TSTP Solution File: COL121-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL121-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : 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 00:34:10 EDT 2022
% Result : Unsatisfiable 7.11s 1.24s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL121-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % 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 15:54:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.11/1.24 % SZS status Unsatisfiable
% 7.11/1.24 % SZS output begin IncompleteProof
% 7.11/1.24 cnf(c0, axiom,
% 7.11/1.24 c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))).
% 7.11/1.24 cnf(c1, plain,
% 7.11/1.24 c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
% 7.11/1.24 inference(start, [], [c0])).
% 7.11/1.24
% 7.11/1.24 cnf(c2, axiom,
% 7.11/1.24 c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(X1,X0,X2,X3),X3,X3),X1,tc_prod(X3,X3)) | ~c_in(c_Pair(X4,X0,X3,X3),c_Transitive__Closure_Ortrancl(X1,X3),tc_prod(X3,X3)) | ~c_in(c_Pair(X4,X2,X3,X3),X1,tc_prod(X3,X3)) | ~c_Comb_Odiamond(X1,X3)).
% 7.11/1.24 cnf(a0, assumption,
% 7.11/1.24 c_Pair(v_ya,v_z,t_a,t_a) = c_Pair(X4,X2,X3,X3)).
% 7.11/1.24 cnf(a1, assumption,
% 7.11/1.24 v_r = X1).
% 7.11/1.24 cnf(a2, assumption,
% 7.11/1.24 tc_prod(t_a,t_a) = tc_prod(X3,X3)).
% 7.11/1.24 cnf(c3, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 7.11/1.24 cnf(c4, plain,
% 7.11/1.24 c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(X1,X0,X2,X3),X3,X3),X1,tc_prod(X3,X3)) | ~c_in(c_Pair(X4,X0,X3,X3),c_Transitive__Closure_Ortrancl(X1,X3),tc_prod(X3,X3)) | ~c_Comb_Odiamond(X1,X3),
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 7.11/1.24
% 7.11/1.24 cnf(c5, axiom,
% 7.11/1.24 c_in(X5,c_Transitive__Closure_Ortrancl(X6,X7),tc_prod(X7,X7)) | ~c_in(X5,X6,tc_prod(X7,X7))).
% 7.11/1.24 cnf(a3, assumption,
% 7.11/1.24 c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(X1,X0,X2,X3),X3,X3) = X5).
% 7.11/1.24 cnf(a4, assumption,
% 7.11/1.24 X1 = X6).
% 7.11/1.24 cnf(a5, assumption,
% 7.11/1.24 tc_prod(X3,X3) = tc_prod(X7,X7)).
% 7.11/1.24 cnf(c6, plain,
% 7.11/1.24 ~c_in(c_Pair(X4,X0,X3,X3),c_Transitive__Closure_Ortrancl(X1,X3),tc_prod(X3,X3)) | ~c_Comb_Odiamond(X1,X3),
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 7.11/1.24 cnf(c7, plain,
% 7.11/1.24 c_in(X5,c_Transitive__Closure_Ortrancl(X6,X7),tc_prod(X7,X7)),
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 7.11/1.24
% 7.11/1.24 cnf(c8, axiom,
% 7.11/1.24 c_in(c_Pair(X8,X9,X10,X10),c_Transitive__Closure_Ortrancl(X11,X10),tc_prod(X10,X10)) | ~c_in(c_Pair(X8,X12,X10,X10),c_Transitive__Closure_Ortrancl(X11,X10),tc_prod(X10,X10)) | ~c_in(c_Pair(X12,X9,X10,X10),c_Transitive__Closure_Ortrancl(X11,X10),tc_prod(X10,X10))).
% 7.11/1.24 cnf(a6, assumption,
% 7.11/1.24 X5 = c_Pair(X12,X9,X10,X10)).
% 7.11/1.24 cnf(a7, assumption,
% 7.11/1.24 c_Transitive__Closure_Ortrancl(X6,X7) = c_Transitive__Closure_Ortrancl(X11,X10)).
