TSTP Solution File: GRP194+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n017.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 : Sat Jul 16 10:09:39 EDT 2022
% Result : Theorem 57.30s 7.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n017.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 : Mon Jun 13 11:31:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 57.30/7.58 % SZS status Theorem
% 57.30/7.58 % SZS output begin IncompleteProof
% 57.30/7.58 cnf(c0, axiom,
% 57.30/7.58 ~left_zero(h,phi(f_left_zero))).
% 57.30/7.58 cnf(c1, plain,
% 57.30/7.58 ~left_zero(h,phi(f_left_zero)),
% 57.30/7.58 inference(start, [], [c0])).
% 57.30/7.58
% 57.30/7.58 cnf(c2, axiom,
% 57.30/7.58 left_zero(X0,X1) | ~sP0(X1,X0)).
% 57.30/7.58 cnf(a0, assumption,
% 57.30/7.58 h = X0).
% 57.30/7.58 cnf(a1, assumption,
% 57.30/7.58 phi(f_left_zero) = X1).
% 57.30/7.58 cnf(c3, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 57.30/7.58 cnf(c4, plain,
% 57.30/7.58 ~sP0(X1,X0),
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 57.30/7.58
% 57.30/7.58 cnf(c5, axiom,
% 57.30/7.58 sP0(X2,X3) | group_member(sK2(X2,X3),X3) | ~group_member(X2,X3)).
% 57.30/7.58 cnf(a2, assumption,
% 57.30/7.58 X1 = X2).
% 57.30/7.58 cnf(a3, assumption,
% 57.30/7.58 X0 = X3).
% 57.30/7.58 cnf(c6, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 57.30/7.58 cnf(c7, plain,
% 57.30/7.58 group_member(sK2(X2,X3),X3) | ~group_member(X2,X3),
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 57.30/7.58
% 57.30/7.58 cnf(c8, axiom,
% 57.30/7.58 group_member(sK1(X4),f) | ~group_member(X4,h)).
% 57.30/7.58 cnf(a4, assumption,
% 57.30/7.58 sK2(X2,X3) = X4).
% 57.30/7.58 cnf(a5, assumption,
% 57.30/7.58 X3 = h).
% 57.30/7.58 cnf(c9, plain,
% 57.30/7.58 ~group_member(X2,X3),
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 57.30/7.58 cnf(c10, plain,
% 57.30/7.58 group_member(sK1(X4),f),
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 57.30/7.58
% 57.30/7.58 cnf(c11, axiom,
% 57.30/7.58 multiply(X5,X6,X7) = X6 | ~group_member(X7,X5) | ~sP0(X6,X5)).
% 57.30/7.58 cnf(a6, assumption,
% 57.30/7.58 sK1(X4) = X7).
% 57.30/7.58 cnf(a7, assumption,
% 57.30/7.58 f = X5).
% 57.30/7.58 cnf(c12, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 57.30/7.58 cnf(c13, plain,
% 57.30/7.58 multiply(X5,X6,X7) = X6 | ~sP0(X6,X5),
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 57.30/7.58
% 57.30/7.58 cnf(c14, axiom,
% 57.30/7.58 multiply(h,phi(X8),phi(X9)) = phi(multiply(f,X8,X9)) | ~group_member(X9,f) | ~group_member(X8,f)).
% 57.30/7.58 cnf(a8, assumption,
% 57.30/7.58 multiply(f,X8,X9) = multiply(X5,X6,X7)).
% 57.30/7.58 cnf(c15, plain,
% 57.30/7.58 ~sP0(X6,X5),
% 57.30/7.58 inference(strict_subterm_extension, [assumptions([a8])], [c13, c14])).
% 57.30/7.58 cnf(c16, plain,
% 57.30/7.58 ~group_member(X9,f) | ~group_member(X8,f),
% 57.30/7.58 inference(strict_subterm_extension, [assumptions([a8])], [c13, c14])).
% 57.30/7.58 cnf(c17, plain,
% 57.30/7.58 multiply(h,phi(X8),phi(X9)) = phi(X6),
% 57.30/7.58 inference(strict_subterm_extension, [assumptions([a8])], [c13, c14])).
% 57.30/7.58
% 57.30/7.58 cnf(c18, axiom,
% 57.30/7.58 phi(sK1(X10)) = X10 | ~group_member(X10,h)).
% 57.30/7.58 cnf(a9, assumption,
% 57.30/7.58 phi(X9) = phi(sK1(X10))).
% 57.30/7.58 cnf(c19, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(strict_function_extension, [assumptions([a9])], [c17, c18])).
