%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV865-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 0.20s 0.45s
% Output : CNFRefutation 0.20s
% 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; 0-3 aty)
% Number of variables : 51 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_tracing__def_0,axiom,
c_Code__Evaluation_Otracing(V_s,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_Z,v_s_H) ).
cnf(cls_conjecture_3,negated_conjecture,
( V_Z_Ha = v_s_H
| c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha)) ) ).
cnf(cls_conjecture_4,negated_conjecture,
( V_Z_Ha != v_Z_H(V_Z_Ha)
| V_Z_Ha = v_s_H ) ).
cnf(refute_0_0,plain,
( ~ c_Natural_Oevalc(v_c,v_Z,X_95)
| ~ c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha))
| X_95 = v_Z_H(V_Z_Ha) ),
inference(subst,[],[cls_com__det_0:[bind(V_c,$fot(v_c)),bind(V_s,$fot(v_Z)),bind(V_t,$fot(v_Z_H(V_Z_Ha))),bind(V_u,$fot(X_95))]]) ).
cnf(refute_0_1,plain,
( ~ c_Natural_Oevalc(v_c,v_Z,X_95)
| V_Z_Ha = v_s_H
| X_95 = v_Z_H(V_Z_Ha) ),
inference(resolve,[$cnf( c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha)) )],[cls_conjecture_3,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha))
| X_99 = v_s_H
| v_Z_H(V_Z_Ha) = v_Z_H(X_99) ),
inference(subst,[],[refute_0_1:[bind(V_Z_Ha,$fot(X_99)),bind(X_95,$fot(v_Z_H(V_Z_Ha)))]]) ).
cnf(refute_0_3,plain,
( V_Z_Ha = v_s_H
| X_99 = v_s_H
| v_Z_H(V_Z_Ha) = v_Z_H(X_99) ),
inference(resolve,[$cnf( c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha)) )],[cls_conjecture_3,refute_0_2]) ).
cnf(refute_0_4,plain,
( V_Z_Ha = v_s_H
| X_102 = v_s_H
| v_Z_H(V_Z_Ha) = v_Z_H(X_102) ),
inference(subst,[],[refute_0_3:[bind(X_99,$fot(X_102))]]) ).
cnf(refute_0_5,plain,
( V_Z_Ha != v_Z_H(X_102)
| v_Z_H(V_Z_Ha) != v_Z_H(X_102)
| V_Z_Ha = v_Z_H(V_Z_Ha) ),
introduced(tautology,[equality,[$cnf( ~ $equal(V_Z_Ha,v_Z_H(V_Z_Ha)) ),[1],$fot(v_Z_H(X_102))]]) ).
cnf(refute_0_6,plain,
( V_Z_Ha != v_Z_H(X_102)
| V_Z_Ha = v_Z_H(V_Z_Ha)
| V_Z_Ha = v_s_H
| X_102 = v_s_H ),
inference(resolve,[$cnf( $equal(v_Z_H(V_Z_Ha),v_Z_H(X_102)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( V_Z_Ha != v_Z_H(X_102)
| V_Z_Ha = v_s_H
| X_102 = v_s_H ),
inference(resolve,[$cnf( $equal(V_Z_Ha,v_Z_H(V_Z_Ha)) )],[refute_0_6,cls_conjecture_4]) ).
cnf(refute_0_8,plain,
( v_Z_H(X_102) != v_Z_H(X_102)
| X_102 = v_s_H
| v_Z_H(X_102) = v_s_H ),
inference(subst,[],[refute_0_7:[bind(V_Z_Ha,$fot(v_Z_H(X_102)))]]) ).
cnf(refute_0_9,plain,
v_Z_H(X_102) = v_Z_H(X_102),
introduced(tautology,[refl,[$fot(v_Z_H(X_102))]]) ).
