%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COL052-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 : Fri Jul 15 00:42:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 13 RR)
% Number of literals : 18 ( 0 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(response(compose(u,v),w),response(u,response(v,w))),
file('COL052-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ agreeable(u)
| equal(response(u,common_bird(v)),response(v,common_bird(v))) ),
file('COL052-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ equal(response(compatible(u),v),response(u,v))
| agreeable(u) ),
file('COL052-2.p',unknown),
[] ).
cnf(4,axiom,
agreeable(c),
file('COL052-2.p',unknown),
[] ).
cnf(5,axiom,
equal(compose(a,b),c),
file('COL052-2.p',unknown),
[] ).
cnf(6,axiom,
~ agreeable(a),
file('COL052-2.p',unknown),
[] ).
cnf(7,plain,
~ equal(response(compatible(a),u),response(a,u)),
inference(res,[status(thm),theory(equality)],[3,6]),
[iquote('0:Res:3.1,6.0')] ).
cnf(10,plain,
equal(response(a,response(b,u)),response(c,u)),
inference(spr,[status(thm),theory(equality)],[5,1]),
[iquote('0:SpR:5.0,1.0')] ).
cnf(17,plain,
( ~ agreeable(u)
| equal(response(u,common_bird(compose(v,w))),response(v,response(w,common_bird(compose(v,w))))) ),
inference(spr,[status(thm),theory(equality)],[2,1]),
[iquote('0:SpR:2.1,1.0')] ).
cnf(109,plain,
( ~ agreeable(u)
| ~ equal(response(u,common_bird(compose(compatible(a),v))),response(a,response(v,common_bird(compose(compatible(a),v))))) ),
inference(spl,[status(thm),theory(equality)],[17,7]),
[iquote('0:SpL:17.1,7.0')] ).
cnf(147,plain,
( ~ agreeable(u)
| ~ equal(response(u,common_bird(compose(compatible(a),b))),response(c,common_bird(compose(compatible(a),b)))) ),
inference(spl,[status(thm),theory(equality)],[10,109]),
[iquote('0:SpL:10.0,109.1')] ).
cnf(155,plain,
~ agreeable(c),
inference(eqr,[status(thm),theory(equality)],[147]),
[iquote('0:EqR:147.1')] ).
cnf(164,plain,
$false,
inference(ssi,[status(thm)],[155,4]),
[iquote('0:SSi:155.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL052-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.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 May 31 15:42:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 106 clauses, backtracked 0 clauses, performed 0 splits and kept 45 clauses.
% 0.19/0.42 SPASS allocated 75833 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.42 0:00:00.04 for the input.
% 0.19/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.01 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 4, length 13 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : composer_exists agreeable1 agreeable2 c_is_agreeable c_composes_a_with_b prove_a_is_agreeable
% 0.19/0.42
%------------------------------------------------------------------------------