TSTP Solution File: SWV925-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV925-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : Wed Jul 20 20:40:36 EDT 2022
% Result : Unsatisfiable 0.78s 0.96s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 12 unt; 0 nHn; 17 RR)
% Number of literals : 33 ( 32 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_nat_Osimps_I2_J_0,axiom,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
cnf(cls_Suc__length__conv_2,axiom,
c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) ).
cnf(cls_length__0__conv_1,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) != c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a))
| c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))))),bind(Y,$fot(c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a))))]]) ).
cnf(refute_0_4,plain,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))),
inference(resolve,[$cnf( $equal(c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a))) )],[cls_Suc__length__conv_2,refute_0_3]) ).
cnf(refute_0_5,plain,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))),
inference(subst,[],[refute_0_4:[bind(T_a,$fot(tc_Value_Oval)),bind(V_x,$fot(v_aj)),bind(V_xa,$fot(v_ak))]]) ).
cnf(refute_0_6,plain,
( c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) != c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval)))
| c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) ),
introduced(tautology,[equality,[$cnf( $equal(c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)),c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))) ),[0],$fot(c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))))]]) ).
cnf(refute_0_7,plain,
( c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))
| c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) ),
inference(resolve,[$cnf( $equal(c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)),c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval)))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(subst,[],[cls_length__0__conv_1:[bind(T_a,$fot(tc_Type_Oty))]]) ).
cnf(refute_0_9,plain,
( c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) != c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))
| c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_HOL_Ozero__class_Ozero(tc_nat) ),
introduced(tautology,[equality,[$cnf( $equal(c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))),c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))) ),[1],$fot(c_HOL_Ozero__class_Ozero(tc_nat))]]) ).
cnf(refute_0_10,plain,
( c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) != c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))
| c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(resolve,[$cnf( $equal(c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),c_HOL_Ozero__class_Ozero(tc_nat)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))
| c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(resolve,[$cnf( $equal(c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))),c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(resolve,[$cnf( $equal(c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)),c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))) )],[cls_conjecture_1,refute_0_11]) ).
cnf(refute_0_13,plain,
( c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Suc(V_nat_H) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_Suc(V_nat_H))),bind(Y,$fot(c_HOL_Ozero__class_Ozero(tc_nat)))]]) ).
cnf(refute_0_14,plain,
c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(resolve,[$cnf( $equal(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_nat_H)) )],[refute_0_13,cls_nat_Osimps_I2_J_0]) ).
cnf(refute_0_15,plain,
c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(subst,[],[refute_0_14:[bind(V_nat_H,$fot(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))))]]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( $equal(c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))),c_HOL_Ozero__class_Ozero(tc_nat)) )],[refute_0_12,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV925-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n011.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 : Tue Jun 14 20:40:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.78/0.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.96
% 0.78/0.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.78/0.97
%------------------------------------------------------------------------------