cnf(refute_0_10,plain,
( X_102 = v_s_H
| v_Z_H(X_102) = v_s_H ),
inference(resolve,[$cnf( $equal(v_Z_H(X_102),v_Z_H(X_102)) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
( V_Z_Ha = v_s_H
| v_Z_H(V_Z_Ha) = v_s_H ),
inference(subst,[],[refute_0_10:[bind(X_102,$fot(V_Z_Ha))]]) ).
cnf(refute_0_12,plain,
( v_Z_H(V_Z_Ha) != v_s_H
| ~ c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha))
| c_Natural_Oevalc(v_c,v_Z,v_s_H) ),
introduced(tautology,[equality,[$cnf( c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha)) ),[2],$fot(v_s_H)]]) ).
cnf(refute_0_13,plain,
( ~ c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha))
| V_Z_Ha = v_s_H
| c_Natural_Oevalc(v_c,v_Z,v_s_H) ),
inference(resolve,[$cnf( $equal(v_Z_H(V_Z_Ha),v_s_H) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( V_Z_Ha = v_s_H
| c_Natural_Oevalc(v_c,v_Z,v_s_H) ),
inference(resolve,[$cnf( c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha)) )],[cls_conjecture_3,refute_0_13]) ).
cnf(refute_0_15,plain,
V_Z_Ha = v_s_H,
inference(resolve,[$cnf( c_Natural_Oevalc(v_c,v_Z,v_s_H) )],[refute_0_14,cls_conjecture_1]) ).
cnf(refute_0_16,plain,
c_Com_Ocom_OSemi(V_com1_H,V_com2_H) = v_s_H,
inference(subst,[],[refute_0_15:[bind(V_Z_Ha,$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_s_H
| v_s_H != 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_s_H)]]) ).
cnf(refute_0_18,plain,
( v_s_H != c_Com_Ocom_OSKIP
| c_Com_Ocom_OSemi(V_com1_H,V_com2_H) = c_Com_Ocom_OSKIP ),
inference(resolve,[$cnf( $equal(c_Com_Ocom_OSemi(V_com1_H,V_com2_H),v_s_H) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
v_s_H != c_Com_Ocom_OSKIP,
inference(resolve,[$cnf( $equal(c_Com_Ocom_OSemi(V_com1_H,V_com2_H),c_Com_Ocom_OSKIP) )],[refute_0_18,cls_com_Osimps_I13_J_0]) ).
cnf(refute_0_20,plain,
c_Code__Evaluation_Otracing(V_s,V_x,T_a) = v_s_H,
inference(subst,[],[refute_0_15:[bind(V_Z_Ha,$fot(c_Code__Evaluation_Otracing(V_s,V_x,T_a)))]]) ).
cnf(refute_0_21,plain,
( c_Code__Evaluation_Otracing(V_s,V_x,T_a) != V_x
| c_Code__Evaluation_Otracing(V_s,V_x,T_a) != v_s_H
| v_s_H = V_x ),
introduced(tautology,[equality,[$cnf( $equal(c_Code__Evaluation_Otracing(V_s,V_x,T_a),V_x) ),[0],$fot(v_s_H)]]) ).
cnf(refute_0_22,plain,
( c_Code__Evaluation_Otracing(V_s,V_x,T_a) != V_x
| v_s_H = V_x ),
inference(resolve,[$cnf( $equal(c_Code__Evaluation_Otracing(V_s,V_x,T_a),v_s_H) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
v_s_H = V_x,
inference(resolve,[$cnf( $equal(c_Code__Evaluation_Otracing(V_s,V_x,T_a),V_x) )],[cls_tracing__def_0,refute_0_22]) ).
cnf(refute_0_24,plain,
v_s_H = c_Com_Ocom_OSKIP,
inference(subst,[],[refute_0_23:[bind(V_x,$fot(c_Com_Ocom_OSKIP))]]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( $equal(v_s_H,c_Com_Ocom_OSKIP) )],[refute_0_24,refute_0_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV865-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 02:24:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45
% 0.20/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.45
%------------------------------------------------------------------------------