% 57.30/7.58 cnf(c20, plain,
% 57.30/7.58 ~group_member(X10,h),
% 57.30/7.58 inference(strict_function_extension, [assumptions([a9])], [c17, c18])).
% 57.30/7.58 cnf(c21, plain,
% 57.30/7.58 X11 != X10 | multiply(h,phi(X8),X11) = phi(X6),
% 57.30/7.58 inference(strict_function_extension, [assumptions([a9])], [c17, c18])).
% 57.30/7.58
% 57.30/7.58 cnf(a10, assumption,
% 57.30/7.58 X11 = X10).
% 57.30/7.58 cnf(c22, plain,
% 57.30/7.58 multiply(h,phi(X8),X11) = phi(X6),
% 57.30/7.58 inference(reflexivity, [assumptions([a10])], [c21])).
% 57.30/7.58
% 57.30/7.58 cnf(c23, axiom,
% 57.30/7.58 sP0(X12,X13) | multiply(X13,X12,sK2(X12,X13)) != X12 | ~group_member(X12,X13)).
% 57.30/7.58 cnf(a11, assumption,
% 57.30/7.58 multiply(X13,X12,sK2(X12,X13)) = multiply(h,phi(X8),X11)).
% 57.30/7.58 cnf(a12, assumption,
% 57.30/7.58 phi(X6) = X14).
% 57.30/7.58 cnf(c24, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(strict_subterm_extension, [assumptions([a11, a12])], [c22, c23])).
% 57.30/7.58 cnf(c25, plain,
% 57.30/7.58 sP0(X12,X13) | ~group_member(X12,X13),
% 57.30/7.58 inference(strict_subterm_extension, [assumptions([a11, a12])], [c22, c23])).
% 57.30/7.58 cnf(c26, plain,
% 57.30/7.58 X14 != X12,
% 57.30/7.58 inference(strict_subterm_extension, [assumptions([a11, a12])], [c22, c23])).
% 57.30/7.58
% 57.30/7.58 cnf(a13, assumption,
% 57.30/7.58 X14 = X12).
% 57.30/7.58 cnf(c27, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(reflexivity, [assumptions([a13])], [c26])).
% 57.30/7.58
% 57.30/7.58 cnf(c28, plain,
% 57.30/7.58 ~sP0(X1,X0)).
% 57.30/7.58 cnf(a14, assumption,
% 57.30/7.58 X12 = X1).
% 57.30/7.58 cnf(a15, assumption,
% 57.30/7.58 X13 = X0).
% 57.30/7.58 cnf(c29, plain,
% 57.30/7.58 ~group_member(X12,X13),
% 57.30/7.58 inference(predicate_reduction, [assumptions([a14, a15])], [c25, c28])).
% 57.30/7.58
% 57.30/7.58 cnf(c30, axiom,
% 57.30/7.58 group_member(phi(X15),h) | ~group_member(X15,f)).
% 57.30/7.58 cnf(a16, assumption,
% 57.30/7.58 X12 = phi(X15)).
% 57.30/7.58 cnf(a17, assumption,
% 57.30/7.58 X13 = h).
% 57.30/7.58 cnf(c31, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a16, a17])], [c29, c30])).
% 57.30/7.58 cnf(c32, plain,
% 57.30/7.58 ~group_member(X15,f),
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a16, a17])], [c29, c30])).
% 57.30/7.58
% 57.30/7.58 cnf(c33, axiom,
% 57.30/7.58 group_member(X16,X17) | ~sP0(X16,X17)).
% 57.30/7.58 cnf(a18, assumption,
% 57.30/7.58 X15 = X16).
% 57.30/7.58 cnf(a19, assumption,
% 57.30/7.58 f = X17).
% 57.30/7.58 cnf(c34, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a18, a19])], [c32, c33])).
% 57.30/7.58 cnf(c35, plain,
% 57.30/7.58 ~sP0(X16,X17),
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a18, a19])], [c32, c33])).
% 57.30/7.58
% 57.30/7.58 cnf(c36, axiom,
% 57.30/7.58 sP0(X18,X19) | ~left_zero(X19,X18)).
% 57.30/7.58 cnf(a20, assumption,
% 57.30/7.58 X16 = X18).
% 57.30/7.58 cnf(a21, assumption,
% 57.30/7.58 X17 = X19).
% 57.30/7.58 cnf(c37, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a20, a21])], [c35, c36])).
% 57.30/7.58 cnf(c38, plain,
% 57.30/7.58 ~left_zero(X19,X18),
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a20, a21])], [c35, c36])).
