TSTP Solution File: COL061-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL061-1 : 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 : n032.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 00:34:01 EDT 2022
% Result : Unsatisfiable 14.38s 2.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : COL061-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.09 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.07/0.28 % Computer : n032.cluster.edu
% 0.07/0.28 % Model : x86_64 x86_64
% 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28 % Memory : 8042.1875MB
% 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28 % CPULimit : 300
% 0.07/0.28 % WCLimit : 600
% 0.07/0.28 % DateTime : Tue May 31 07:59:43 EDT 2022
% 0.07/0.28 % CPUTime :
% 14.38/2.08 % SZS status Unsatisfiable
% 14.38/2.08 % SZS output begin IncompleteProof
% 14.38/2.08 cnf(c0, axiom,
% 14.38/2.08 apply(apply(apply(X0,f(X0)),g(X0)),h(X0)) != apply(f(X0),apply(h(X0),g(X0)))).
% 14.38/2.08 cnf(c1, plain,
% 14.38/2.08 apply(apply(apply(X0,f(X0)),g(X0)),h(X0)) != apply(f(X0),apply(h(X0),g(X0))),
% 14.38/2.08 inference(start, [], [c0])).
% 14.38/2.08
% 14.38/2.08 cnf(c2, axiom,
% 14.38/2.08 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))).
% 14.38/2.08 cnf(a0, assumption,
% 14.38/2.08 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)).
% 14.38/2.08 cnf(c3, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 14.38/2.08 cnf(c4, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 14.38/2.08 cnf(c5, plain,
% 14.38/2.08 X4 != apply(X1,apply(X2,X3)) | apply(apply(X4,g(X0)),h(X0)) != apply(f(X0),apply(h(X0),g(X0))),
% 14.38/2.08 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 14.38/2.08
% 14.38/2.08 cnf(c6, axiom,
% 14.38/2.08 apply(apply(apply(b,X5),X6),X7) = apply(X5,apply(X6,X7))).
% 14.38/2.08 cnf(a1, assumption,
% 14.38/2.08 apply(X2,X3) = apply(apply(apply(b,X5),X6),X7)).
% 14.38/2.08 cnf(c7, plain,
% 14.38/2.08 apply(apply(X4,g(X0)),h(X0)) != apply(f(X0),apply(h(X0),g(X0))),
% 14.38/2.08 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 14.38/2.08 cnf(c8, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 14.38/2.08 cnf(c9, plain,
% 14.38/2.08 X8 != apply(X5,apply(X6,X7)) | X4 != apply(X1,X8),
% 14.38/2.08 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 14.38/2.08
% 14.38/2.08 cnf(a2, assumption,
% 14.38/2.08 X8 = apply(X5,apply(X6,X7))).
% 14.38/2.08 cnf(c10, plain,
% 14.38/2.08 X4 != apply(X1,X8),
% 14.38/2.08 inference(reflexivity, [assumptions([a2])], [c9])).
% 14.38/2.08
% 14.38/2.08 cnf(a3, assumption,
% 14.38/2.08 X4 = apply(X1,X8)).
% 14.38/2.08 cnf(c11, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(reflexivity, [assumptions([a3])], [c10])).
% 14.38/2.08
% 14.38/2.08 cnf(c12, axiom,
% 14.38/2.08 apply(apply(apply(b,X9),X10),X11) = apply(X9,apply(X10,X11))).
% 14.38/2.08 cnf(a4, assumption,
% 14.38/2.08 apply(X12,X13) = apply(X4,g(X0))).
% 14.38/2.08 cnf(c13, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(lazy_function_extension, [assumptions([a4])], [c7, c12])).
% 14.38/2.08 cnf(c14, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(lazy_function_extension, [assumptions([a4])], [c7, c12])).
% 14.38/2.08 cnf(c15, plain,
% 14.38/2.08 X12 != apply(apply(b,X9),X10) | X13 != X11 | X14 != apply(X9,apply(X10,X11)) | apply(X14,h(X0)) != apply(f(X0),apply(h(X0),g(X0))),
% 14.38/2.08 inference(lazy_function_extension, [assumptions([a4])], [c7, c12])).
% 14.38/2.08
% 14.38/2.08 cnf(c16, axiom,
% 14.38/2.08 apply(apply(t,X15),X16) = apply(X16,X15)).
% 14.38/2.08 cnf(a5, assumption,
% 14.38/2.08 apply(apply(b,X9),X10) = apply(X16,X15)).
% 14.38/2.08 cnf(c17, plain,
% 14.38/2.08 X13 != X11 | X14 != apply(X9,apply(X10,X11)) | apply(X14,h(X0)) != apply(f(X0),apply(h(X0),g(X0))),
% 14.38/2.08 inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 14.38/2.08 cnf(c18, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 14.38/2.08 cnf(c19, plain,
% 14.38/2.08 X17 != apply(apply(t,X15),X16) | X12 != X17,
% 14.38/2.08 inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 14.38/2.08
% 14.38/2.08 cnf(a6, assumption,
% 14.38/2.08 X17 = apply(apply(t,X15),X16)).
% 14.38/2.08 cnf(c20, plain,
% 14.38/2.08 X12 != X17,
% 14.38/2.08 inference(reflexivity, [assumptions([a6])], [c19])).
% 14.38/2.08
% 14.38/2.08 cnf(a7, assumption,
% 14.38/2.08 X12 = X17).
% 14.38/2.08 cnf(c21, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(reflexivity, [assumptions([a7])], [c20])).
