TSTP Solution File: SCT024-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SCT024-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 : Mon Jul 18 22:13:04 EDT 2022
% Result : Unsatisfiable 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 9 unt; 2 nHn; 12 RR)
% Number of literals : 22 ( 0 equ; 11 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(672,axiom,
( ~ hBOOL(c_in(c_Pair(u,u,v,v),w,tc_prod(v,v)))
| ~ c_Relation_Oirrefl(w,v) ),
file('SCT024-1.p',unknown),
[] ).
cnf(705,axiom,
c_Relation_Otrans(hAPP(v_P,u),tc_Arrow__Order__Mirabelle_Oalt),
file('SCT024-1.p',unknown),
[] ).
cnf(706,axiom,
c_Relation_Oirrefl(hAPP(v_P,u),tc_Arrow__Order__Mirabelle_Oalt),
file('SCT024-1.p',unknown),
[] ).
cnf(707,axiom,
c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,u),tc_Arrow__Order__Mirabelle_Oalt),
file('SCT024-1.p',unknown),
[] ).
cnf(708,axiom,
hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('SCT024-1.p',unknown),
[] ).
cnf(709,axiom,
~ hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('SCT024-1.p',unknown),
[] ).
cnf(713,axiom,
( ~ hBOOL(c_in(c_Pair(u,v,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(w,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Otrans(hAPP(w,v_Pa(w)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(w,v_Pa(w)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(w,v_Pa(w)),tc_Arrow__Order__Mirabelle_Oalt)
| hBOOL(c_in(c_Pair(u,v,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(w),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| equal(u,v) ),
file('SCT024-1.p',unknown),
[] ).
cnf(767,plain,
~ hBOOL(c_in(c_Pair(u,u,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(res,[status(thm),theory(equality)],[706,672]),
[iquote('0:Res:706.0,672.1')] ).
cnf(932,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| equal(v_b,v_a) ),
inference(res,[status(thm),theory(equality)],[708,713]),
[iquote('0:Res:708.0,713.0')] ).
cnf(950,plain,
equal(v_b,v_a),
inference(mrr,[status(thm)],[932,707,706,705,709]),
[iquote('0:MRR:932.0,932.1,932.2,932.3,707.0,706.0,705.0,709.0')] ).
cnf(952,plain,
hBOOL(c_in(c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(rew,[status(thm),theory(equality)],[950,708]),
[iquote('0:Rew:950.0,708.0')] ).
cnf(984,plain,
$false,
inference(mrr,[status(thm)],[952,767]),
[iquote('0:MRR:952.0,767.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT024-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 08:40:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.60/0.80
% 0.60/0.80 SPASS V 3.9
% 0.60/0.80 SPASS beiseite: Proof found.
% 0.60/0.80 % SZS status Theorem
% 0.60/0.80 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.80 SPASS derived 117 clauses, backtracked 0 clauses, performed 0 splits and kept 656 clauses.
% 0.60/0.80 SPASS allocated 77429 KBytes.
% 0.60/0.80 SPASS spent 0:00:00.42 on the problem.
% 0.60/0.80 0:00:00.07 for the input.
% 0.60/0.80 0:00:00.00 for the FLOTTER CNF translation.
% 0.60/0.80 0:00:00.00 for inferences.
% 0.60/0.80 0:00:00.00 for the backtracking.
% 0.60/0.80 0:00:00.23 for the reduction.
% 0.60/0.80
% 0.60/0.80
% 0.60/0.80 Here is a proof with depth 1, length 12 :
% 0.60/0.80 % SZS output start Refutation
% See solution above
% 0.60/0.80 Formulae used in the proof : cls_irrefl__def_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4 cls_conjecture_8
% 0.60/0.80
%------------------------------------------------------------------------------