TSTP Solution File: SET825-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET825-2 : 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 : n018.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 : Tue Jul 19 02:48:23 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET825-2 : 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
% 0.12/0.34 % Computer : n018.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 : Sun Jul 10 06:04:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.39 % SZS status Unsatisfiable
% 0.12/0.39 % SZS output begin IncompleteProof
% 0.12/0.39 cnf(c0, axiom,
% 0.12/0.39 ~c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_x(X0),v_xa(X0),tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat))).
% 0.12/0.39 cnf(c1, plain,
% 0.12/0.39 ~c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_x(X0),v_xa(X0),tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39 inference(start, [], [c0])).
% 0.12/0.39
% 0.12/0.39 cnf(c2, axiom,
% 0.12/0.39 c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2))).
% 0.12/0.39 cnf(a0, assumption,
% 0.12/0.39 c_Pair(c_0,c_0,tc_nat,tc_nat) = c_Pair(X1,X1,X2,X2)).
% 0.12/0.39 cnf(a1, assumption,
% 0.12/0.39 X0 = c_Relation_OId).
% 0.12/0.39 cnf(a2, assumption,
% 0.12/0.39 tc_prod(tc_nat,tc_nat) = tc_prod(X2,X2)).
% 0.12/0.39 cnf(c3, plain,
% 0.12/0.39 c_in(c_Pair(v_x(X0),v_xa(X0),tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.39 cnf(c4, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.39
% 0.12/0.39 cnf(c5, axiom,
% 0.12/0.39 X3 = X4 | ~c_in(c_Pair(X3,X4,X5,X5),c_Relation_OId,tc_prod(X5,X5))).
% 0.12/0.39 cnf(a3, assumption,
% 0.12/0.39 c_Pair(v_x(X0),v_xa(X0),tc_nat,tc_nat) = c_Pair(X3,X4,X5,X5)).
% 0.12/0.39 cnf(a4, assumption,
% 0.12/0.39 X0 = c_Relation_OId).
% 0.12/0.39 cnf(a5, assumption,
% 0.12/0.39 tc_prod(tc_nat,tc_nat) = tc_prod(X5,X5)).
% 0.12/0.39 cnf(c6, plain,
% 0.12/0.39 c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c3, c5])).
% 0.12/0.39 cnf(c7, plain,
% 0.12/0.39 X3 = X4,
% 0.12/0.39 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c3, c5])).
% 0.12/0.39
% 0.12/0.39 cnf(c8, axiom,
% 0.12/0.39 ~c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)) | ~c_in(c_Pair(c_Suc(v_x(X6)),c_Suc(v_xa(X6)),tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat))).
% 0.12/0.39 cnf(a6, assumption,
% 0.12/0.39 v_xa(X6) = X4).
% 0.12/0.39 cnf(c9, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(strict_subterm_extension, [assumptions([a6])], [c7, c8])).
% 0.12/0.39 cnf(c10, plain,
% 0.12/0.39 ~c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39 inference(strict_subterm_extension, [assumptions([a6])], [c7, c8])).
% 0.12/0.39 cnf(c11, plain,
% 0.12/0.39 ~c_in(c_Pair(c_Suc(v_x(X6)),c_Suc(X3),tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39 inference(strict_subterm_extension, [assumptions([a6])], [c7, c8])).
% 0.12/0.39
% 0.12/0.39 cnf(c12, axiom,
% 0.12/0.39 c_in(c_Pair(X7,X7,X8,X8),c_Relation_OId,tc_prod(X8,X8))).
% 0.12/0.39 cnf(a7, assumption,
% 0.12/0.39 c_Pair(c_Suc(v_x(X6)),c_Suc(X3),tc_nat,tc_nat) = c_Pair(X7,X7,X8,X8)).
% 0.12/0.39 cnf(a8, assumption,
% 0.12/0.39 X6 = c_Relation_OId).
% 0.12/0.39 cnf(a9, assumption,
% 0.12/0.39 tc_prod(tc_nat,tc_nat) = tc_prod(X8,X8)).
% 0.12/0.39 cnf(c13, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c11, c12])).
% 0.12/0.39 cnf(c14, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c11, c12])).
% 0.12/0.39
% 0.12/0.39 cnf(c15, plain,
% 0.12/0.39 c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat))).
% 0.12/0.39 cnf(a10, assumption,
% 0.12/0.39 c_Pair(c_0,c_0,tc_nat,tc_nat) = c_Pair(c_0,c_0,tc_nat,tc_nat)).
