)) ),
inference(eqr,[status(thm),theory(equality)],[10]),
[iquote('0:EqR:10.0')] ).
cnf(46,plain,
( ~ big(u,skc1)
| equal(skf5(skf8(u)),u) ),
inference(res,[status(thm),theory(equality)],[45,2]),
[iquote('0:Res:45.1,2.0')] ).
cnf(48,plain,
( ~ big(u,skc1)
| big(u,skf8(u)) ),
inference(rew,[status(thm),theory(equality)],[46,45]),
[iquote('0:Rew:46.1,45.1')] ).
cnf(56,plain,
( ~ big(skc1,skf6(u))
| big(skc1,skc1)
| big(skf5(skf6(u)),skf6(u)) ),
inference(res,[status(thm),theory(equality)],[11,27]),
[iquote('0:Res:11.1,27.1')] ).
cnf(57,plain,
( ~ big(skc1,skf6(u))
| big(skf5(skf6(u)),skf6(u)) ),
inference(mrr,[status(thm)],[56,4]),
[iquote('0:MRR:56.1,4.1')] ).
cnf(60,plain,
( ~ big(u,skc1)
| ~ big(v,skf8(u))
| ~ big(w,skf8(u))
| ~ big(v,skc1)
| ~ big(w,u) ),
inference(spl,[status(thm),theory(equality)],[46,7]),
[iquote('0:SpL:46.1,7.3')] ).
cnf(61,plain,
( ~ big(skc1,skf6(u))
| big(u,skc1)
| big(skf7(skf5(skf6(u)),v),skf5(skf6(u))) ),
inference(res,[status(thm),theory(equality)],[57,5]),
[iquote('0:Res:57.1,5.0')] ).
cnf(70,plain,
( ~ big(skc1,skf6(u))
| ~ big(v,skf6(u))
| ~ big(skf7(skf5(skf6(u)),w),skf6(u))
| ~ big(v,skc1)
| big(u,skc1) ),
inference(res,[status(thm),theory(equality)],[61,7]),
[iquote('0:Res:61.2,7.3')] ).
cnf(115,plain,
( ~ big(skf5(skf6(u)),skf6(u))
| ~ big(v,skf6(u))
| ~ big(v,skc1)
| big(u,skc1)
| big(skf5(skf6(u)),skc1) ),
inference(res,[status(thm),theory(equality)],[6,43]),
[iquote('0:Res:6.2,43.1')] ).
cnf(116,plain,
( ~ big(u,skf6(v))
| ~ big(u,skc1)
| big(v,skc1)
| big(skf5(skf6(v)),skc1) ),
inference(mrr,[status(thm)],[115,4]),
[iquote('0:MRR:115.0,4.2')] ).
cnf(132,plain,
( ~ big(u,skf6(v))
| ~ big(skf7(u,v),skc1)
| big(v,skc1)
| big(v,skc1)
| big(skf5(skf6(v)),skc1) ),
inference(res,[status(thm),theory(equality)],[6,116]),
[iquote('0:Res:6.2,116.0')] ).
cnf(139,plain,
( ~ big(u,skf6(v))
| ~ big(skf7(u,v),skc1)
| big(v,skc1)
| big(skf5(skf6(v)),skc1) ),
inference(obv,[status(thm),theory(equality)],[132]),
[iquote('0:Obv:132.2')] ).
cnf(240,plain,
( ~ big(skc1,skf6(u))
| big(skc1,skc1)
| big(u,skc1)
| big(skf5(skf6(u)),skc1) ),
inference(res,[status(thm),theory(equality)],[11,139]),
[iquote('0:Res:11.1,139.1')] ).
cnf(241,plain,
( ~ big(skc1,skf6(u))
| big(u,skc1)
| big(skf5(skf6(u)),skc1) ),
inference(mrr,[status(thm)],[240,116]),
[iquote('0:MRR:240.1,116.1')] ).
cnf(266,plain,
( ~ big(u,skc1)
| ~ big(u,skc1)
| ~ big(v,skf8(u))
| ~ big(u,skc1)
| ~ big(v,u) ),
inference(res,[status(thm),theory(equality)],[48,60]),
[iquote('0:Res:48.1,60.1')] ).
