TSTP Solution File: HAL003+3 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n026.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 : Sat Jul 16 12:45:33 EDT 2022
% Result : Theorem 228.00s 29.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 21:36:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 228.00/29.16 % SZS status Theorem
% 228.00/29.16 % SZS output begin IncompleteProof
% 228.00/29.16 cnf(c0, axiom,
% 228.00/29.16 ~surjection(g)).
% 228.00/29.16 cnf(c1, plain,
% 228.00/29.16 ~surjection(g),
% 228.00/29.16 inference(start, [], [c0])).
% 228.00/29.16
% 228.00/29.16 cnf(c2, axiom,
% 228.00/29.16 surjection(X0) | element(sK11(X0,X1,X2),X2) | ~morphism(X0,X1,X2)).
% 228.00/29.16 cnf(a0, assumption,
% 228.00/29.16 g = X0).
% 228.00/29.16 cnf(c3, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 228.00/29.16 cnf(c4, plain,
% 228.00/29.16 element(sK11(X0,X1,X2),X2) | ~morphism(X0,X1,X2),
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 228.00/29.16
% 228.00/29.16 cnf(c5, axiom,
% 228.00/29.16 sP7(X3) | ~element(X3,e)).
% 228.00/29.16 cnf(a1, assumption,
% 228.00/29.16 sK11(X0,X1,X2) = X3).
% 228.00/29.16 cnf(a2, assumption,
% 228.00/29.16 X2 = e).
% 228.00/29.16 cnf(c6, plain,
% 228.00/29.16 ~morphism(X0,X1,X2),
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])).
% 228.00/29.16 cnf(c7, plain,
% 228.00/29.16 sP7(X3),
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])).
% 228.00/29.16
% 228.00/29.16 cnf(c8, axiom,
% 228.00/29.16 apply(g,subtract(b,sK21(X4),sK22(X4))) = X4 | ~sP7(X4)).
% 228.00/29.16 cnf(a3, assumption,
% 228.00/29.16 X3 = X4).
% 228.00/29.16 cnf(c9, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a3])], [c7, c8])).
% 228.00/29.16 cnf(c10, plain,
% 228.00/29.16 apply(g,subtract(b,sK21(X4),sK22(X4))) = X4,
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a3])], [c7, c8])).
% 228.00/29.16
% 228.00/29.16 cnf(c11, axiom,
% 228.00/29.16 surjection(X5) | apply(X5,X6) != sK11(X5,X7,X8) | ~element(X6,X7) | ~morphism(X5,X7,X8)).
% 228.00/29.16 cnf(a4, assumption,
% 228.00/29.16 apply(X5,X6) = apply(g,subtract(b,sK21(X4),sK22(X4)))).
% 228.00/29.16 cnf(c12, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(strict_subterm_extension, [assumptions([a4])], [c10, c11])).
% 228.00/29.16 cnf(c13, plain,
% 228.00/29.16 surjection(X5) | ~element(X6,X7) | ~morphism(X5,X7,X8),
% 228.00/29.16 inference(strict_subterm_extension, [assumptions([a4])], [c10, c11])).
% 228.00/29.16 cnf(c14, plain,
% 228.00/29.16 X4 != sK11(X5,X7,X8),
% 228.00/29.16 inference(strict_subterm_extension, [assumptions([a4])], [c10, c11])).
% 228.00/29.16
% 228.00/29.16 cnf(a5, assumption,
% 228.00/29.16 X4 = sK11(X5,X7,X8)).
% 228.00/29.16 cnf(c15, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(reflexivity, [assumptions([a5])], [c14])).
% 228.00/29.16
% 228.00/29.16 cnf(c16, plain,
% 228.00/29.16 ~surjection(g)).
% 228.00/29.16 cnf(a6, assumption,
% 228.00/29.16 X5 = g).
% 228.00/29.16 cnf(c17, plain,
% 228.00/29.16 ~element(X6,X7) | ~morphism(X5,X7,X8),
% 228.00/29.16 inference(predicate_reduction, [assumptions([a6])], [c13, c16])).
% 228.00/29.16
% 228.00/29.16 cnf(c18, axiom,
% 228.00/29.16 element(subtract(X9,X10,X11),X9) | ~element(X11,X9) | ~element(X10,X9)).
% 228.00/29.16 cnf(a7, assumption,
% 228.00/29.16 X6 = subtract(X9,X10,X11)).
% 228.00/29.16 cnf(a8, assumption,
% 228.00/29.16 X7 = X9).
