%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL202-1 : TPTP v9.3.1. Released v1.1.0. % 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 12:28:18 PM UTC 2026 % Result : Unsatisfiable 1.71s 0.60s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL202-1 : TPTP v9.3.1. Released v1.1.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.36 % Computer : n029.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 5 07:10:40 UTC 2026 % 0.09/0.37 % CPUTime : % 1.71/0.60 % SZS status Unsatisfiable % 1.71/0.60 % SZS output begin IncompleteProof % 1.71/0.60 cnf(c0, axiom, % 1.71/0.60 ~theorem(or(not(not(or(p,q))),or(p,not(q))))). % 1.71/0.60 cnf(c1, plain, % 1.71/0.60 ~theorem(or(not(not(or(p,q))),or(p,not(q)))), % 1.71/0.60 inference(start, [], [c0])). % 1.71/0.60 % 1.71/0.60 cnf(c2, axiom, % 1.71/0.60 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)) | theorem(or(not(X2),X1))). % 1.71/0.60 cnf(a0, assumption, % 1.71/0.60 or(not(not(or(p,q))),or(p,not(q))) = or(not(X2),X1)). % 1.71/0.60 cnf(c3, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 1.71/0.60 cnf(c4, plain, % 1.71/0.60 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 1.71/0.60 % 1.71/0.60 cnf(c5, axiom, % 1.71/0.60 ~theorem(or(not(X3),X4)) | ~axiom(or(not(X5),X3)) | theorem(or(not(X5),X4))). % 1.71/0.60 cnf(a1, assumption, % 1.71/0.60 or(not(X0),X1) = or(not(X5),X4)). % 1.71/0.60 cnf(c6, plain, % 1.71/0.60 ~axiom(or(not(X2),X0)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 1.71/0.60 cnf(c7, plain, % 1.71/0.60 ~theorem(or(not(X3),X4)) | ~axiom(or(not(X5),X3)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 1.71/0.60 % 1.71/0.60 cnf(c8, axiom, % 1.71/0.60 ~theorem(X6) | ~axiom(or(not(X6),X7)) | theorem(X7)). % 1.71/0.60 cnf(a2, assumption, % 1.71/0.60 or(not(X3),X4) = X7). % 1.71/0.60 cnf(c9, plain, % 1.71/0.60 ~axiom(or(not(X5),X3)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 1.71/0.60 cnf(c10, plain, % 1.71/0.60 ~theorem(X6) | ~axiom(or(not(X6),X7)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 1.71/0.60 % 1.71/0.60 cnf(c11, axiom, % 1.71/0.60 ~theorem(X8) | ~axiom(or(not(X8),X9)) | theorem(X9)). % 1.71/0.60 cnf(a3, assumption, % 1.71/0.60 X6 = X9). % 1.71/0.60 cnf(c12, plain, % 1.71/0.60 ~axiom(or(not(X6),X7)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 1.71/0.60 cnf(c13, plain, % 1.71/0.60 ~theorem(X8) | ~axiom(or(not(X8),X9)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 1.71/0.60 % 1.71/0.60 cnf(c14, axiom, % 1.71/0.60 ~theorem(or(not(X10),X11)) | ~axiom(or(not(X12),X10)) | theorem(or(not(X12),X11))). % 1.71/0.60 cnf(a4, assumption, % 1.71/0.60 X8 = or(not(X12),X11)). % 1.71/0.60 cnf(c15, plain, % 1.71/0.60 ~axiom(or(not(X8),X9)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 1.71/0.60 cnf(c16, plain, % 1.71/0.60 ~theorem(or(not(X10),X11)) | ~axiom(or(not(X12),X10)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 1.71/0.60 % 1.71/0.60 cnf(c17, axiom, % 1.71/0.60 ~theorem(X13) | ~axiom(or(not(X13),X14)) | theorem(X14)). % 1.71/0.60 cnf(a5, assumption, % 1.71/0.60 or(not(X10),X11) = X14). % 1.71/0.60 cnf(c18, plain, % 1.71/0.60 ~axiom(or(not(X12),X10)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 1.71/0.60 cnf(c19, plain, % 1.71/0.60 ~theorem(X13) | ~axiom(or(not(X13),X14)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 1.71/0.60 % 1.71/0.60 cnf(c20, axiom, % 1.71/0.60 ~axiom(X15) | theorem(X15)). % 1.71/0.60 cnf(a6, assumption, % 1.71/0.60 X13 = X15). % 1.71/0.60 cnf(c21, plain, % 1.71/0.60 ~axiom(or(not(X13),X14)), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 1.71/0.60 cnf(c22, plain, % 1.71/0.60 ~axiom(X15), % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 1.71/0.60 % 1.71/0.60 cnf(c23, axiom, % 1.71/0.60 axiom(or(not(or(X16,X16)),X16))). % 1.71/0.60 cnf(a7, assumption, % 1.71/0.60 X15 = or(not(or(X16,X16)),X16)). % 1.71/0.60 