TSTP Solution File: COL036-1 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL036-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n025.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 : Fri Jul 15 00:33:57 EDT 2022
% Result : Unsatisfiable 143.67s 18.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COL036-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n025.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 : Tue May 31 05:00:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 143.67/18.51 % SZS status Unsatisfiable
% 143.67/18.51 % SZS output begin IncompleteProof
% 143.67/18.51 cnf(c0, axiom,
% 143.67/18.51 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0)))).
% 143.67/18.51 cnf(c1, plain,
% 143.67/18.51 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
% 143.67/18.51 inference(start, [], [c0])).
% 143.67/18.51
% 143.67/18.51 cnf(c2, axiom,
% 143.67/18.51 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))).
% 143.67/18.51 cnf(a0, assumption,
% 143.67/18.51 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)).
% 143.67/18.51 cnf(c3, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 143.67/18.51 cnf(c4, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 143.67/18.51 cnf(c5, plain,
% 143.67/18.51 X4 != apply(X1,apply(X2,X3)) | apply(X0,f(X0)) != apply(f(X0),X4),
% 143.67/18.51 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 143.67/18.51
% 143.67/18.51 cnf(a1, assumption,
% 143.67/18.51 X4 = apply(X1,apply(X2,X3))).
% 143.67/18.51 cnf(c6, plain,
% 143.67/18.51 apply(X0,f(X0)) != apply(f(X0),X4),
% 143.67/18.51 inference(reflexivity, [assumptions([a1])], [c5])).
% 143.67/18.51
% 143.67/18.51 cnf(c7, axiom,
% 143.67/18.51 apply(apply(apply(b,X5),X6),X7) = apply(X5,apply(X6,X7))).
% 143.67/18.51 cnf(a2, assumption,
% 143.67/18.51 apply(X8,X9) = apply(f(X0),X4)).
% 143.67/18.51 cnf(c8, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(lazy_function_extension, [assumptions([a2])], [c6, c7])).
% 143.67/18.51 cnf(c9, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(lazy_function_extension, [assumptions([a2])], [c6, c7])).
% 143.67/18.51 cnf(c10, plain,
% 143.67/18.51 X8 != X5 | X9 != apply(X6,X7) | X10 != apply(apply(apply(b,X5),X6),X7) | apply(X0,f(X0)) != X10,
% 143.67/18.51 inference(lazy_function_extension, [assumptions([a2])], [c6, c7])).
% 143.67/18.51
% 143.67/18.51 cnf(a3, assumption,
% 143.67/18.51 X8 = X5).
% 143.67/18.51 cnf(c11, plain,
% 143.67/18.51 X9 != apply(X6,X7) | X10 != apply(apply(apply(b,X5),X6),X7) | apply(X0,f(X0)) != X10,
% 143.67/18.51 inference(reflexivity, [assumptions([a3])], [c10])).
% 143.67/18.51
% 143.67/18.51 cnf(c12, axiom,
% 143.67/18.51 apply(apply(apply(s,X11),X12),X13) = apply(apply(X11,X13),apply(X12,X13))).
% 143.67/18.51 cnf(a4, assumption,
% 143.67/18.51 apply(X6,X7) = apply(apply(X11,X13),apply(X12,X13))).
% 143.67/18.51 cnf(c13, plain,
% 143.67/18.51 X10 != apply(apply(apply(b,X5),X6),X7) | apply(X0,f(X0)) != X10,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a4])], [c11, c12])).
% 143.67/18.51 cnf(c14, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a4])], [c11, c12])).
% 143.67/18.51 cnf(c15, plain,
% 143.67/18.51 X14 != apply(apply(apply(s,X11),X12),X13) | X9 != X14,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a4])], [c11, c12])).
% 143.67/18.51
% 143.67/18.51 cnf(a5, assumption,
% 143.67/18.51 X14 = apply(apply(apply(s,X11),X12),X13)).
% 143.67/18.51 cnf(c16, plain,
% 143.67/18.51 X9 != X14,
% 143.67/18.51 inference(reflexivity, [assumptions([a5])], [c15])).
% 143.67/18.51
% 143.67/18.51 cnf(a6, assumption,
% 143.67/18.51 X9 = X14).
% 143.67/18.51 cnf(c17, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(reflexivity, [assumptions([a6])], [c16])).
% 143.67/18.51
% 143.67/18.51 cnf(c18, axiom,
% 143.67/18.51 apply(apply(t,X15),X16) = apply(X16,X15)).
% 143.67/18.51 cnf(a7, assumption,
% 143.67/18.51 apply(apply(apply(b,X5),X6),X7) = apply(X16,X15)).
% 143.67/18.51 cnf(c19, plain,
% 143.67/18.51 apply(X0,f(X0)) != X10,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a7])], [c13, c18])).
% 143.67/18.51 cnf(c20, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a7])], [c13, c18])).
% 143.67/18.51 cnf(c21, plain,
% 143.67/18.51 X17 != apply(apply(t,X15),X16) | X10 != X17,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a7])], [c13, c18])).