% 228.00/29.16 cnf(c19, plain,
% 228.00/29.16 ~morphism(X5,X7,X8),
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a7, a8])], [c17, c18])).
% 228.00/29.16 cnf(c20, plain,
% 228.00/29.16 ~element(X11,X9) | ~element(X10,X9),
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a7, a8])], [c17, c18])).
% 228.00/29.16
% 228.00/29.16 cnf(c21, axiom,
% 228.00/29.16 element(sK22(X12),b) | ~sP7(X12)).
% 228.00/29.16 cnf(a9, assumption,
% 228.00/29.16 X11 = sK22(X12)).
% 228.00/29.16 cnf(a10, assumption,
% 228.00/29.16 X9 = b).
% 228.00/29.16 cnf(c22, plain,
% 228.00/29.16 ~element(X10,X9),
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a9, a10])], [c20, c21])).
% 228.00/29.16 cnf(c23, plain,
% 228.00/29.16 ~sP7(X12),
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a9, a10])], [c20, c21])).
% 228.00/29.16
% 228.00/29.16 cnf(c24, plain,
% 228.00/29.16 sP7(X3)).
% 228.00/29.16 cnf(a11, assumption,
% 228.00/29.16 X12 = X3).
% 228.00/29.16 cnf(c25, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(predicate_reduction, [assumptions([a11])], [c23, c24])).
% 228.00/29.16
% 228.00/29.16 cnf(c26, axiom,
% 228.00/29.16 element(sK21(X13),b) | ~sP7(X13)).
% 228.00/29.16 cnf(a12, assumption,
% 228.00/29.16 X10 = sK21(X13)).
% 228.00/29.16 cnf(a13, assumption,
% 228.00/29.16 X9 = b).
% 228.00/29.16 cnf(c27, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a12, a13])], [c22, c26])).
% 228.00/29.16 cnf(c28, plain,
% 228.00/29.16 ~sP7(X13),
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a12, a13])], [c22, c26])).
% 228.00/29.16
% 228.00/29.16 cnf(c29, plain,
% 228.00/29.16 sP7(X3)).
% 228.00/29.16 cnf(a14, assumption,
% 228.00/29.16 X13 = X3).
% 228.00/29.16 cnf(c30, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(predicate_reduction, [assumptions([a14])], [c28, c29])).
% 228.00/29.16
% 228.00/29.16 cnf(c31, axiom,
% 228.00/29.16 morphism(g,b,e)).
% 228.00/29.16 cnf(a15, assumption,
% 228.00/29.16 X5 = g).
% 228.00/29.16 cnf(a16, assumption,
% 228.00/29.16 X7 = b).
% 228.00/29.16 cnf(a17, assumption,
% 228.00/29.16 X8 = e).
% 228.00/29.16 cnf(c32, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c19, c31])).
% 228.00/29.16 cnf(c33, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c19, c31])).
% 228.00/29.16
% 228.00/29.16 cnf(c34, plain,
% 228.00/29.16 morphism(X5,X7,X8)).
% 228.00/29.16 cnf(a18, assumption,
% 228.00/29.16 X0 = X5).
% 228.00/29.16 cnf(a19, assumption,
% 228.00/29.16 X1 = X7).
% 228.00/29.16 cnf(a20, assumption,
% 228.00/29.16 X2 = X8).
% 228.00/29.16 cnf(c35, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c6, c34])).
% 228.00/29.16
% 228.00/29.16 cnf(c36, plain,
% 228.00/29.16 $false,
% 228.00/29.16 inference(constraint_solving, [
% 228.00/29.16 bind(X0, g),
% 228.00/29.16 bind(X1, b),
% 228.00/29.16 bind(X2, e),
% 228.00/29.16 bind(X3, sK11(X0,X1,X2)),
% 228.00/29.16 bind(X4, sK11(X0,X1,X2)),
% 228.00/29.16 bind(X5, g),
% 228.00/29.16 bind(X6, subtract(b,sK21(X4),sK22(X4))),
% 228.00/29.16 bind(X7, b),
% 228.00/29.16 bind(X8, e),
% 228.00/29.16 bind(X9, b),
% 228.00/29.16 bind(X10, sK21(X4)),
% 228.00/29.16 bind(X11, sK22(X4)),
% 228.00/29.16 bind(X12, sK11(X0,X1,X2)),
% 228.00/29.16 bind(X13, sK11(X0,X1,X2))
% 228.00/29.16 ],
% 228.00/29.16 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])).
% 228.00/29.16
% 228.00/29.16 % SZS output end IncompleteProof
%------------------------------------------------------------------------------