% 7.11/1.24 cnf(a8, assumption,
% 7.11/1.24 tc_prod(X7,X7) = tc_prod(X10,X10)).
% 7.11/1.24 cnf(c9, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 7.11/1.24 cnf(c10, plain,
% 7.11/1.24 c_in(c_Pair(X8,X9,X10,X10),c_Transitive__Closure_Ortrancl(X11,X10),tc_prod(X10,X10)) | ~c_in(c_Pair(X8,X12,X10,X10),c_Transitive__Closure_Ortrancl(X11,X10),tc_prod(X10,X10)),
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 7.11/1.24
% 7.11/1.24 cnf(c11, axiom,
% 7.11/1.24 ~c_in(c_Pair(v_z,X13,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) | ~c_in(c_Pair(v_xaa,X13,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))).
% 7.11/1.24 cnf(a9, assumption,
% 7.11/1.24 c_Pair(X8,X9,X10,X10) = c_Pair(v_xaa,X13,t_a,t_a)).
% 7.11/1.24 cnf(a10, assumption,
% 7.11/1.24 c_Transitive__Closure_Ortrancl(X11,X10) = c_Transitive__Closure_Ortrancl(v_r,t_a)).
% 7.11/1.24 cnf(a11, assumption,
% 7.11/1.24 tc_prod(X10,X10) = tc_prod(t_a,t_a)).
% 7.11/1.24 cnf(c12, plain,
% 7.11/1.24 ~c_in(c_Pair(X8,X12,X10,X10),c_Transitive__Closure_Ortrancl(X11,X10),tc_prod(X10,X10)),
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 7.11/1.24 cnf(c13, plain,
% 7.11/1.24 ~c_in(c_Pair(v_z,X13,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 7.11/1.24
% 7.11/1.24 cnf(c14, axiom,
% 7.11/1.24 c_in(c_Pair(X14,c_Comb_Odiamond__strip__lemmaE__1(X15,X16,X14,X17),X17,X17),c_Transitive__Closure_Ortrancl(X15,X17),tc_prod(X17,X17)) | ~c_in(c_Pair(X18,X16,X17,X17),c_Transitive__Closure_Ortrancl(X15,X17),tc_prod(X17,X17)) | ~c_in(c_Pair(X18,X14,X17,X17),X15,tc_prod(X17,X17)) | ~c_Comb_Odiamond(X15,X17)).
% 7.11/1.24 cnf(a12, assumption,
% 7.11/1.24 c_Pair(v_z,X13,t_a,t_a) = c_Pair(X14,c_Comb_Odiamond__strip__lemmaE__1(X15,X16,X14,X17),X17,X17)).
% 7.11/1.24 cnf(a13, assumption,
% 7.11/1.24 c_Transitive__Closure_Ortrancl(v_r,t_a) = c_Transitive__Closure_Ortrancl(X15,X17)).
% 7.11/1.24 cnf(a14, assumption,
% 7.11/1.24 tc_prod(t_a,t_a) = tc_prod(X17,X17)).
% 7.11/1.24 cnf(c15, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 7.11/1.24 cnf(c16, plain,
% 7.11/1.24 ~c_in(c_Pair(X18,X16,X17,X17),c_Transitive__Closure_Ortrancl(X15,X17),tc_prod(X17,X17)) | ~c_in(c_Pair(X18,X14,X17,X17),X15,tc_prod(X17,X17)) | ~c_Comb_Odiamond(X15,X17),
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 7.11/1.24
% 7.11/1.24 cnf(c17, axiom,
% 7.11/1.24 ~c_in(c_Pair(v_y,X19,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) | c_in(c_Pair(v_ya,v_x(X19),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))).
% 7.11/1.24 cnf(a15, assumption,
% 7.11/1.24 c_Pair(X18,X16,X17,X17) = c_Pair(v_ya,v_x(X19),t_a,t_a)).
