TSTP Solution File: LCL787-1 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL787-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n007.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 : Sun Jul 17 12:11:59 EDT 2022
% Result : Unsatisfiable 0.21s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL787-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 17:29:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.38 % SZS status Unsatisfiable
% 0.21/0.38 % SZS output begin IncompleteProof
% 0.21/0.38 cnf(c0, axiom,
% 0.21/0.38 ~v_thesis____).
% 0.21/0.38 cnf(c1, plain,
% 0.21/0.38 ~v_thesis____,
% 0.21/0.38 inference(start, [], [c0])).
% 0.21/0.38
% 0.21/0.38 cnf(c2, axiom,
% 0.21/0.38 ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) | ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) | v_thesis____).
% 0.21/0.38 cnf(c3, plain,
% 0.21/0.38 $false,
% 0.21/0.38 inference(strict_predicate_extension, [], [c1, c2])).
% 0.21/0.38 cnf(c4, plain,
% 0.21/0.38 ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) | ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0),
% 0.21/0.38 inference(strict_predicate_extension, [], [c1, c2])).
% 0.21/0.38
% 0.21/0.38 cnf(c5, axiom,
% 0.21/0.38 ~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4) | c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)),X4))).
% 0.21/0.38 cnf(a0, assumption,
% 0.21/0.38 c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype) = X1).
% 0.21/0.38 cnf(a1, assumption,
% 0.21/0.38 c_Lambda_OdB_OVar(v_i____) = X2).
% 0.21/0.38 cnf(a2, assumption,
% 0.21/0.38 hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)),X4)).
% 0.21/0.38 cnf(c6, plain,
% 0.21/0.38 ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0),
% 0.21/0.38 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c4, c5])).
% 0.21/0.38 cnf(c7, plain,
% 0.21/0.38 ~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4),
% 0.21/0.38 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c4, c5])).
% 0.21/0.38
% 0.21/0.38 cnf(c8, axiom,
% 0.21/0.38 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))).
% 0.21/0.38 cnf(a3, assumption,
% 0.21/0.38 X1 = c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)).
% 0.21/0.38 cnf(a4, assumption,
% 0.21/0.38 hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____)).
% 0.21/0.38 cnf(a5, assumption,
% 0.21/0.38 X4 = c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 0.21/0.38 cnf(c9, plain,
% 0.21/0.38 $false,
% 0.21/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c7, c8])).
% 0.21/0.38 cnf(c10, plain,
% 0.21/0.38 $false,
% 0.21/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c7, c8])).
% 0.21/0.38
% 0.21/0.38 cnf(c11, axiom,
% 0.21/0.38 ~c_Type_Otyping(X5,hAPP(hAPP(c_Lambda_OdB_OApp,X6),X7),X8) | c_Type_Otyping(X5,X7,c_Type_Osko__Type__Xtyping__elims__2__1(X8,X5,X6,X7))).
% 0.21/0.38 cnf(a6, assumption,
% 0.21/0.38 c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype) = X5).
% 0.21/0.38 cnf(a7, assumption,
% 0.21/0.38 v_a____ = X7).
% 0.21/0.38 cnf(a8, assumption,
% 0.21/0.38 X0 = c_Type_Osko__Type__Xtyping__elims__2__1(X8,X5,X6,X7)).
% 0.21/0.38 cnf(c12, plain,
% 0.21/0.38 $false,
% 0.21/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c11])).
% 0.21/0.38 cnf(c13, plain,
% 0.21/0.38 ~c_Type_Otyping(X5,hAPP(hAPP(c_Lambda_OdB_OApp,X6),X7),X8),
% 0.21/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c11])).
% 0.21/0.38
% 0.21/0.38 cnf(c14, plain,
% 0.21/0.38 c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)).
% 0.21/0.38 cnf(a9, assumption,
% 0.21/0.38 X5 = X1).
% 0.21/0.38 cnf(a10, assumption,
% 0.21/0.38 hAPP(hAPP(c_Lambda_OdB_OApp,X6),X7) = hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)).
% 0.21/0.38 cnf(a11, assumption,
% 0.21/0.38 X8 = X4).
% 0.21/0.38 cnf(c15, plain,
% 0.21/0.38 $false,
% 0.21/0.38 inference(predicate_reduction, [assumptions([a9, a10, a11])], [c13, c14])).
% 0.21/0.38
% 0.21/0.38 cnf(c16, plain,
% 0.21/0.38 $false,
% 0.21/0.38 inference(constraint_solving, [
% 0.21/0.38 bind(X0, c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)),
% 0.21/0.38 bind(X1, c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),
% 0.21/0.38 bind(X2, c_Lambda_OdB_OVar(v_i____)),
% 0.21/0.38 bind(X3, v_a____),
% 0.21/0.38 bind(X4, c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
% 0.21/0.38 bind(X5, c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),
% 0.21/0.38 bind(X6, c_Lambda_OdB_OVar(v_i____)),
% 0.21/0.38 bind(X7, v_a____),
% 0.21/0.38 bind(X8, c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
% 0.21/0.38 ],
% 0.21/0.38 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])).
% 0.21/0.38
% 0.21/0.38 % SZS output end IncompleteProof
%------------------------------------------------------------------------------