% 143.67/18.51
% 143.67/18.51 cnf(c22, axiom,
% 143.67/18.51 apply(apply(apply(s,X18),X19),X20) = apply(apply(X18,X20),apply(X19,X20))).
% 143.67/18.51 cnf(a8, assumption,
% 143.67/18.51 apply(apply(t,X15),X16) = apply(apply(X18,X20),apply(X19,X20))).
% 143.67/18.51 cnf(c23, plain,
% 143.67/18.51 X10 != X17,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a8])], [c21, c22])).
% 143.67/18.51 cnf(c24, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a8])], [c21, c22])).
% 143.67/18.51 cnf(c25, plain,
% 143.67/18.51 X21 != apply(apply(apply(s,X18),X19),X20) | X17 != X21,
% 143.67/18.51 inference(strict_function_extension, [assumptions([a8])], [c21, c22])).
% 143.67/18.51
% 143.67/18.51 cnf(c26, plain,
% 143.67/18.51 X9 = apply(X6,X7)).
% 143.67/18.51 cnf(a9, assumption,
% 143.67/18.51 apply(apply(apply(s,X18),X19),X20) = apply(X6,X7)).
% 143.67/18.51 cnf(c27, plain,
% 143.67/18.51 X17 != X21,
% 143.67/18.51 inference(equality_reduction, [assumptions([a9])], [c25, c26])).
% 143.67/18.51 cnf(c28, plain,
% 143.67/18.51 X21 != X9,
% 143.67/18.51 inference(equality_reduction, [assumptions([a9])], [c25, c26])).
% 143.67/18.51
% 143.67/18.51 cnf(a10, assumption,
% 143.67/18.51 X21 = X9).
% 143.67/18.51 cnf(c29, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(reflexivity, [assumptions([a10])], [c28])).
% 143.67/18.51
% 143.67/18.51 cnf(a11, assumption,
% 143.67/18.51 X17 = X21).
% 143.67/18.51 cnf(c30, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(reflexivity, [assumptions([a11])], [c27])).
% 143.67/18.51
% 143.67/18.51 cnf(a12, assumption,
% 143.67/18.51 X10 = X17).
% 143.67/18.51 cnf(c31, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(reflexivity, [assumptions([a12])], [c23])).
% 143.67/18.51
% 143.67/18.51 cnf(c32, plain,
% 143.67/18.51 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))).
% 143.67/18.51 cnf(a13, assumption,
% 143.67/18.51 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)).
% 143.67/18.51 cnf(a14, assumption,
% 143.67/18.51 apply(X1,apply(X2,X3)) = X22).
% 143.67/18.51 cnf(c33, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(equality_reduction, [assumptions([a13, a14])], [c19, c32])).
% 143.67/18.51 cnf(c34, plain,
% 143.67/18.51 X22 != X10,
% 143.67/18.51 inference(equality_reduction, [assumptions([a13, a14])], [c19, c32])).
% 143.67/18.51
% 143.67/18.51 cnf(a15, assumption,
% 143.67/18.51 X22 = X10).
% 143.67/18.51 cnf(c35, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(reflexivity, [assumptions([a15])], [c34])).
% 143.67/18.51
% 143.67/18.51 cnf(c36, plain,
% 143.67/18.51 $false,
% 143.67/18.51 inference(constraint_solving, [
% 143.67/18.51 bind(X0, apply(apply(b,X1),X2)),
% 143.67/18.51 bind(X1, apply(apply(s,X11),X12)),
% 143.67/18.51 bind(X2, b),
% 143.67/18.51 bind(X3, f(X0)),
% 143.67/18.51 bind(X4, apply(X1,apply(X2,X3))),
% 143.67/18.51 bind(X5, f(X0)),
% 143.67/18.51 bind(X6, apply(X11,X13)),
% 143.67/18.51 bind(X7, apply(X12,X13)),
% 143.67/18.51 bind(X10, apply(X1,apply(X2,X3))),
% 143.67/18.51 bind(X8, f(X0)),
% 143.67/18.51 bind(X9, apply(X1,apply(X2,X3))),
% 143.67/18.51 bind(X11, apply(s,X18)),
% 143.67/18.51 bind(X12, apply(s,X18)),
% 143.67/18.51 bind(X13, apply(X2,X3)),
% 143.67/18.51 bind(X14, apply(apply(apply(s,X11),X12),X13)),
% 143.67/18.51 bind(X15, apply(X12,X13)),
% 143.67/18.51 bind(X16, apply(apply(b,X5),X6)),
% 143.67/18.51 bind(X17, apply(X1,apply(X2,X3))),
% 143.67/18.51 bind(X18, t),
% 143.67/18.51 bind(X19, apply(b,X5)),
% 143.67/18.51 bind(X20, apply(X12,X13)),
% 143.67/18.51 bind(X21, apply(X1,apply(X2,X3))),
% 143.67/18.51 bind(X22, apply(X1,apply(X2,X3)))
% 143.67/18.51 ],
% 143.67/18.51 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])).
% 143.67/18.51
% 143.67/18.51 % SZS output end IncompleteProof
%------------------------------------------------------------------------------