TSTP Solution File: SWV864-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 20:40:25 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 11 unt; 12 nHn; 17 RR)
% Number of literals : 68 ( 54 equ; 24 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_id__apply_0,axiom,
c_Fun_Oid(V_x,T_a) = V_x ).
cnf(cls_com_Osimps_I13_J_0,axiom,
c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
cnf(cls_com__det_0,axiom,
( V_u = V_t
| ~ c_Natural_Oevalc(V_c,V_s,V_u)
| ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa) ).
cnf(cls_conjecture_2,negated_conjecture,
( V_Z_H = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H)) ) ).
cnf(cls_conjecture_3,negated_conjecture,
( V_Z_H != v_xb(V_Z_H)
| V_Z_H = v_xa ) ).
cnf(refute_0_0,plain,
( ~ c_Natural_Oevalc(v_c,v_x,X_96)
| ~ c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H))
| X_96 = v_xb(V_Z_H) ),
inference(subst,[],[cls_com__det_0:[bind(V_c,$fot(v_c)),bind(V_s,$fot(v_x)),bind(V_t,$fot(v_xb(V_Z_H))),bind(V_u,$fot(X_96))]]) ).
cnf(refute_0_1,plain,
( ~ c_Natural_Oevalc(v_c,v_x,X_96)
| V_Z_H = v_xa
| X_96 = v_xb(V_Z_H) ),
inference(resolve,[$cnf( c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H)) )],[cls_conjecture_2,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H))
| X_105 = v_xa
| v_xb(V_Z_H) = v_xb(X_105) ),
inference(subst,[],[refute_0_1:[bind(V_Z_H,$fot(X_105)),bind(X_96,$fot(v_xb(V_Z_H)))]]) ).
cnf(refute_0_3,plain,
( V_Z_H = v_xa
| X_105 = v_xa
| v_xb(V_Z_H) = v_xb(X_105) ),
inference(resolve,[$cnf( c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H)) )],[cls_conjecture_2,refute_0_2]) ).
cnf(refute_0_4,plain,
( V_Z_H = v_xa
| X_108 = v_xa
| v_xb(V_Z_H) = v_xb(X_108) ),
inference(subst,[],[refute_0_3:[bind(X_105,$fot(X_108))]]) ).
cnf(refute_0_5,plain,
( V_Z_H != v_xb(X_108)
| v_xb(V_Z_H) != v_xb(X_108)
| V_Z_H = v_xb(V_Z_H) ),
introduced(tautology,[equality,[$cnf( ~ $equal(V_Z_H,v_xb(V_Z_H)) ),[1],$fot(v_xb(X_108))]]) ).
cnf(refute_0_6,plain,
( V_Z_H != v_xb(X_108)
| V_Z_H = v_xa
| V_Z_H = v_xb(V_Z_H)
| X_108 = v_xa ),
inference(resolve,[$cnf( $equal(v_xb(V_Z_H),v_xb(X_108)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( V_Z_H != v_xb(X_108)
| V_Z_H = v_xa
| X_108 = v_xa ),
inference(resolve,[$cnf( $equal(V_Z_H,v_xb(V_Z_H)) )],[refute_0_6,cls_conjecture_3]) ).
cnf(refute_0_8,plain,
( v_xb(X_108) != v_xb(X_108)
| X_108 = v_xa
| v_xb(X_108) = v_xa ),
inference(subst,[],[refute_0_7:[bind(V_Z_H,$fot(v_xb(X_108)))]]) ).
cnf(refute_0_9,plain,
v_xb(X_108) = v_xb(X_108),
introduced(tautology,[refl,[$fot(v_xb(X_108))]]) ).
cnf(refute_0_10,plain,
( X_108 = v_xa
| v_xb(X_108) = v_xa ),
inference(resolve,[$cnf( $equal(v_xb(X_108),v_xb(X_108)) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
( V_Z_H = v_xa
| v_xb(V_Z_H) = v_xa ),
inference(subst,[],[refute_0_10:[bind(X_108,$fot(V_Z_H))]]) ).
cnf(refute_0_12,plain,
( v_xb(V_Z_H) != v_xa
| ~ c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H))
| c_Natural_Oevalc(v_c,v_x,v_xa) ),
introduced(tautology,[equality,[$cnf( c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H)) ),[2],$fot(v_xa)]]) ).
cnf(refute_0_13,plain,
( ~ c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H))
| V_Z_H = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xa) ),
inference(resolve,[$cnf( $equal(v_xb(V_Z_H),v_xa) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( V_Z_H = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xa) ),
inference(resolve,[$cnf( c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H)) )],[cls_conjecture_2,refute_0_13]) ).
cnf(refute_0_15,plain,
V_Z_H = v_xa,
inference(resolve,[$cnf( c_Natural_Oevalc(v_c,v_x,v_xa) )],[refute_0_14,cls_conjecture_1]) ).
cnf(refute_0_16,plain,
c_Com_Ocom_OSemi(V_com1_H,V_com2_H) = v_xa,
inference(subst,[],[refute_0_15:[bind(V_Z_H,$fot(c_Com_Ocom_OSemi(V_com1_H,V_com2_H)))]]) ).
cnf(refute_0_17,plain,
( c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != v_xa
| v_xa != c_Com_Ocom_OSKIP
| c_Com_Ocom_OSemi(V_com1_H,V_com2_H) = c_Com_Ocom_OSKIP ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Com_Ocom_OSemi(V_com1_H,V_com2_H),c_Com_Ocom_OSKIP) ),[0],$fot(v_xa)]]) ).
cnf(refute_0_18,plain,
( v_xa != c_Com_Ocom_OSKIP
| c_Com_Ocom_OSemi(V_com1_H,V_com2_H) = c_Com_Ocom_OSKIP ),
inference(resolve,[$cnf( $equal(c_Com_Ocom_OSemi(V_com1_H,V_com2_H),v_xa) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
v_xa != c_Com_Ocom_OSKIP,
inference(resolve,[$cnf( $equal(c_Com_Ocom_OSemi(V_com1_H,V_com2_H),c_Com_Ocom_OSKIP) )],[refute_0_18,cls_com_Osimps_I13_J_0]) ).
cnf(refute_0_20,plain,
c_Fun_Oid(V_x,T_a) = v_xa,
inference(subst,[],[refute_0_15:[bind(V_Z_H,$fot(c_Fun_Oid(V_x,T_a)))]]) ).
cnf(refute_0_21,plain,
( c_Fun_Oid(V_x,T_a) != V_x
| c_Fun_Oid(V_x,T_a) != v_xa
| v_xa = V_x ),
introduced(tautology,[equality,[$cnf( $equal(c_Fun_Oid(V_x,T_a),V_x) ),[0],$fot(v_xa)]]) ).
cnf(refute_0_22,plain,
( c_Fun_Oid(V_x,T_a) != V_x
| v_xa = V_x ),
inference(resolve,[$cnf( $equal(c_Fun_Oid(V_x,T_a),v_xa) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
v_xa = V_x,
inference(resolve,[$cnf( $equal(c_Fun_Oid(V_x,T_a),V_x) )],[cls_id__apply_0,refute_0_22]) ).
cnf(refute_0_24,plain,
v_xa = c_Com_Ocom_OSKIP,
inference(subst,[],[refute_0_23:[bind(V_x,$fot(c_Com_Ocom_OSKIP))]]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( $equal(v_xa,c_Com_Ocom_OSKIP) )],[refute_0_24,refute_0_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n008.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 : Wed Jun 15 10:25:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42
%------------------------------------------------------------------------------