TSTP Solution File: COL109-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL109-2 : 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 : n029.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 0.13s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL109-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n029.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 05:18:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % SZS status Unsatisfiable
% 0.13/0.35 % SZS output begin IncompleteProof
% 0.13/0.35 cnf(c0, axiom,
% 0.13/0.35 c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(c1, plain,
% 0.13/0.35 c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.13/0.35 inference(start, [], [c0])).
% 0.13/0.35
% 0.13/0.35 cnf(c2, axiom,
% 0.13/0.35 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X0,X1),c_Comb_Ocomb_Oop_A_D_D(X2,X3),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X0,X2,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))).
% 0.13/0.35 cnf(a0, assumption,
% 0.13/0.35 c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(X0,X2,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a1, assumption,
% 0.13/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.13/0.35 cnf(a2, assumption,
% 0.13/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(c3, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.13/0.35 cnf(c4, plain,
% 0.13/0.35 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X0,X1),c_Comb_Ocomb_Oop_A_D_D(X2,X3),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)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.13/0.35
% 0.13/0.35 cnf(c5, axiom,
% 0.13/0.35 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X4,X5),c_Comb_Ocomb_Oop_A_D_D(X6,X7),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X4,X6,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X5,X7,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(a3, assumption,
% 0.13/0.35 c_Pair(c_Comb_Ocomb_Oop_A_D_D(X0,X1),c_Comb_Ocomb_Oop_A_D_D(X2,X3),tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(X4,X6,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a4, assumption,
% 0.13/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.13/0.35 cnf(a5, assumption,
% 0.13/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(c6, plain,
% 0.13/0.35 ~c_in(c_Pair(X1,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.13/0.35 cnf(c7, plain,
% 0.13/0.35 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X4,X5),c_Comb_Ocomb_Oop_A_D_D(X6,X7),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X5,X7,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.13/0.35
% 0.13/0.35 cnf(c8, axiom,
% 0.13/0.35 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),X8,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(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),X8,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(a6, assumption,
% 0.13/0.35 c_Pair(c_Comb_Ocomb_Oop_A_D_D(X4,X5),c_Comb_Ocomb_Oop_A_D_D(X6,X7),tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),X8,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a7, assumption,
% 0.13/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.13/0.35 cnf(a8, assumption,
% 0.13/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(c9, plain,
% 0.13/0.35 ~c_in(c_Pair(X5,X7,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 0.13/0.35 cnf(c10, plain,
% 0.13/0.35 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),X8,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 0.13/0.35
% 0.13/0.35 cnf(c11, axiom,
% 0.13/0.35 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X9),X10),X11),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X9,X11),c_Comb_Ocomb_Oop_A_D_D(X10,X11)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(a9, assumption,
% 0.13/0.35 c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),X8,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X9),X10),X11),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X9,X11),c_Comb_Ocomb_Oop_A_D_D(X10,X11)),tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a10, assumption,
% 0.13/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.13/0.35 cnf(a11, assumption,
% 0.13/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(c12, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.13/0.35 cnf(c13, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.13/0.35
% 0.13/0.35 cnf(c14, axiom,
% 0.13/0.35 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X12,X13),c_Comb_Ocomb_Oop_A_D_D(X14,X15),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X12,X14,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X13,X15,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(a12, assumption,
% 0.13/0.35 c_Pair(X5,X7,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(c_Comb_Ocomb_Oop_A_D_D(X12,X13),c_Comb_Ocomb_Oop_A_D_D(X14,X15),tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a13, assumption,
% 0.13/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.13/0.35 cnf(a14, assumption,
% 0.13/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(c15, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])).
% 0.13/0.35 cnf(c16, plain,
% 0.13/0.35 ~c_in(c_Pair(X12,X14,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X13,X15,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])).
% 0.13/0.35
% 0.13/0.35 cnf(c17, axiom,
% 0.13/0.35 c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(a15, assumption,
% 0.13/0.35 c_Pair(X12,X14,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a16, assumption,
% 0.13/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.13/0.35 cnf(a17, assumption,
% 0.13/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(c18, plain,
% 0.13/0.35 ~c_in(c_Pair(X13,X15,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])).
% 0.13/0.35 cnf(c19, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])).
% 0.13/0.35
% 0.13/0.35 cnf(c20, axiom,
% 0.13/0.35 c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(a18, assumption,
% 0.13/0.35 c_Pair(X13,X15,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a19, assumption,
% 0.13/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.13/0.35 cnf(a20, assumption,
% 0.13/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(c21, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c20])).
% 0.13/0.35 cnf(c22, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c20])).
% 0.13/0.35
% 0.13/0.35 cnf(c23, plain,
% 0.13/0.35 c_in(c_Pair(X13,X15,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(a21, assumption,
% 0.13/0.35 c_Pair(X1,X3,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(X13,X15,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a22, assumption,
% 0.13/0.35 c_Comb_Oparcontract = c_Comb_Oparcontract).
% 0.13/0.35 cnf(a23, assumption,
% 0.13/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(c24, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(predicate_reduction, [assumptions([a21, a22, a23])], [c6, c23])).
% 0.13/0.35
% 0.13/0.35 cnf(c25, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(constraint_solving, [
% 0.13/0.35 bind(X0, v_xb),
% 0.13/0.35 bind(X1, v_z),
% 0.13/0.35 bind(X2, v_x_H),
% 0.13/0.35 bind(X3, v_w),
% 0.13/0.35 bind(X4, c_Comb_Ocomb_Oop_A_D_D(X0,X1)),
% 0.13/0.35 bind(X5, c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),
% 0.13/0.35 bind(X6, c_Comb_Ocomb_Oop_A_D_D(X2,X3)),
% 0.13/0.35 bind(X7, c_Comb_Ocomb_Oop_A_D_D(X10,X11)),
% 0.13/0.35 bind(X8, c_Comb_Ocomb_Oop_A_D_D(X6,X7)),
% 0.13/0.35 bind(X9, v_x_H),
% 0.13/0.35 bind(X10, v_y_Ha),
% 0.13/0.35 bind(X11, v_w),
% 0.13/0.35 bind(X12, v_yb),
% 0.13/0.35 bind(X13, v_z),
% 0.13/0.35 bind(X14, v_y_Ha),
% 0.13/0.35 bind(X15, v_w)
% 0.13/0.35 ],
% 0.13/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23])).
% 0.13/0.35
% 0.13/0.35 % SZS output end IncompleteProof
%------------------------------------------------------------------------------