TSTP Solution File: COL061-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL061-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n021.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 2.20s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL061-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 16:04:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.20/0.61 % SZS status Unsatisfiable
% 2.20/0.61 % SZS output begin IncompleteProof
% 2.20/0.61 cnf(c0, axiom,
% 2.20/0.61 apply(apply(apply(apply(apply(b,apply(t,t)),apply(apply(b,b),b)),x),y),z) != apply(x,apply(z,y))).
% 2.20/0.61 cnf(c1, plain,
% 2.20/0.61 apply(apply(apply(apply(apply(b,apply(t,t)),apply(apply(b,b),b)),x),y),z) != apply(x,apply(z,y)),
% 2.20/0.61 inference(start, [], [c0])).
% 2.20/0.61
% 2.20/0.61 cnf(c2, axiom,
% 2.20/0.61 apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))).
% 2.20/0.61 cnf(a0, assumption,
% 2.20/0.61 apply(apply(apply(b,apply(t,t)),apply(apply(b,b),b)),x) = apply(apply(apply(b,X0),X1),X2)).
% 2.20/0.61 cnf(c3, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 2.20/0.61 cnf(c4, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 2.20/0.61 cnf(c5, plain,
% 2.20/0.61 X3 != apply(X0,apply(X1,X2)) | apply(apply(X3,y),z) != apply(x,apply(z,y)),
% 2.20/0.61 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 2.20/0.61
% 2.20/0.61 cnf(c6, axiom,
% 2.20/0.61 apply(apply(apply(b,X4),X5),X6) = apply(X4,apply(X5,X6))).
% 2.20/0.61 cnf(a1, assumption,
% 2.20/0.61 apply(X1,X2) = apply(apply(apply(b,X4),X5),X6)).
% 2.20/0.61 cnf(c7, plain,
% 2.20/0.61 apply(apply(X3,y),z) != apply(x,apply(z,y)),
% 2.20/0.61 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 2.20/0.61 cnf(c8, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 2.20/0.61 cnf(c9, plain,
% 2.20/0.61 X7 != apply(X4,apply(X5,X6)) | X3 != apply(X0,X7),
% 2.20/0.61 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 2.20/0.61
% 2.20/0.61 cnf(a2, assumption,
% 2.20/0.61 X7 = apply(X4,apply(X5,X6))).
% 2.20/0.61 cnf(c10, plain,
% 2.20/0.61 X3 != apply(X0,X7),
% 2.20/0.61 inference(reflexivity, [assumptions([a2])], [c9])).
% 2.20/0.61
% 2.20/0.61 cnf(c11, axiom,
% 2.20/0.61 apply(apply(t,X8),X9) = apply(X9,X8)).
% 2.20/0.61 cnf(a3, assumption,
% 2.20/0.61 apply(X0,X7) = apply(apply(t,X8),X9)).
% 2.20/0.61 cnf(c12, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 2.20/0.61 cnf(c13, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 2.20/0.61 cnf(c14, plain,
% 2.20/0.61 X10 != apply(X9,X8) | X3 != X10,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 2.20/0.61
% 2.20/0.61 cnf(a4, assumption,
% 2.20/0.61 X10 = apply(X9,X8)).
% 2.20/0.61 cnf(c15, plain,
% 2.20/0.61 X3 != X10,
% 2.20/0.61 inference(reflexivity, [assumptions([a4])], [c14])).
% 2.20/0.61
% 2.20/0.61 cnf(a5, assumption,
% 2.20/0.61 X3 = X10).
% 2.20/0.61 cnf(c16, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(reflexivity, [assumptions([a5])], [c15])).
% 2.20/0.61
% 2.20/0.61 cnf(c17, axiom,
% 2.20/0.61 apply(apply(apply(b,X11),X12),X13) = apply(X11,apply(X12,X13))).
% 2.20/0.61 cnf(a6, assumption,
% 2.20/0.61 apply(X3,y) = apply(apply(apply(b,X11),X12),X13)).
% 2.20/0.61 cnf(c18, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a6])], [c7, c17])).
% 2.20/0.61 cnf(c19, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a6])], [c7, c17])).
% 2.20/0.61 cnf(c20, plain,
% 2.20/0.61 X14 != apply(X11,apply(X12,X13)) | apply(X14,z) != apply(x,apply(z,y)),
% 2.20/0.61 inference(strict_function_extension, [assumptions([a6])], [c7, c17])).