cnf(c24, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 1.71/0.60 cnf(c25, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 1.71/0.60 % 1.71/0.60 cnf(c26, axiom, % 1.71/0.60 axiom(or(not(or(X17,X18)),or(X18,X17)))). % 1.71/0.60 cnf(a8, assumption, % 1.71/0.60 or(not(X13),X14) = or(not(or(X17,X18)),or(X18,X17))). % 1.71/0.60 cnf(c27, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a8])], [c21, c26])). % 1.71/0.60 cnf(c28, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a8])], [c21, c26])). % 1.71/0.60 % 1.71/0.60 cnf(c29, axiom, % 1.71/0.60 axiom(or(not(X19),or(X20,X19)))). % 1.71/0.60 cnf(a9, assumption, % 1.71/0.60 or(not(X12),X10) = or(not(X19),or(X20,X19))). % 1.71/0.60 cnf(c30, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a9])], [c18, c29])). % 1.71/0.60 cnf(c31, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a9])], [c18, c29])). % 1.71/0.60 % 1.71/0.60 cnf(c32, axiom, % 1.71/0.60 axiom(or(not(or(X21,X22)),or(X22,X21)))). % 1.71/0.60 cnf(a10, assumption, % 1.71/0.60 or(not(X8),X9) = or(not(or(X21,X22)),or(X22,X21))). % 1.71/0.60 cnf(c33, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a10])], [c15, c32])). % 1.71/0.60 cnf(c34, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a10])], [c15, c32])). % 1.71/0.60 % 1.71/0.60 cnf(c35, axiom, % 1.71/0.60 axiom(or(not(or(not(X23),X24)),or(not(or(X25,X23)),or(X25,X24))))). % 1.71/0.60 cnf(a11, assumption, % 1.71/0.60 or(not(X6),X7) = or(not(or(not(X23),X24)),or(not(or(X25,X23)),or(X25,X24)))). % 1.71/0.60 cnf(c36, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a11])], [c12, c35])). % 1.71/0.60 cnf(c37, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a11])], [c12, c35])). % 1.71/0.60 % 1.71/0.60 cnf(c38, axiom, % 1.71/0.60 axiom(or(not(X26),or(X27,X26)))). % 1.71/0.60 cnf(a12, assumption, % 1.71/0.60 or(not(X5),X3) = or(not(X26),or(X27,X26))). % 1.71/0.60 cnf(c39, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a12])], [c9, c38])). % 1.71/0.60 cnf(c40, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a12])], [c9, c38])). % 1.71/0.60 % 1.71/0.60 cnf(c41, axiom, % 1.71/0.60 axiom(or(not(X28),or(X29,X28)))). % 1.71/0.60 cnf(a13, assumption, % 1.71/0.60 or(not(X2),X0) = or(not(X28),or(X29,X28))). % 1.71/0.60 cnf(c42, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a13])], [c6, c41])). % 1.71/0.60 cnf(c43, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(strict_predicate_extension, [assumptions([a13])], [c6, c41])). % 1.71/0.60 % 1.71/0.60 cnf(c44, plain, % 1.71/0.60 $false, % 1.71/0.60 inference(constraint_solving, [ % 1.71/0.60 bind(X0, or(X16,X16)), % 1.71/0.60 bind(X1, or(p,not(q))), % 1.71/0.60 bind(X2, not(or(p,q))), % 1.71/0.60 bind(X3, or(X25,X23)), % 1.71/0.60 bind(X4, or(p,not(q))), % 1.71/0.60 bind(X5, or(X16,X16)), % 1.71/0.60 bind(X6, or(X22,X21)), % 1.71/0.60 bind(X7, or(not(X3),X4)), % 1.71/0.60 bind(X8, or(not(X12),X11)), % 1.71/0.60 bind(X9, or(X22,X21)), % 1.71/0.60 bind(X10, or(X20,X19)), % 1.71/0.60 bind(X11, not(or(X16,X16))), % 1.71/0.60 bind(X12, q), % 1.71/0.60 bind(X13, or(not(or(X16,X16)),X16)), % 1.71/0.60 bind(X14, or(not(X10),X11)), % 1.71/0.60 bind(X15, or(not(or(X16,X16)),X16)), % 1.71/0.60 bind(X16, not(X10)), % 1.71/0.60 bind(X17, not(or(X16,X16))), % 1.71/0.60 bind(X18, not(X10)), % 1.71/0.60 bind(X19, q), % 1.71/0.60 bind(X20, p), % 1.71/0.60 bind(X21, not(X12)), % 1.71/0.60 bind(X22, not(or(X16,X16))), % 1.71/0.60 bind(X23, or(X16,X16)), % 1.71/0.60 bind(X24, not(X12)), % 1.71/0.60 bind(X25, p), % 1.71/0.60 bind(X26, or(X16,X16)), % 1.71/0.60 bind(X27, p), % 1.71/0.60 bind(X28, not(or(p,q))), % 1.71/0.60 bind(X29, not(X10)) % 1.71/0.60 ], % 1.71/0.60 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])). % 1.71/0.60 % 1.71/0.60 % SZS output end IncompleteProof %------------------------------------------------------------------------------