TSTP Solution File: COL110-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL110-2 : 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 : 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 : Fri Jul 15 00:34:08 EDT 2022
% Result : Unsatisfiable 0.19s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL110-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % 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 : Tue May 31 08:46:11 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % SZS status Unsatisfiable
% 0.19/0.35 % SZS output begin IncompleteProof
% 0.19/0.35 cnf(c0, axiom,
% 0.19/0.35 c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(c1, plain,
% 0.19/0.35 c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.19/0.35 inference(start, [], [c0])).
% 0.19/0.35
% 0.19/0.35 cnf(c2, axiom,
% 0.19/0.35 ~c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | c_in(c_Pair(v_ya,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(a0, assumption,
% 0.19/0.35 c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(a1, assumption,
% 0.19/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.19/0.35 cnf(a2, assumption,
% 0.19/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(c3, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.19/0.35 cnf(c4, plain,
% 0.19/0.35 c_in(c_Pair(v_ya,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.19/0.35
% 0.19/0.35 cnf(c5, axiom,
% 0.19/0.35 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X1,X2),c_Comb_Ocomb_Oop_A_D_D(X3,X4),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X1,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X2,X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(a3, assumption,
% 0.19/0.35 c_Pair(v_ya,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(X1,X3,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(a4, assumption,
% 0.19/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.19/0.35 cnf(a5, assumption,
% 0.19/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(c6, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.19/0.35 cnf(c7, plain,
% 0.19/0.35 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X1,X2),c_Comb_Ocomb_Oop_A_D_D(X3,X4),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X2,X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.19/0.35
% 0.19/0.35 cnf(c8, axiom,
% 0.19/0.35 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(a6, assumption,
% 0.19/0.35 c_Pair(c_Comb_Ocomb_Oop_A_D_D(X1,X2),c_Comb_Ocomb_Oop_A_D_D(X3,X4),tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),X5,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(a7, assumption,
% 0.19/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.19/0.35 cnf(a8, assumption,
% 0.19/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(c9, plain,
% 0.19/0.35 ~c_in(c_Pair(X2,X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 0.19/0.35 cnf(c10, plain,
% 0.19/0.35 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 0.19/0.35
% 0.19/0.35 cnf(c11, axiom,
% 0.19/0.35 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X6,X7),c_Comb_Ocomb_Oop_A_D_D(X8,X9),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X6,X8,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X7,X9,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(a9, assumption,
% 0.19/0.35 c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),X5,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(c_Comb_Ocomb_Oop_A_D_D(X6,X7),c_Comb_Ocomb_Oop_A_D_D(X8,X9),tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(a10, assumption,
% 0.19/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.19/0.35 cnf(a11, assumption,
% 0.19/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(c12, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.19/0.35 cnf(c13, plain,
% 0.19/0.35 ~c_in(c_Pair(X6,X8,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X7,X9,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.19/0.35
% 0.19/0.35 cnf(c14, axiom,
% 0.19/0.35 ~c_in(c_Pair(v_x,X10,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | c_in(c_Pair(X10,v_xb(X10),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(a12, assumption,
% 0.19/0.35 c_Pair(X6,X8,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(X10,v_xb(X10),tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(a13, assumption,
% 0.19/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.19/0.35 cnf(a14, assumption,
% 0.19/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(c15, plain,
% 0.19/0.35 ~c_in(c_Pair(X7,X9,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 0.19/0.35 cnf(c16, plain,
% 0.19/0.35 ~c_in(c_Pair(v_x,X10,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 0.19/0.35
% 0.19/0.35 cnf(c17, plain,
% 0.19/0.35 c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(a15, assumption,
% 0.19/0.35 c_Pair(v_x,X10,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(a16, assumption,
% 0.19/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.19/0.35 cnf(a17, assumption,
% 0.19/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(c18, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(predicate_reduction, [assumptions([a15, a16, a17])], [c16, c17])).
% 0.19/0.35
% 0.19/0.35 cnf(c19, axiom,
% 0.19/0.35 ~c_in(c_Pair(v_z,X11,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | c_in(c_Pair(X11,v_xaa(X11),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(a18, assumption,
% 0.19/0.35 c_Pair(X7,X9,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(X11,v_xaa(X11),tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(a19, assumption,
% 0.19/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.19/0.35 cnf(a20, assumption,
% 0.19/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(c20, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c15, c19])).
% 0.19/0.35 cnf(c21, plain,
% 0.19/0.35 ~c_in(c_Pair(v_z,X11,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c15, c19])).
% 0.19/0.35
% 0.19/0.35 cnf(c22, axiom,
% 0.19/0.35 c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(a21, assumption,
% 0.19/0.35 c_Pair(v_z,X11,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(a22, assumption,
% 0.19/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.19/0.35 cnf(a23, assumption,
% 0.19/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(c23, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c21, c22])).
% 0.19/0.35 cnf(c24, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c21, c22])).
% 0.19/0.35
% 0.19/0.35 cnf(c25, axiom,
% 0.19/0.35 ~c_in(c_Pair(v_z,X12,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | c_in(c_Pair(v_w,v_xaa(X12),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(a24, assumption,
% 0.19/0.35 c_Pair(X2,X4,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(v_w,v_xaa(X12),tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(a25, assumption,
% 0.19/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.19/0.35 cnf(a26, assumption,
% 0.19/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(c26, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c9, c25])).
% 0.19/0.35 cnf(c27, plain,
% 0.19/0.35 ~c_in(c_Pair(v_z,X12,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c9, c25])).
% 0.19/0.35
% 0.19/0.35 cnf(c28, plain,
% 0.19/0.35 c_in(c_Pair(v_z,X11,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.19/0.35 cnf(a27, assumption,
% 0.19/0.35 c_Pair(v_z,X12,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(v_z,X11,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(a28, assumption,
% 0.19/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.19/0.35 cnf(a29, assumption,
% 0.19/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.19/0.35 cnf(c29, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(predicate_reduction, [assumptions([a27, a28, a29])], [c27, c28])).
% 0.19/0.35
% 0.19/0.35 cnf(c30, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(constraint_solving, [
% 0.19/0.35 bind(X0, v_yb),
% 0.19/0.35 bind(X1, v_ya),
% 0.19/0.35 bind(X2, v_w),
% 0.19/0.35 bind(X3, v_xb(X0)),
% 0.19/0.35 bind(X4, v_xaa(X11)),
% 0.19/0.35 bind(X5, c_Comb_Ocomb_Oop_A_D_D(X3,X4)),
% 0.19/0.35 bind(X6, v_yb),
% 0.19/0.35 bind(X7, v_wa),
% 0.19/0.35 bind(X8, v_xb(X0)),
% 0.19/0.35 bind(X9, v_xaa(X11)),
% 0.19/0.35 bind(X10, v_yb),
% 0.19/0.35 bind(X11, v_wa),
% 0.19/0.35 bind(X12, v_wa)
% 0.19/0.35 ],
% 0.19/0.35 [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])).
% 0.19/0.35
% 0.19/0.35 % SZS output end IncompleteProof
%------------------------------------------------------------------------------