TSTP Solution File: COL102-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL102-2 : 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 00:34:07 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : COL102-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n017.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 09:31:11 EDT 2022
% 0.13/0.34 % 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(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(c1, plain,
% 0.13/0.35 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),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(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) | ~c_in(c_Pair(X0,X4,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) | ~c_in(c_Pair(X4,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))).
% 0.13/0.35 cnf(a0, assumption,
% 0.13/0.35 c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(X0,X4,X2,X2)).
% 0.13/0.35 cnf(a1, assumption,
% 0.13/0.35 c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb) = c_Transitive__Closure_Ortrancl(X3,X2)).
% 0.13/0.35 cnf(a2, assumption,
% 0.13/0.35 tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = tc_prod(X2,X2)).
% 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(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) | ~c_in(c_Pair(X4,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
% 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(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(a3, assumption,
% 0.13/0.35 c_Pair(X0,X1,X2,X2) = c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a4, assumption,
% 0.13/0.35 c_Transitive__Closure_Ortrancl(X3,X2) = c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a5, assumption,
% 0.13/0.35 tc_prod(X2,X2) = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(c6, plain,
% 0.13/0.35 ~c_in(c_Pair(X4,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
% 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 $false,
% 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(X5,c_Transitive__Closure_Ortrancl(X6,X7),tc_prod(X7,X7)) | ~c_in(X5,X6,tc_prod(X7,X7))).
% 0.13/0.35 cnf(a6, assumption,
% 0.13/0.35 c_Pair(X4,X1,X2,X2) = X5).
% 0.13/0.35 cnf(a7, assumption,
% 0.13/0.35 c_Transitive__Closure_Ortrancl(X3,X2) = c_Transitive__Closure_Ortrancl(X6,X7)).
% 0.13/0.35 cnf(a8, assumption,
% 0.13/0.35 tc_prod(X2,X2) = tc_prod(X7,X7)).
% 0.13/0.35 cnf(c9, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 0.13/0.35 cnf(c10, plain,
% 0.13/0.35 ~c_in(X5,X6,tc_prod(X7,X7)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, 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(X8,X9),c_Comb_Ocomb_Oop_A_D_D(X10,X9),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | ~c_in(c_Pair(X8,X10,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(a9, assumption,
% 0.13/0.35 X5 = c_Pair(c_Comb_Ocomb_Oop_A_D_D(X8,X9),c_Comb_Ocomb_Oop_A_D_D(X10,X9),tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a10, assumption,
% 0.13/0.35 X6 = c_Comb_Ocontract).
% 0.13/0.35 cnf(a11, assumption,
% 0.13/0.35 tc_prod(X7,X7) = 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 ~c_in(c_Pair(X8,X10,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
% 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(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))).
% 0.13/0.35 cnf(a12, assumption,
% 0.13/0.35 c_Pair(X8,X10,tc_Comb_Ocomb,tc_Comb_Ocomb) = c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.13/0.35 cnf(a13, assumption,
% 0.13/0.35 c_Comb_Ocontract = c_Comb_Ocontract).
% 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])], [c13, c14])).
% 0.13/0.35 cnf(c16, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 0.13/0.35
% 0.13/0.35 cnf(c17, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(constraint_solving, [
% 0.13/0.35 bind(X0, c_Comb_Ocomb_Oop_A_D_D(v_x,v_z)),
% 0.13/0.35 bind(X1, c_Comb_Ocomb_Oop_A_D_D(v_za,v_z)),
% 0.13/0.35 bind(X2, tc_Comb_Ocomb),
% 0.13/0.35 bind(X3, c_Comb_Ocontract),
% 0.13/0.35 bind(X4, c_Comb_Ocomb_Oop_A_D_D(v_y,v_z)),
% 0.13/0.35 bind(X5, c_Pair(X4,X1,X2,X2)),
% 0.13/0.35 bind(X6, c_Comb_Ocontract),
% 0.13/0.35 bind(X7, tc_Comb_Ocomb),
% 0.13/0.35 bind(X8, v_y),
% 0.13/0.35 bind(X9, v_z),
% 0.13/0.35 bind(X10, v_za)
% 0.13/0.35 ],
% 0.13/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 0.13/0.35
% 0.13/0.35 % SZS output end IncompleteProof
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