TSTP Solution File: LAT268-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LAT268-2 : 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 : n014.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 : Sun Jul 17 05:38:47 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT268-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n014.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 : Wed Jun 29 00:20:27 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(v_x,v_S,t_a)).
% 0.13/0.35 cnf(c1, plain,
% 0.13/0.35 c_in(v_x,v_S,t_a),
% 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,c_Tarski_Olub(X1,X2,X3),X3,X3),c_Tarski_Opotype_Oorder(X2,X3,tc_Product__Type_Ounit),tc_prod(X3,X3)) | ~c_lessequals(X1,c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit),tc_set(X3)) | ~c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) | ~c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) | ~c_in(X0,X1,X3)).
% 0.13/0.35 cnf(a0, assumption,
% 0.13/0.35 v_x = X0).
% 0.13/0.35 cnf(a1, assumption,
% 0.13/0.35 v_S = X1).
% 0.13/0.35 cnf(a2, assumption,
% 0.13/0.35 t_a = X3).
% 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,c_Tarski_Olub(X1,X2,X3),X3,X3),c_Tarski_Opotype_Oorder(X2,X3,tc_Product__Type_Ounit),tc_prod(X3,X3)) | ~c_lessequals(X1,c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit),tc_set(X3)) | ~c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) | ~c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)),
% 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(X4,X5,X6,X6),c_Tarski_Opotype_Oorder(X7,X6,tc_Product__Type_Ounit),tc_prod(X6,X6)) | ~c_in(c_Pair(X5,X4,X6,X6),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X7,X6),X6,tc_Product__Type_Ounit),tc_prod(X6,X6))).
% 0.13/0.35 cnf(a3, assumption,
% 0.13/0.35 c_Pair(X0,c_Tarski_Olub(X1,X2,X3),X3,X3) = c_Pair(X5,X4,X6,X6)).
% 0.13/0.35 cnf(a4, assumption,
% 0.13/0.35 c_Tarski_Opotype_Oorder(X2,X3,tc_Product__Type_Ounit) = c_Tarski_Opotype_Oorder(c_Tarski_Odual(X7,X6),X6,tc_Product__Type_Ounit)).
% 0.13/0.35 cnf(a5, assumption,
% 0.13/0.35 tc_prod(X3,X3) = tc_prod(X6,X6)).
% 0.13/0.35 cnf(c6, plain,
% 0.13/0.35 ~c_lessequals(X1,c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit),tc_set(X3)) | ~c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) | ~c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)),
% 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(X4,X5,X6,X6),c_Tarski_Opotype_Oorder(X7,X6,tc_Product__Type_Ounit),tc_prod(X6,X6)),
% 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 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)).
% 0.13/0.35 cnf(a6, assumption,
% 0.13/0.35 c_Tarski_Opotype_Oorder(X7,X6,tc_Product__Type_Ounit) = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)).
% 0.13/0.35 cnf(c9, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_function_extension, [assumptions([a6])], [c7, c8])).
% 0.13/0.35 cnf(c10, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_function_extension, [assumptions([a6])], [c7, c8])).
% 0.13/0.35 cnf(c11, plain,
% 0.13/0.35 X8 != v_r | c_in(c_Pair(X4,X5,X6,X6),X8,tc_prod(X6,X6)),
% 0.13/0.35 inference(strict_function_extension, [assumptions([a6])], [c7, c8])).
% 0.13/0.35
% 0.13/0.35 cnf(a7, assumption,
% 0.13/0.35 X8 = v_r).
% 0.13/0.35 cnf(c12, plain,
% 0.13/0.35 c_in(c_Pair(X4,X5,X6,X6),X8,tc_prod(X6,X6)),
% 0.13/0.35 inference(reflexivity, [assumptions([a7])], [c11])).
% 0.13/0.35
% 0.13/0.35 cnf(c13, axiom,
% 0.13/0.35 ~c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))).
% 0.13/0.35 cnf(a8, assumption,
% 0.13/0.35 c_Pair(X4,X5,X6,X6) = c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a)).
% 0.13/0.35 cnf(a9, assumption,
% 0.13/0.35 X8 = v_r).
% 0.13/0.35 cnf(a10, assumption,
% 0.13/0.35 tc_prod(X6,X6) = tc_prod(t_a,t_a)).
% 0.13/0.35 cnf(c14, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c13])).
% 0.13/0.35 cnf(c15, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c13])).
% 0.13/0.35
% 0.13/0.35 cnf(c16, axiom,
% 0.13/0.35 c_Tarski_Opotype_Opset(X9,X10,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X9,X10),X10,tc_Product__Type_Ounit)).
% 0.13/0.35 cnf(a11, assumption,
% 0.13/0.35 c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X9,X10),X10,tc_Product__Type_Ounit)).