% 14.38/2.08
% 14.38/2.08 cnf(a8, assumption,
% 14.38/2.08 X13 = X11).
% 14.38/2.08 cnf(c22, plain,
% 14.38/2.08 X14 != apply(X9,apply(X10,X11)) | apply(X14,h(X0)) != apply(f(X0),apply(h(X0),g(X0))),
% 14.38/2.08 inference(reflexivity, [assumptions([a8])], [c17])).
% 14.38/2.08
% 14.38/2.08 cnf(a9, assumption,
% 14.38/2.08 X14 = apply(X9,apply(X10,X11))).
% 14.38/2.08 cnf(c23, plain,
% 14.38/2.08 apply(X14,h(X0)) != apply(f(X0),apply(h(X0),g(X0))),
% 14.38/2.08 inference(reflexivity, [assumptions([a9])], [c22])).
% 14.38/2.08
% 14.38/2.08 cnf(c24, axiom,
% 14.38/2.08 apply(apply(apply(b,X18),X19),X20) = apply(X18,apply(X19,X20))).
% 14.38/2.08 cnf(a10, assumption,
% 14.38/2.08 apply(X14,h(X0)) = apply(apply(apply(b,X18),X19),X20)).
% 14.38/2.08 cnf(c25, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(strict_function_extension, [assumptions([a10])], [c23, c24])).
% 14.38/2.08 cnf(c26, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(strict_function_extension, [assumptions([a10])], [c23, c24])).
% 14.38/2.08 cnf(c27, plain,
% 14.38/2.08 X21 != apply(X18,apply(X19,X20)) | X21 != apply(f(X0),apply(h(X0),g(X0))),
% 14.38/2.08 inference(strict_function_extension, [assumptions([a10])], [c23, c24])).
% 14.38/2.08
% 14.38/2.08 cnf(c28, axiom,
% 14.38/2.08 apply(apply(t,X22),X23) = apply(X23,X22)).
% 14.38/2.08 cnf(a11, assumption,
% 14.38/2.08 apply(X19,X20) = apply(apply(t,X22),X23)).
% 14.38/2.08 cnf(c29, plain,
% 14.38/2.08 X21 != apply(f(X0),apply(h(X0),g(X0))),
% 14.38/2.08 inference(strict_function_extension, [assumptions([a11])], [c27, c28])).
% 14.38/2.08 cnf(c30, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(strict_function_extension, [assumptions([a11])], [c27, c28])).
% 14.38/2.08 cnf(c31, plain,
% 14.38/2.08 X24 != apply(X23,X22) | X21 != apply(X18,X24),
% 14.38/2.08 inference(strict_function_extension, [assumptions([a11])], [c27, c28])).
% 14.38/2.08
% 14.38/2.08 cnf(a12, assumption,
% 14.38/2.08 X24 = apply(X23,X22)).
% 14.38/2.08 cnf(c32, plain,
% 14.38/2.08 X21 != apply(X18,X24),
% 14.38/2.08 inference(reflexivity, [assumptions([a12])], [c31])).
% 14.38/2.08
% 14.38/2.08 cnf(a13, assumption,
% 14.38/2.08 X21 = apply(X18,X24)).
% 14.38/2.08 cnf(c33, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(reflexivity, [assumptions([a13])], [c32])).
% 14.38/2.08
% 14.38/2.08 cnf(a14, assumption,
% 14.38/2.08 X21 = apply(f(X0),apply(h(X0),g(X0)))).
% 14.38/2.08 cnf(c34, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(reflexivity, [assumptions([a14])], [c29])).
% 14.38/2.08
% 14.38/2.08 cnf(c35, plain,
% 14.38/2.08 $false,
% 14.38/2.08 inference(constraint_solving, [
% 14.38/2.08 bind(X0, apply(apply(b,X1),X2)),
% 14.38/2.08 bind(X1, apply(t,X15)),
% 14.38/2.08 bind(X2, apply(apply(b,X5),X6)),
% 14.38/2.08 bind(X3, f(X0)),
% 14.38/2.08 bind(X4, apply(X1,X8)),
% 14.38/2.08 bind(X5, b),
% 14.38/2.08 bind(X6, b),
% 14.38/2.08 bind(X7, f(X0)),
% 14.38/2.08 bind(X8, apply(X5,apply(X6,X7))),
% 14.38/2.08 bind(X9, apply(X6,X7)),
% 14.38/2.08 bind(X10, t),
% 14.38/2.08 bind(X11, g(X0)),
% 14.38/2.08 bind(X14, apply(X9,apply(X10,X11))),
% 14.38/2.08 bind(X12, apply(X1,X8)),
% 14.38/2.08 bind(X13, g(X0)),
% 14.38/2.08 bind(X15, t),
% 14.38/2.08 bind(X16, apply(b,X9)),
% 14.38/2.08 bind(X17, apply(apply(t,X15),X16)),
% 14.38/2.08 bind(X18, f(X0)),
% 14.38/2.08 bind(X19, apply(X10,X11)),
% 14.38/2.08 bind(X20, h(X0)),
% 14.38/2.08 bind(X21, apply(X18,X24)),
% 14.38/2.08 bind(X22, g(X0)),
% 14.38/2.08 bind(X23, h(X0)),
% 14.38/2.08 bind(X24, apply(X23,X22))
% 14.38/2.08 ],
% 14.38/2.08 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 14.38/2.08
% 14.38/2.08 % SZS output end IncompleteProof
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