%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN352-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 12:20:39 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 5 unt; 6 nHn; 14 RR)
% Number of literals : 28 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
f(a,b),
file('SYN352-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ f(u,v)
| f(v,z__dfg(u,v))
| f(b,z__dfg(u,v)) ),
file('SYN352-1.p',unknown),
[] ).
cnf(3,axiom,
( f(u,v)
| f(z__dfg(u,v),z__dfg(u,v)) ),
file('SYN352-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ f(u,v)
| ~ f(v,z__dfg(u,v))
| ~ f(u,z__dfg(u,v)) ),
file('SYN352-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ f(u,v)
| f(v,z__dfg(u,v))
| f(u,z__dfg(u,v)) ),
file('SYN352-1.p',unknown),
[] ).
cnf(8,plain,
( f(b,z__dfg(a,b))
| f(b,z__dfg(a,b)) ),
inference(res,[status(thm),theory(equality)],[1,2]),
[iquote('0:Res:1.0,2.0')] ).
cnf(10,plain,
f(b,z__dfg(a,b)),
inference(obv,[status(thm),theory(equality)],[8]),
[iquote('0:Obv:8.0')] ).
cnf(13,plain,
( f(u,v)
| f(z__dfg(u,v),z__dfg(z__dfg(u,v),z__dfg(u,v)))
| f(z__dfg(u,v),z__dfg(z__dfg(u,v),z__dfg(u,v))) ),
inference(res,[status(thm),theory(equality)],[3,7]),
[iquote('0:Res:3.1,7.0')] ).
cnf(15,plain,
( f(u,v)
| f(z__dfg(u,v),z__dfg(z__dfg(u,v),z__dfg(u,v))) ),
inference(obv,[status(thm),theory(equality)],[13]),
[iquote('0:Obv:13.1')] ).
cnf(20,plain,
( ~ f(a,b)
| ~ f(a,z__dfg(a,b)) ),
inference(res,[status(thm),theory(equality)],[10,6]),
[iquote('0:Res:10.0,6.1')] ).
cnf(21,plain,
( ~ f(z__dfg(u,v),z__dfg(u,v))
| ~ f(z__dfg(u,v),z__dfg(z__dfg(u,v),z__dfg(u,v)))
| f(u,v) ),
inference(res,[status(thm),theory(equality)],[15,6]),
[iquote('0:Res:15.1,6.1')] ).
cnf(23,plain,
~ f(a,z__dfg(a,b)),
inference(mrr,[status(thm)],[20,1]),
[iquote('0:MRR:20.0,1.0')] ).
cnf(24,plain,
f(u,v),
inference(mrr,[status(thm)],[21,3,15]),
[iquote('0:MRR:21.0,21.1,3.1,15.1')] ).
cnf(25,plain,
$false,
inference(unc,[status(thm)],[24,23]),
[iquote('0:UnC:24.0,23.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN352-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n011.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 19:33:57 EDT 2022
% 0.12/0.33 % 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/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 17 clauses.
% 0.19/0.41 SPASS allocated 63104 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 2, length 14 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : clause1 clause2 clause3 clause6 clause7
% 0.19/0.41
%------------------------------------------------------------------------------