% 2.20/0.61
% 2.20/0.61 cnf(a7, assumption,
% 2.20/0.61 X14 = apply(X11,apply(X12,X13))).
% 2.20/0.61 cnf(c21, plain,
% 2.20/0.61 apply(X14,z) != apply(x,apply(z,y)),
% 2.20/0.61 inference(reflexivity, [assumptions([a7])], [c20])).
% 2.20/0.61
% 2.20/0.61 cnf(c22, axiom,
% 2.20/0.61 apply(apply(apply(b,X15),X16),X17) = apply(X15,apply(X16,X17))).
% 2.20/0.61 cnf(a8, assumption,
% 2.20/0.61 apply(X14,z) = apply(apply(apply(b,X15),X16),X17)).
% 2.20/0.61 cnf(c23, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a8])], [c21, c22])).
% 2.20/0.61 cnf(c24, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a8])], [c21, c22])).
% 2.20/0.61 cnf(c25, plain,
% 2.20/0.61 X18 != apply(X15,apply(X16,X17)) | X18 != apply(x,apply(z,y)),
% 2.20/0.61 inference(strict_function_extension, [assumptions([a8])], [c21, c22])).
% 2.20/0.61
% 2.20/0.61 cnf(c26, axiom,
% 2.20/0.61 apply(apply(t,X19),X20) = apply(X20,X19)).
% 2.20/0.61 cnf(a9, assumption,
% 2.20/0.61 apply(X16,X17) = apply(apply(t,X19),X20)).
% 2.20/0.61 cnf(c27, plain,
% 2.20/0.61 X18 != apply(x,apply(z,y)),
% 2.20/0.61 inference(strict_function_extension, [assumptions([a9])], [c25, c26])).
% 2.20/0.61 cnf(c28, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(strict_function_extension, [assumptions([a9])], [c25, c26])).
% 2.20/0.61 cnf(c29, plain,
% 2.20/0.61 X21 != apply(X20,X19) | X18 != apply(X15,X21),
% 2.20/0.61 inference(strict_function_extension, [assumptions([a9])], [c25, c26])).
% 2.20/0.61
% 2.20/0.61 cnf(a10, assumption,
% 2.20/0.61 X21 = apply(X20,X19)).
% 2.20/0.61 cnf(c30, plain,
% 2.20/0.61 X18 != apply(X15,X21),
% 2.20/0.61 inference(reflexivity, [assumptions([a10])], [c29])).
% 2.20/0.61
% 2.20/0.61 cnf(a11, assumption,
% 2.20/0.61 X18 = apply(X15,X21)).
% 2.20/0.61 cnf(c31, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(reflexivity, [assumptions([a11])], [c30])).
% 2.20/0.61
% 2.20/0.61 cnf(a12, assumption,
% 2.20/0.61 X18 = apply(x,apply(z,y))).
% 2.20/0.61 cnf(c32, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(reflexivity, [assumptions([a12])], [c27])).
% 2.20/0.61
% 2.20/0.61 cnf(c33, plain,
% 2.20/0.61 $false,
% 2.20/0.61 inference(constraint_solving, [
% 2.20/0.61 bind(X0, apply(t,t)),
% 2.20/0.61 bind(X1, apply(apply(b,b),b)),
% 2.20/0.61 bind(X2, x),
% 2.20/0.61 bind(X3, apply(X9,X8)),
% 2.20/0.61 bind(X4, b),
% 2.20/0.61 bind(X5, b),
% 2.20/0.61 bind(X6, x),
% 2.20/0.61 bind(X7, apply(X4,apply(X5,X6))),
% 2.20/0.61 bind(X8, t),
% 2.20/0.61 bind(X9, apply(X4,apply(X5,X6))),
% 2.20/0.61 bind(X10, apply(X9,X8)),
% 2.20/0.61 bind(X11, apply(X5,X6)),
% 2.20/0.61 bind(X12, t),
% 2.20/0.61 bind(X13, y),
% 2.20/0.61 bind(X14, apply(X11,apply(X12,X13))),
% 2.20/0.61 bind(X15, x),
% 2.20/0.61 bind(X16, apply(X12,X13)),
% 2.20/0.61 bind(X17, z),
% 2.20/0.61 bind(X18, apply(X15,X21)),
% 2.20/0.61 bind(X19, y),
% 2.20/0.61 bind(X20, z),
% 2.20/0.61 bind(X21, apply(X20,X19))
% 2.20/0.61 ],
% 2.20/0.61 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])).
% 2.20/0.61
% 2.20/0.61 % SZS output end IncompleteProof
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