% 0.13/0.35 cnf(c17, plain,
% 0.13/0.35 ~c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) | ~c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)),
% 0.13/0.35 inference(strict_function_extension, [assumptions([a11])], [c6, c16])).
% 0.13/0.35 cnf(c18, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_function_extension, [assumptions([a11])], [c6, c16])).
% 0.13/0.35 cnf(c19, plain,
% 0.13/0.35 X11 != c_Tarski_Opotype_Opset(X9,X10,tc_Product__Type_Ounit) | ~c_lessequals(X1,X11,tc_set(X3)),
% 0.13/0.35 inference(strict_function_extension, [assumptions([a11])], [c6, c16])).
% 0.13/0.35
% 0.13/0.35 cnf(c20, axiom,
% 0.13/0.35 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)).
% 0.13/0.35 cnf(a12, assumption,
% 0.13/0.35 c_Tarski_Opotype_Opset(X9,X10,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)).
% 0.13/0.35 cnf(c21, plain,
% 0.13/0.35 ~c_lessequals(X1,X11,tc_set(X3)),
% 0.13/0.35 inference(strict_function_extension, [assumptions([a12])], [c19, c20])).
% 0.13/0.35 cnf(c22, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_function_extension, [assumptions([a12])], [c19, c20])).
% 0.13/0.35 cnf(c23, plain,
% 0.13/0.35 X12 != v_A | X11 != X12,
% 0.13/0.35 inference(strict_function_extension, [assumptions([a12])], [c19, c20])).
% 0.13/0.35
% 0.13/0.35 cnf(a13, assumption,
% 0.13/0.35 X12 = v_A).
% 0.13/0.35 cnf(c24, plain,
% 0.13/0.35 X11 != X12,
% 0.13/0.35 inference(reflexivity, [assumptions([a13])], [c23])).
% 0.13/0.35
% 0.13/0.35 cnf(a14, assumption,
% 0.13/0.35 X11 = X12).
% 0.13/0.35 cnf(c25, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(reflexivity, [assumptions([a14])], [c24])).
% 0.13/0.35
% 0.13/0.35 cnf(c26, axiom,
% 0.13/0.35 c_lessequals(v_S,v_A,tc_set(t_a))).
% 0.13/0.35 cnf(a15, assumption,
% 0.13/0.35 X1 = v_S).
% 0.13/0.35 cnf(a16, assumption,
% 0.13/0.35 X11 = v_A).
% 0.13/0.35 cnf(a17, assumption,
% 0.13/0.35 tc_set(X3) = tc_set(t_a)).
% 0.13/0.35 cnf(c27, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c26])).
% 0.13/0.35 cnf(c28, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c26])).
% 0.13/0.35
% 0.13/0.35 cnf(c29, axiom,
% 0.13/0.35 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))).
% 0.13/0.35 cnf(a18, assumption,
% 0.13/0.35 X2 = c_Tarski_Odual(v_cl,t_a)).
% 0.13/0.35 cnf(a19, assumption,
% 0.13/0.35 c_Tarski_OPartialOrder = c_Tarski_OPartialOrder).
% 0.13/0.35 cnf(a20, assumption,
% 0.13/0.35 tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit) = tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 0.13/0.35 cnf(c30, plain,
% 0.13/0.35 ~c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c17, c29])).
% 0.13/0.35 cnf(c31, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c17, c29])).
% 0.13/0.35
% 0.13/0.35 cnf(c32, axiom,
% 0.13/0.35 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))).
% 0.13/0.35 cnf(a21, assumption,
% 0.13/0.35 X2 = c_Tarski_Odual(v_cl,t_a)).
% 0.13/0.35 cnf(a22, assumption,
% 0.13/0.35 c_Tarski_OCompleteLattice = c_Tarski_OCompleteLattice).
% 0.13/0.35 cnf(a23, assumption,
% 0.13/0.35 tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit) = tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 0.13/0.35 cnf(c33, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c30, c32])).
% 0.13/0.35 cnf(c34, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c30, c32])).
% 0.13/0.35
% 0.13/0.35 cnf(c35, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(constraint_solving, [
% 0.13/0.35 bind(X0, v_x),
% 0.13/0.35 bind(X1, v_S),
% 0.13/0.35 bind(X2, c_Tarski_Odual(X7,X6)),
% 0.13/0.35 bind(X3, t_a),
% 0.13/0.35 bind(X4, c_Tarski_Olub(X1,X2,X3)),
% 0.13/0.35 bind(X5, v_x),
% 0.13/0.35 bind(X6, t_a),
% 0.13/0.35 bind(X7, v_cl),
% 0.13/0.35 bind(X8, v_r),
% 0.13/0.35 bind(X9, v_cl),
% 0.13/0.35 bind(X10, t_a),
% 0.13/0.35 bind(X11, v_A),
% 0.13/0.35 bind(X12, v_A)
% 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
%------------------------------------------------------------------------------