%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL209-3 : TPTP v9.3.1. Released v2.3.0. % 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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:28:19 PM UTC 2026 % Result : Unsatisfiable 16.24s 2.41s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL209-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.06/0.34 % Computer : n029.cluster.edu % 0.06/0.34 % Model : x86_64 x86_64 % 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.34 % Memory : 8046.5625MB % 0.06/0.34 % OS : Linux 6.8.0-71-generic % 0.06/0.34 % CPULimit : 300 % 0.06/0.34 % WCLimit : 300 % 0.06/0.34 % DateTime : Fri Sep 4 16:32:24 UTC 2026 % 0.06/0.35 % CPUTime : % 16.24/2.41 % SZS status Unsatisfiable % 16.24/2.41 % SZS output begin IncompleteProof % 16.24/2.41 cnf(c0, axiom, % 16.24/2.41 ~theorem(or(not(or(not(not(p)),q)),or(p,q)))). % 16.24/2.41 cnf(c1, plain, % 16.24/2.41 ~theorem(or(not(or(not(not(p)),q)),or(p,q))), % 16.24/2.41 inference(start, [], [c0])). % 16.24/2.41 % 16.24/2.41 cnf(c2, axiom, % 16.24/2.41 ~theorem(X0) | ~theorem(or(not(X0),X1)) | theorem(X1)). % 16.24/2.41 cnf(a0, assumption, % 16.24/2.41 or(not(or(not(not(p)),q)),or(p,q)) = X1). % 16.24/2.41 cnf(c3, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 16.24/2.41 cnf(c4, plain, % 16.24/2.41 ~theorem(X0) | ~theorem(or(not(X0),X1)), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 16.24/2.41 % 16.24/2.41 cnf(c5, axiom, % 16.24/2.41 ~theorem(X2) | ~theorem(or(not(X2),X3)) | theorem(X3)). % 16.24/2.41 cnf(a1, assumption, % 16.24/2.41 X0 = X3). % 16.24/2.41 cnf(c6, plain, % 16.24/2.41 ~theorem(or(not(X0),X1)), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 16.24/2.41 cnf(c7, plain, % 16.24/2.41 ~theorem(X2) | ~theorem(or(not(X2),X3)), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 16.24/2.41 % 16.24/2.41 cnf(c8, axiom, % 16.24/2.41 ~theorem(X4) | ~theorem(or(not(X4),X5)) | theorem(X5)). % 16.24/2.41 cnf(a2, assumption, % 16.24/2.41 X2 = X5). % 16.24/2.41 cnf(c9, plain, % 16.24/2.41 ~theorem(or(not(X2),X3)), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 16.24/2.41 cnf(c10, plain, % 16.24/2.41 ~theorem(X4) | ~theorem(or(not(X4),X5)), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 16.24/2.41 % 16.24/2.41 cnf(c11, axiom, % 16.24/2.41 ~axiom(X6) | theorem(X6)). % 16.24/2.41 cnf(a3, assumption, % 16.24/2.41 X4 = X6). % 16.24/2.41 cnf(c12, plain, % 16.24/2.41 ~theorem(or(not(X4),X5)), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 16.24/2.41 cnf(c13, plain, % 16.24/2.41 ~axiom(X6), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 16.24/2.41 % 16.24/2.41 cnf(c14, axiom, % 16.24/2.41 axiom(or(not(or(X7,X8)),or(X8,X7)))). % 16.24/2.41 cnf(a4, assumption, % 16.24/2.41 X6 = or(not(or(X7,X8)),or(X8,X7))). % 16.24/2.41 cnf(c15, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 16.24/2.41 cnf(c16, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 16.24/2.41 % 16.24/2.41 cnf(c17, axiom, % 16.24/2.41 ~theorem(X9) | ~theorem(or(not(X9),X10)) | theorem(X10)). % 16.24/2.41 cnf(a5, assumption, % 16.24/2.41 or(not(X4),X5) = X10). % 16.24/2.41 cnf(c18, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a5])], [c12, c17])). % 16.24/2.41 cnf(c19, plain, % 16.24/2.41 ~theorem(X9) | ~theorem(or(not(X9),X10)), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a5])], [c12, c17])). % 16.24/2.41 % 16.24/2.41 cnf(c20, axiom, % 16.24/2.41 ~axiom(X11) | theorem(X11)). % 16.24/2.41 cnf(a6, assumption, % 16.24/2.41 X9 = X11). % 16.24/2.41 cnf(c21, plain, % 16.24/2.41 ~theorem(or(not(X9),X10)), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 16.24/2.41 cnf(c22, plain, % 16.24/2.41 ~axiom(X11), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 16.24/2.41 % 16.24/2.41 cnf(c23, axiom, % 16.24/2.41 axiom(or(not(X12),or(X13,X12)))). % 16.24/2.41 cnf(a7, assumption, % 16.24/2.41 X11 = or(not(X12),or(X13,X12))). % 16.24/2.41 cnf(c24, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 16.24/2.41 cnf(c25, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 16.24/2.41 % 16.24/2.41 cnf(c26, axiom, % 16.24/2.41 ~axiom(X14) | theorem(X14)). % 16.24/2.41 cnf(a8, assumption, % 16.24/2.41 or(not(X9),X10) = X14). % 16.24/2.41 cnf(c27, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a8])], [c21, c26])). % 16.24/2.41 cnf(c28, plain, % 16.24/2.41 ~axiom(X14), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a8])], [c21, c26])). % 16.24/2.41 % 16.24/2.41 cnf(c29, axiom, % 16.24/2.41 axiom(or(not(or(X15,or(X16,X17))),or(X16,or(X15,X17))))). % 16.24/2.41 cnf(a9, assumption, % 16.24/2.41 X14 = or(not(or(X15,or(X16,X17))),or(X16,or(X15,X17)))). % 16.24/2.41 cnf(c30, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 16.24/2.41 cnf(c31, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 16.24/2.41 % 16.24/2.41 cnf(c32, plain, % 16.24/2.41 theorem(X4)). % 16.24/2.41 cnf(a10, assumption, % 16.24/2.41 or(not(X2),X3) = X4). % 16.24/2.41 cnf(c33, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(predicate_reduction, [assumptions([a10])], [c9, c32])). % 16.24/2.41 % 16.24/2.41 cnf(c34, axiom, % 16.24/2.41 ~theorem(X18) | ~theorem(or(not(X18),X19)) | theorem(X19)). % 16.24/2.41 cnf(a11, assumption, % 16.24/2.41 or(not(X0),X1) = X19). % 16.24/2.41 cnf(c35, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a11])], [c6, c34])). % 16.24/2.41 cnf(c36, plain, % 16.24/2.41 ~theorem(X18) | ~theorem(or(not(X18),X19)), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a11])], [c6, c34])). % 16.24/2.41 % 16.24/2.41 cnf(c37, axiom, % 16.24/2.41 ~axiom(X20) | theorem(X20)). % 16.24/2.41 cnf(a12, assumption, % 16.24/2.41 X18 = X20). % 16.24/2.41 cnf(c38, plain, % 16.24/2.41 ~theorem(or(not(X18),X19)), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a12])], [c36, c37])). % 16.24/2.41 cnf(c39, plain, % 16.24/2.41 ~axiom(X20), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a12])], [c36, c37])). % 16.24/2.41 % 16.24/2.41 cnf(c40, axiom, % 16.24/2.41 axiom(or(not(or(not(X21),X22)),or(not(or(X23,X21)),or(X23,X22))))). % 16.24/2.41 cnf(a13, assumption, % 16.24/2.41 X20 = or(not(or(not(X21),X22)),or(not(or(X23,X21)),or(X23,X22)))). % 16.24/2.41 cnf(c41, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a13])], [c39, c40])). % 16.24/2.41 cnf(c42, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a13])], [c39, c40])). % 16.24/2.41 % 16.24/2.41 cnf(c43, axiom, % 16.24/2.41 ~axiom(X24) | theorem(X24)). % 16.24/2.41 cnf(a14, assumption, % 16.24/2.41 or(not(X18),X19) = X24). % 16.24/2.41 cnf(c44, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a14])], [c38, c43])). % 16.24/2.41 cnf(c45, plain, % 16.24/2.41 ~axiom(X24), % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a14])], [c38, c43])). % 16.24/2.41 % 16.24/2.41 cnf(c46, axiom, % 16.24/2.41 axiom(or(not(or(X25,or(X26,X27))),or(X26,or(X25,X27))))). % 16.24/2.41 cnf(a15, assumption, % 16.24/2.41 X24 = or(not(or(X25,or(X26,X27))),or(X26,or(X25,X27)))). % 16.24/2.41 cnf(c47, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a15])], [c45, c46])). % 16.24/2.41 cnf(c48, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(strict_predicate_extension, [assumptions([a15])], [c45, c46])). % 16.24/2.41 % 16.24/2.41 cnf(c49, plain, % 16.24/2.41 $false, % 16.24/2.41 inference(constraint_solving, [ % 16.24/2.41 bind(X0, or(X8,X7)), % 16.24/2.41 bind(X1, or(not(or(not(not(p)),q)),or(p,q))), % 16.24/2.41 bind(X2, or(X15,X17)), % 16.24/2.41 bind(X3, or(X8,X7)), % 16.24/2.41 bind(X4, or(not(or(X7,X8)),or(X8,X7))), % 16.24/2.41 bind(X5, or(X15,X17)), % 16.24/2.41 bind(X6, or(not(or(X7,X8)),or(X8,X7))), % 16.24/2.41 bind(X7, not(X12)), % 16.24/2.41 bind(X8, p), % 16.24/2.41 bind(X9, or(not(X12),or(X13,X12))), % 16.24/2.41 bind(X10, or(not(X4),X5)), % 16.24/2.41 bind(X11, or(not(X12),or(X13,X12))), % 16.24/2.41 bind(X12, p), % 16.24/2.41 bind(X13, not(X4)), % 16.24/2.41 bind(X14, or(not(X9),X10)), % 16.24/2.41 bind(X15, not(X12)), % 16.24/2.41 bind(X16, not(X4)), % 16.24/2.41 bind(X17, p), % 16.24/2.41 bind(X18, or(not(or(not(X21),X22)),or(not(or(X23,X21)),or(X23,X22)))), % 16.24/2.41 bind(X19, or(not(X0),X1)), % 16.24/2.41 bind(X20, or(not(or(not(X21),X22)),or(not(or(X23,X21)),or(X23,X22)))), % 16.24/2.41 bind(X21, not(X12)), % 16.24/2.41 bind(X22, q), % 16.24/2.41 bind(X23, p), % 16.24/2.41 bind(X24, or(not(X18),X19)), % 16.24/2.41 bind(X25, not(or(not(X21),X22))), % 16.24/2.41 bind(X26, not(or(X23,X21))), % 16.24/2.41 bind(X27, or(X23,X22)) % 16.24/2.41 ], % 16.24/2.41 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])). % 16.24/2.41 % 16.24/2.41 % SZS output end IncompleteProof %------------------------------------------------------------------------------