% 7.11/1.24 cnf(a16, assumption,
% 7.11/1.24 c_Transitive__Closure_Ortrancl(X15,X17) = c_Transitive__Closure_Ortrancl(v_r,t_a)).
% 7.11/1.24 cnf(a17, assumption,
% 7.11/1.24 tc_prod(X17,X17) = tc_prod(t_a,t_a)).
% 7.11/1.24 cnf(c18, plain,
% 7.11/1.24 ~c_in(c_Pair(X18,X14,X17,X17),X15,tc_prod(X17,X17)) | ~c_Comb_Odiamond(X15,X17),
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])).
% 7.11/1.24 cnf(c19, plain,
% 7.11/1.24 ~c_in(c_Pair(v_y,X19,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])).
% 7.11/1.24
% 7.11/1.24 cnf(c20, axiom,
% 7.11/1.24 c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))).
% 7.11/1.24 cnf(a18, assumption,
% 7.11/1.24 c_Pair(v_y,X19,t_a,t_a) = c_Pair(v_y,v_xaa,t_a,t_a)).
% 7.11/1.24 cnf(a19, assumption,
% 7.11/1.24 c_Transitive__Closure_Ortrancl(v_r,t_a) = c_Transitive__Closure_Ortrancl(v_r,t_a)).
% 7.11/1.24 cnf(a20, assumption,
% 7.11/1.24 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)).
% 7.11/1.24 cnf(c21, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])).
% 7.11/1.24 cnf(c22, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])).
% 7.11/1.24
% 7.11/1.24 cnf(c23, plain,
% 7.11/1.24 c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))).
% 7.11/1.24 cnf(a21, assumption,
% 7.11/1.24 c_Pair(X18,X14,X17,X17) = c_Pair(v_ya,v_z,t_a,t_a)).
% 7.11/1.24 cnf(a22, assumption,
% 7.11/1.24 X15 = v_r).
% 7.11/1.24 cnf(a23, assumption,
% 7.11/1.24 tc_prod(X17,X17) = tc_prod(t_a,t_a)).
% 7.11/1.24 cnf(c24, plain,
% 7.11/1.24 ~c_Comb_Odiamond(X15,X17),
% 7.11/1.24 inference(predicate_reduction, [assumptions([a21, a22, a23])], [c18, c23])).
% 7.11/1.24
% 7.11/1.24 cnf(c25, axiom,
% 7.11/1.24 c_Comb_Odiamond(v_r,t_a)).
% 7.11/1.24 cnf(a24, assumption,
% 7.11/1.24 X15 = v_r).
% 7.11/1.24 cnf(a25, assumption,
% 7.11/1.24 X17 = t_a).
% 7.11/1.24 cnf(c26, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a24, a25])], [c24, c25])).
% 7.11/1.24 cnf(c27, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a24, a25])], [c24, c25])).
% 7.11/1.24
% 7.11/1.24 cnf(c28, axiom,
% 7.11/1.24 ~c_in(c_Pair(v_y,X20,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) | c_in(c_Pair(X20,v_x(X20),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))).
% 7.11/1.24 cnf(a26, assumption,
% 7.11/1.24 c_Pair(X8,X12,X10,X10) = c_Pair(X20,v_x(X20),t_a,t_a)).
% 7.11/1.24 cnf(a27, assumption,
% 7.11/1.24 c_Transitive__Closure_Ortrancl(X11,X10) = c_Transitive__Closure_Ortrancl(v_r,t_a)).
% 7.11/1.24 cnf(a28, assumption,
% 7.11/1.24 tc_prod(X10,X10) = tc_prod(t_a,t_a)).
% 7.11/1.24 cnf(c29, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c12, c28])).
% 7.11/1.24 cnf(c30, plain,
% 7.11/1.24 ~c_in(c_Pair(v_y,X20,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
% 7.11/1.24 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c12, c28])).
% 7.11/1.24
% 7.11/1.24 cnf(c31, plain,
% 7.11/1.24 c_in(c_Pair(v_y,X19,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))).
