TSTP Solution File: SYN075-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN075-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 12:18:22 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of clauses : 26 ( 7 unt; 7 nHn; 26 RR)
% Number of literals : 52 ( 0 equ; 30 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big(u,v)
| equal(u,a) ),
file('SYN075-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ equal(u,b)
| ~ equal(v,a)
| big(v,u) ),
file('SYN075-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big(u,f(v))
| ~ equal(u,g(v))
| equal(f(v),v) ),
file('SYN075-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ equal(u,g(v))
| big(u,f(v))
| equal(f(v),v) ),
file('SYN075-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ equal(f(u),u)
| equal(h(u,v),v)
| big(h(u,v),f(u)) ),
file('SYN075-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ equal(f(u),u)
| ~ equal(h(u,v),v)
| ~ big(h(u,v),f(u)) ),
file('SYN075-1.p',unknown),
[] ).
cnf(11,plain,
( ~ equal(u,g(v))
| equal(f(v),v) ),
inference(mrr,[status(thm)],[4,6]),
[iquote('0:MRR:4.0,6.1')] ).
cnf(14,plain,
equal(f(u),u),
inference(eqr,[status(thm),theory(equality)],[11]),
[iquote('0:EqR:11.0')] ).
cnf(15,plain,
( ~ equal(u,u)
| ~ equal(h(u,v),v)
| ~ big(h(u,v),f(u)) ),
inference(rew,[status(thm),theory(equality)],[14,10]),
[iquote('0:Rew:14.0,10.0')] ).
cnf(16,plain,
( ~ equal(u,u)
| equal(h(u,v),v)
| big(h(u,v),f(u)) ),
inference(rew,[status(thm),theory(equality)],[14,9]),
[iquote('0:Rew:14.0,9.0')] ).
cnf(17,plain,
( equal(h(u,v),v)
| big(h(u,v),f(u)) ),
inference(obv,[status(thm),theory(equality)],[16]),
[iquote('0:Obv:16.0')] ).
cnf(18,plain,
( equal(h(u,v),v)
| big(h(u,v),u) ),
inference(rew,[status(thm),theory(equality)],[14,17]),
[iquote('0:Rew:14.0,17.1')] ).
cnf(19,plain,
( ~ equal(h(u,v),v)
| ~ big(h(u,v),f(u)) ),
inference(obv,[status(thm),theory(equality)],[15]),
[iquote('0:Obv:15.0')] ).
cnf(20,plain,
( ~ equal(h(u,v),v)
| ~ big(h(u,v),u) ),
inference(rew,[status(thm),theory(equality)],[14,19]),
[iquote('0:Rew:14.0,19.1')] ).
cnf(22,plain,
( equal(h(u,v),v)
| equal(h(u,v),a) ),
inference(res,[status(thm),theory(equality)],[18,1]),
[iquote('0:Res:18.1,1.0')] ).
cnf(24,plain,
( equal(h(u,v),v)
| big(a,u) ),
inference(rew,[status(thm),theory(equality)],[22,18]),
[iquote('0:Rew:22.1,18.1')] ).
cnf(30,plain,
equal(h(u,a),a),
inference(fac,[status(thm)],[22]),
[iquote('0:Fac:22.0,22.1')] ).
cnf(57,plain,
( ~ equal(h(u,a),a)
| ~ big(a,u) ),
inference(spl,[status(thm),theory(equality)],[30,20]),
[iquote('0:SpL:30.0,20.1')] ).
cnf(60,plain,
( ~ equal(a,a)
| ~ big(a,u) ),
inference(rew,[status(thm),theory(equality)],[30,57]),
[iquote('0:Rew:30.0,57.0')] ).
cnf(61,plain,
~ big(a,u),
inference(obv,[status(thm),theory(equality)],[60]),
[iquote('0:Obv:60.0')] ).
cnf(62,plain,
equal(h(u,v),v),
inference(mrr,[status(thm)],[24,61]),
[iquote('0:MRR:24.1,61.0')] ).
cnf(64,plain,
( ~ equal(u,u)
| ~ big(h(v,u),v) ),
inference(rew,[status(thm),theory(equality)],[62,20]),
[iquote('0:Rew:62.0,20.0')] ).
cnf(65,plain,
~ big(h(u,v),u),
inference(obv,[status(thm),theory(equality)],[64]),
[iquote('0:Obv:64.0')] ).
cnf(66,plain,
~ big(u,v),
inference(rew,[status(thm),theory(equality)],[62,65]),
[iquote('0:Rew:62.0,65.0')] ).
cnf(67,plain,
( ~ equal(u,b)
| ~ equal(v,a) ),
inference(mrr,[status(thm)],[3,66]),
[iquote('0:MRR:3.2,66.0')] ).
cnf(68,plain,
$false,
inference(aed,[status(thm),theory(equality)],[67]),
[iquote('0:AED:67.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN075-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.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 : Tue Jul 12 03:26:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 45 clauses, backtracked 0 clauses, performed 1 splits and kept 25 clauses.
% 0.19/0.41 SPASS allocated 63120 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.04 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 3, length 26 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : clause_1 clause_3 clause_4 clause_6 clause_9 clause_10
% 0.19/0.41
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