cnf(272,plain,
( ~ big(u,skf8(v))
| ~ big(v,skc1)
| ~ big(u,v) ),
inference(obv,[status(thm),theory(equality)],[266]),
[iquote('0:Obv:266.1')] ).
cnf(333,plain,
( ~ big(u,skc1)
| ~ big(u,skc1)
| ~ big(u,u) ),
inference(res,[status(thm),theory(equality)],[48,272]),
[iquote('0:Res:48.1,272.0')] ).
cnf(339,plain,
( ~ big(u,skc1)
| ~ big(u,u) ),
inference(obv,[status(thm),theory(equality)],[333]),
[iquote('0:Obv:333.0')] ).
cnf(362,plain,
( ~ big(skf5(skf6(u)),skf6(u))
| ~ big(skc1,skf6(u))
| ~ big(v,skf6(u))
| ~ big(v,skc1)
| big(u,skc1)
| big(u,skc1) ),
inference(res,[status(thm),theory(equality)],[6,70]),
[iquote('0:Res:6.2,70.2')] ).
cnf(363,plain,
( ~ big(skf5(skf6(u)),skf6(u))
| ~ big(skc1,skf6(u))
| ~ big(v,skf6(u))
| ~ big(v,skc1)
| big(u,skc1) ),
inference(obv,[status(thm),theory(equality)],[362]),
[iquote('0:Obv:362.4')] ).
cnf(364,plain,
( ~ big(skc1,skf6(u))
| ~ big(v,skf6(u))
| ~ big(v,skc1)
| big(u,skc1) ),
inference(mrr,[status(thm)],[363,57]),
[iquote('0:MRR:363.0,57.1')] ).
cnf(370,plain,
( ~ big(u,skf6(skc1))
| ~ big(u,skc1)
| big(skc1,skc1) ),
inference(res,[status(thm),theory(equality)],[1,364]),
[iquote('0:Res:1.0,364.0')] ).
cnf(382,plain,
( ~ big(skc1,skf6(skc1))
| ~ big(skf5(skf6(skc1)),skc1)
| big(skc1,skc1) ),
inference(res,[status(thm),theory(equality)],[57,370]),
[iquote('0:Res:57.1,370.0')] ).
cnf(389,plain,
( ~ big(skf5(skf6(skc1)),skc1)
| big(skc1,skc1) ),
inference(mrr,[status(thm)],[382,1]),
[iquote('0:MRR:382.0,1.0')] ).
cnf(391,plain,
( ~ big(skc1,skf6(skc1))
| big(skc1,skc1)
| big(skc1,skc1) ),
inference(res,[status(thm),theory(equality)],[241,389]),
[iquote('0:Res:241.2,389.0')] ).
cnf(392,plain,
( ~ big(skc1,skf6(skc1))
| big(skc1,skc1) ),
inference(obv,[status(thm),theory(equality)],[391]),
[iquote('0:Obv:391.1')] ).
cnf(393,plain,
big(skc1,skc1),
inference(mrr,[status(thm)],[392,1]),
[iquote('0:MRR:392.0,1.0')] ).
cnf(395,plain,
~ big(skc1,skc1),
inference(res,[status(thm),theory(equality)],[393,339]),
[iquote('0:Res:393.0,339.0')] ).
cnf(396,plain,
$false,
inference(mrr,[status(thm)],[395,393]),
[iquote('0:MRR:395.0,393.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN077+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 04:22:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48
% 0.19/0.48 SPASS V 3.9
% 0.19/0.48 SPASS beiseite: Proof found.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 SPASS derived 282 clauses, backtracked 0 clauses, performed 1 splits and kept 134 clauses.
% 0.19/0.48 SPASS allocated 85358 KBytes.
% 0.19/0.48 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.48 0:00:00.04 for the input.
% 0.19/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.48 0:00:00.01 for inferences.
% 0.19/0.48 0:00:00.00 for the backtracking.
% 0.19/0.48 0:00:00.03 for the reduction.
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Here is a proof with depth 9, length 42 :
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 Formulae used in the proof : pel54 pel54_1
% 0.19/0.48
%------------------------------------------------------------------------------