% 7.11/1.24 cnf(a29, assumption,
% 7.11/1.24 c_Pair(v_y,X20,t_a,t_a) = c_Pair(v_y,X19,t_a,t_a)).
% 7.11/1.24 cnf(a30, assumption,
% 7.11/1.24 c_Transitive__Closure_Ortrancl(v_r,t_a) = c_Transitive__Closure_Ortrancl(v_r,t_a)).
% 7.11/1.24 cnf(a31, assumption,
% 7.11/1.24 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)).
% 7.11/1.24 cnf(c32, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(predicate_reduction, [assumptions([a29, a30, a31])], [c30, c31])).
% 7.11/1.24
% 7.11/1.24 cnf(c33, plain,
% 7.11/1.24 c_in(c_Pair(X18,X16,X17,X17),c_Transitive__Closure_Ortrancl(X15,X17),tc_prod(X17,X17))).
% 7.11/1.24 cnf(a32, assumption,
% 7.11/1.24 c_Pair(X4,X0,X3,X3) = c_Pair(X18,X16,X17,X17)).
% 7.11/1.24 cnf(a33, assumption,
% 7.11/1.24 c_Transitive__Closure_Ortrancl(X1,X3) = c_Transitive__Closure_Ortrancl(X15,X17)).
% 7.11/1.24 cnf(a34, assumption,
% 7.11/1.24 tc_prod(X3,X3) = tc_prod(X17,X17)).
% 7.11/1.24 cnf(c34, plain,
% 7.11/1.24 ~c_Comb_Odiamond(X1,X3),
% 7.11/1.24 inference(predicate_reduction, [assumptions([a32, a33, a34])], [c6, c33])).
% 7.11/1.24
% 7.11/1.24 cnf(c35, plain,
% 7.11/1.24 c_Comb_Odiamond(X15,X17)).
% 7.11/1.24 cnf(a35, assumption,
% 7.11/1.24 X1 = X15).
% 7.11/1.24 cnf(a36, assumption,
% 7.11/1.24 X3 = X17).
% 7.11/1.24 cnf(c36, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(predicate_reduction, [assumptions([a35, a36])], [c34, c35])).
% 7.11/1.24
% 7.11/1.24 cnf(c37, plain,
% 7.11/1.24 $false,
% 7.11/1.24 inference(constraint_solving, [
% 7.11/1.24 bind(X0, v_x(X19)),
% 7.11/1.24 bind(X1, v_r),
% 7.11/1.24 bind(X2, v_z),
% 7.11/1.24 bind(X3, t_a),
% 7.11/1.24 bind(X4, v_ya),
% 7.11/1.24 bind(X5, c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(X1,X0,X2,X3),X3,X3)),
% 7.11/1.24 bind(X6, v_r),
% 7.11/1.24 bind(X7, t_a),
% 7.11/1.24 bind(X8, v_xaa),
% 7.11/1.24 bind(X9, c_Comb_Odiamond__strip__lemmaE__1(X1,X0,X2,X3)),
% 7.11/1.24 bind(X10, t_a),
% 7.11/1.24 bind(X11, v_r),
% 7.11/1.24 bind(X12, v_x(X19)),
% 7.11/1.24 bind(X13, c_Comb_Odiamond__strip__lemmaE__1(X1,X0,X2,X3)),
% 7.11/1.24 bind(X14, v_z),
% 7.11/1.24 bind(X15, v_r),
% 7.11/1.24 bind(X16, v_x(X19)),
% 7.11/1.24 bind(X17, t_a),
% 7.11/1.24 bind(X18, v_ya),
% 7.11/1.24 bind(X19, v_xaa),
% 7.11/1.24 bind(X20, v_xaa)
% 7.11/1.24 ],
% 7.11/1.24 [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, a34, a35, a36])).
% 7.11/1.24
% 7.11/1.24 % SZS output end IncompleteProof
%------------------------------------------------------------------------------