%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP704-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 : Sat Jul 16 11:49:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 10 RR)
% Number of literals : 10 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(mult(u,ld(u,v)),v),
file('GRP704-10.p',unknown),
[] ).
cnf(6,axiom,
equal(mult(unit,u),u),
file('GRP704-10.p',unknown),
[] ).
cnf(8,axiom,
equal(mult(mult(op_c,u),v),mult(op_c,mult(u,v))),
file('GRP704-10.p',unknown),
[] ).
cnf(13,axiom,
equal(mult(u,mult(v,ld(mult(u,v),op_c))),op),
file('GRP704-10.p',unknown),
[] ).
cnf(14,axiom,
~ equal(mult(mult(op,x4__dfg),x5__dfg),mult(op,mult(x4__dfg,x5__dfg))),
file('GRP704-10.p',unknown),
[] ).
cnf(250,plain,
equal(mult(u,ld(mult(unit,u),op_c)),op),
inference(spr,[status(thm),theory(equality)],[13,6]),
[iquote('0:SpR:13.0,6.0')] ).
cnf(271,plain,
equal(op,op_c),
inference(rew,[status(thm),theory(equality)],[1,250,6]),
[iquote('0:Rew:1.0,250.0,6.0,250.0')] ).
cnf(273,plain,
~ equal(mult(mult(op_c,x4__dfg),x5__dfg),mult(op_c,mult(x4__dfg,x5__dfg))),
inference(rew,[status(thm),theory(equality)],[271,14]),
[iquote('0:Rew:271.0,14.0')] ).
cnf(287,plain,
~ equal(mult(op_c,mult(x4__dfg,x5__dfg)),mult(op_c,mult(x4__dfg,x5__dfg))),
inference(rew,[status(thm),theory(equality)],[8,273]),
[iquote('0:Rew:8.0,273.0')] ).
cnf(288,plain,
$false,
inference(obv,[status(thm),theory(equality)],[287]),
[iquote('0:Obv:287.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP704-10 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n022.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 : Mon Jun 13 14:02:03 EDT 2022
% 0.13/0.33 % 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 217 clauses, backtracked 0 clauses, performed 0 splits and kept 66 clauses.
% 0.19/0.42 SPASS allocated 63395 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.42 0:00:00.03 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 1, length 10 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : f01 f06 f08 f13 goal
% 0.19/0.42
%------------------------------------------------------------------------------