% 0.12/0.39 cnf(a11, assumption,
% 0.12/0.39 X6 = X0).
% 0.12/0.39 cnf(a12, assumption,
% 0.12/0.39 tc_prod(tc_nat,tc_nat) = tc_prod(tc_nat,tc_nat)).
% 0.12/0.39 cnf(c16, plain,
% 0.12/0.39 c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat)),
% 0.12/0.39 inference(predicate_reduction, [assumptions([a10, a11, a12])], [c10, c15])).
% 0.12/0.39
% 0.12/0.39 cnf(c17, axiom,
% 0.12/0.39 X9 = X10 | ~c_in(c_Pair(X9,X10,X11,X11),c_Relation_OId,tc_prod(X11,X11))).
% 0.12/0.39 cnf(a13, assumption,
% 0.12/0.39 c_Pair(v_n,v_m,tc_nat,tc_nat) = c_Pair(X9,X10,X11,X11)).
% 0.12/0.39 cnf(a14, assumption,
% 0.12/0.39 X6 = c_Relation_OId).
% 0.12/0.39 cnf(a15, assumption,
% 0.12/0.39 tc_prod(tc_nat,tc_nat) = tc_prod(X11,X11)).
% 0.12/0.39 cnf(c18, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c16, c17])).
% 0.12/0.39 cnf(c19, plain,
% 0.12/0.39 X9 = X10,
% 0.12/0.39 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c16, c17])).
% 0.12/0.39
% 0.12/0.39 cnf(c20, axiom,
% 0.12/0.39 ~v_Q(v_m)).
% 0.12/0.39 cnf(a16, assumption,
% 0.12/0.39 v_m = X10).
% 0.12/0.39 cnf(c21, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(strict_subterm_extension, [assumptions([a16])], [c19, c20])).
% 0.12/0.39 cnf(c22, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(strict_subterm_extension, [assumptions([a16])], [c19, c20])).
% 0.12/0.39 cnf(c23, plain,
% 0.12/0.39 ~v_Q(X9),
% 0.12/0.39 inference(strict_subterm_extension, [assumptions([a16])], [c19, c20])).
% 0.12/0.39
% 0.12/0.39 cnf(c24, axiom,
% 0.12/0.39 v_Q(v_n)).
% 0.12/0.39 cnf(a17, assumption,
% 0.12/0.39 X9 = v_n).
% 0.12/0.39 cnf(c25, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(strict_predicate_extension, [assumptions([a17])], [c23, c24])).
% 0.12/0.39 cnf(c26, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(strict_predicate_extension, [assumptions([a17])], [c23, c24])).
% 0.12/0.39
% 0.12/0.39 cnf(c27, plain,
% 0.12/0.39 ~c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X6,tc_prod(tc_nat,tc_nat))).
% 0.12/0.39 cnf(a18, assumption,
% 0.12/0.39 c_Pair(v_n,v_m,tc_nat,tc_nat) = c_Pair(v_n,v_m,tc_nat,tc_nat)).
% 0.12/0.39 cnf(a19, assumption,
% 0.12/0.39 X0 = X6).
% 0.12/0.39 cnf(a20, assumption,
% 0.12/0.39 tc_prod(tc_nat,tc_nat) = tc_prod(tc_nat,tc_nat)).
% 0.12/0.39 cnf(c28, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c6, c27])).
% 0.12/0.39
% 0.12/0.39 cnf(c29, plain,
% 0.12/0.39 $false,
% 0.12/0.39 inference(constraint_solving, [
% 0.12/0.39 bind(X0, c_Relation_OId),
% 0.12/0.39 bind(X1, c_0),
% 0.12/0.39 bind(X2, tc_nat),
% 0.12/0.39 bind(X3, v_x(X0)),
% 0.12/0.39 bind(X4, v_xa(X0)),
% 0.12/0.39 bind(X5, tc_nat),
% 0.12/0.39 bind(X6, c_Relation_OId),
% 0.12/0.39 bind(X7, c_Suc(v_x(X6))),
% 0.12/0.39 bind(X8, tc_nat),
% 0.12/0.39 bind(X9, v_n),
% 0.12/0.39 bind(X10, v_m),
% 0.12/0.39 bind(X11, tc_nat)
% 0.12/0.39 ],
% 0.12/0.39 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])).
% 0.12/0.39
% 0.12/0.39 % SZS output end IncompleteProof
%------------------------------------------------------------------------------