% 57.30/7.58
% 57.30/7.58 cnf(c39, axiom,
% 57.30/7.58 left_zero(f,f_left_zero)).
% 57.30/7.58 cnf(a22, assumption,
% 57.30/7.58 X19 = f).
% 57.30/7.58 cnf(a23, assumption,
% 57.30/7.58 X18 = f_left_zero).
% 57.30/7.58 cnf(c40, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a22, a23])], [c38, c39])).
% 57.30/7.58 cnf(c41, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(strict_predicate_extension, [assumptions([a22, a23])], [c38, c39])).
% 57.30/7.58
% 57.30/7.58 cnf(c42, plain,
% 57.30/7.58 group_member(sK2(X2,X3),X3)).
% 57.30/7.58 cnf(a24, assumption,
% 57.30/7.58 X10 = sK2(X2,X3)).
% 57.30/7.58 cnf(a25, assumption,
% 57.30/7.58 h = X3).
% 57.30/7.58 cnf(c43, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(predicate_reduction, [assumptions([a24, a25])], [c20, c42])).
% 57.30/7.58
% 57.30/7.58 cnf(c44, plain,
% 57.30/7.58 group_member(sK1(X4),f)).
% 57.30/7.58 cnf(a26, assumption,
% 57.30/7.58 X9 = sK1(X4)).
% 57.30/7.58 cnf(a27, assumption,
% 57.30/7.58 f = f).
% 57.30/7.58 cnf(c45, plain,
% 57.30/7.58 ~group_member(X8,f),
% 57.30/7.58 inference(predicate_reduction, [assumptions([a26, a27])], [c16, c44])).
% 57.30/7.58
% 57.30/7.58 cnf(c46, plain,
% 57.30/7.58 group_member(X15,f)).
% 57.30/7.58 cnf(a28, assumption,
% 57.30/7.58 X8 = X15).
% 57.30/7.58 cnf(a29, assumption,
% 57.30/7.58 f = f).
% 57.30/7.58 cnf(c47, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(predicate_reduction, [assumptions([a28, a29])], [c45, c46])).
% 57.30/7.58
% 57.30/7.58 cnf(c48, plain,
% 57.30/7.58 sP0(X16,X17)).
% 57.30/7.58 cnf(a30, assumption,
% 57.30/7.58 X6 = X16).
% 57.30/7.58 cnf(a31, assumption,
% 57.30/7.58 X5 = X17).
% 57.30/7.58 cnf(c49, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(predicate_reduction, [assumptions([a30, a31])], [c15, c48])).
% 57.30/7.58
% 57.30/7.58 cnf(c50, plain,
% 57.30/7.58 group_member(X12,X13)).
% 57.30/7.58 cnf(a32, assumption,
% 57.30/7.58 X2 = X12).
% 57.30/7.58 cnf(a33, assumption,
% 57.30/7.58 X3 = X13).
% 57.30/7.58 cnf(c51, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(predicate_reduction, [assumptions([a32, a33])], [c9, c50])).
% 57.30/7.58
% 57.30/7.58 cnf(c52, plain,
% 57.30/7.58 $false,
% 57.30/7.58 inference(constraint_solving, [
% 57.30/7.58 bind(X0, h),
% 57.30/7.58 bind(X1, phi(f_left_zero)),
% 57.30/7.58 bind(X2, phi(f_left_zero)),
% 57.30/7.58 bind(X3, h),
% 57.30/7.58 bind(X4, sK2(X2,X3)),
% 57.30/7.58 bind(X5, f),
% 57.30/7.58 bind(X6, f_left_zero),
% 57.30/7.58 bind(X7, sK1(X4)),
% 57.30/7.58 bind(X8, f_left_zero),
% 57.30/7.58 bind(X9, sK1(X4)),
% 57.30/7.58 bind(X10, sK2(X2,X3)),
% 57.30/7.58 bind(X11, sK2(X2,X3)),
% 57.30/7.58 bind(X12, phi(X8)),
% 57.30/7.58 bind(X13, h),
% 57.30/7.58 bind(X14, phi(X6)),
% 57.30/7.58 bind(X15, f_left_zero),
% 57.30/7.58 bind(X16, f_left_zero),
% 57.30/7.58 bind(X17, f),
% 57.30/7.58 bind(X18, f_left_zero),
% 57.30/7.58 bind(X19, f)
% 57.30/7.58 ],
% 57.30/7.58 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33])).
% 57.30/7.58
% 57.30/7.58 % SZS output end IncompleteProof
%------------------------------------------------------------------------------