%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL215-1 : 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 : n026.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 12:28:20 PM UTC 2026 % Result : Unsatisfiable 0.12s 0.42s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL215-1 : 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 % 0.08/0.35 % Computer : n026.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 5 19:18:11 UTC 2026 % 0.12/0.36 % CPUTime : % 0.12/0.42 % SZS status Unsatisfiable % 0.12/0.42 % SZS output begin IncompleteProof % 0.12/0.42 cnf(c0, axiom, % 0.12/0.42 ~theorem(or(not(or(not(p),q)),or(not(or(p,q)),q)))). % 0.12/0.42 cnf(c1, plain, % 0.12/0.42 ~theorem(or(not(or(not(p),q)),or(not(or(p,q)),q))), % 0.12/0.42 inference(start, [], [c0])). % 0.12/0.42 % 0.12/0.42 cnf(c2, axiom, % 0.12/0.42 ~theorem(X0) | ~axiom(or(not(X0),X1)) | theorem(X1)). % 0.12/0.42 cnf(a0, assumption, % 0.12/0.42 or(not(or(not(p),q)),or(not(or(p,q)),q)) = X1). % 0.12/0.42 cnf(c3, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.42 cnf(c4, plain, % 0.12/0.42 ~theorem(X0) | ~axiom(or(not(X0),X1)), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.42 % 0.12/0.42 cnf(c5, axiom, % 0.12/0.42 ~theorem(or(not(X2),X3)) | ~axiom(or(not(X4),X2)) | theorem(or(not(X4),X3))). % 0.12/0.42 cnf(a1, assumption, % 0.12/0.42 X0 = or(not(X4),X3)). % 0.12/0.42 cnf(c6, plain, % 0.12/0.42 ~axiom(or(not(X0),X1)), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.12/0.42 cnf(c7, plain, % 0.12/0.42 ~theorem(or(not(X2),X3)) | ~axiom(or(not(X4),X2)), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.12/0.42 % 0.12/0.42 cnf(c8, axiom, % 0.12/0.42 ~theorem(X5) | ~axiom(or(not(X5),X6)) | theorem(X6)). % 0.12/0.42 cnf(a2, assumption, % 0.12/0.42 or(not(X2),X3) = X6). % 0.12/0.42 cnf(c9, plain, % 0.12/0.42 ~axiom(or(not(X4),X2)), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.12/0.42 cnf(c10, plain, % 0.12/0.42 ~theorem(X5) | ~axiom(or(not(X5),X6)), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.12/0.42 % 0.12/0.42 cnf(c11, axiom, % 0.12/0.42 ~theorem(or(not(X7),X8)) | ~axiom(or(not(X9),X7)) | theorem(or(not(X9),X8))). % 0.12/0.42 cnf(a3, assumption, % 0.12/0.42 X5 = or(not(X9),X8)). % 0.12/0.42 cnf(c12, plain, % 0.12/0.42 ~axiom(or(not(X5),X6)), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.12/0.42 cnf(c13, plain, % 0.12/0.42 ~theorem(or(not(X7),X8)) | ~axiom(or(not(X9),X7)), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.12/0.42 % 0.12/0.42 cnf(c14, axiom, % 0.12/0.42 ~theorem(X10) | ~axiom(or(not(X10),X11)) | theorem(X11)). % 0.12/0.42 cnf(a4, assumption, % 0.12/0.42 or(not(X7),X8) = X11). % 0.12/0.42 cnf(c15, plain, % 0.12/0.42 ~axiom(or(not(X9),X7)), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 0.12/0.42 cnf(c16, plain, % 0.12/0.42 ~theorem(X10) | ~axiom(or(not(X10),X11)), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 0.12/0.42 % 0.12/0.42 cnf(c17, axiom, % 0.12/0.42 ~axiom(X12) | theorem(X12)). % 0.12/0.42 cnf(a5, assumption, % 0.12/0.42 X10 = X12). % 0.12/0.42 cnf(c18, plain, % 0.12/0.42 ~axiom(or(not(X10),X11)), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 0.12/0.42 cnf(c19, plain, % 0.12/0.42 ~axiom(X12), % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 0.12/0.42 % 0.12/0.42 cnf(c20, axiom, % 0.12/0.42 axiom(or(not(or(X13,X13)),X13))). % 0.12/0.42 cnf(a6, assumption, % 0.12/0.42 X12 = or(not(or(X13,X13)),X13)). % 0.12/0.42 cnf(c21, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 0.12/0.42 cnf(c22, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 0.12/0.42 % 0.12/0.42 cnf(c23, axiom, % 0.12/0.42 axiom(or(not(or(not(X14),X15)),or(not(or(X16,X14)),or(X16,X15))))). % 0.12/0.42 cnf(a7, assumption, % 0.12/0.42 or(not(X10),X11) = or(not(or(not(X14),X15)),or(not(or(X16,X14)),or(X16,X15)))). % 0.12/0.42 cnf(c24, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a7])], [c18, c23])). % 0.12/0.42 cnf(c25, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a7])], [c18, c23])). % 0.12/0.42 % 0.12/0.42 cnf(c26, axiom, % 0.12/0.42 axiom(or(not(or(not(X17),X18)),or(not(or(X19,X17)),or(X19,X18))))). % 0.12/0.42 cnf(a8, assumption, % 0.12/0.42 or(not(X9),X7) = or(not(or(not(X17),X18)),or(not(or(X19,X17)),or(X19,X18)))). % 0.12/0.42 cnf(c27, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a8])], [c15, c26])). % 0.12/0.42 cnf(c28, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a8])], [c15, c26])). % 0.12/0.42 % 0.12/0.42 cnf(c29, axiom, % 0.12/0.42 axiom(or(not(or(X20,or(X21,X22))),or(X21,or(X20,X22))))). % 0.12/0.42 cnf(a9, assumption, % 0.12/0.42 or(not(X5),X6) = or(not(or(X20,or(X21,X22))),or(X21,or(X20,X22)))). % 0.12/0.42 cnf(c30, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a9])], [c12, c29])). % 0.12/0.42 cnf(c31, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a9])], [c12, c29])). % 0.12/0.42 % 0.12/0.42 cnf(c32, axiom, % 0.12/0.42 axiom(or(not(or(X23,X24)),or(X24,X23)))). % 0.12/0.42 cnf(a10, assumption, % 0.12/0.42 or(not(X4),X2) = or(not(or(X23,X24)),or(X24,X23))). % 0.12/0.42 cnf(c33, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a10])], [c9, c32])). % 0.12/0.42 cnf(c34, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a10])], [c9, c32])). % 0.12/0.42 % 0.12/0.42 cnf(c35, axiom, % 0.12/0.42 axiom(or(not(or(X25,or(X26,X27))),or(X26,or(X25,X27))))). % 0.12/0.42 cnf(a11, assumption, % 0.12/0.42 or(not(X0),X1) = or(not(or(X25,or(X26,X27))),or(X26,or(X25,X27)))). % 0.12/0.42 cnf(c36, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a11])], [c6, c35])). % 0.12/0.42 cnf(c37, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(strict_predicate_extension, [assumptions([a11])], [c6, c35])). % 0.12/0.42 % 0.12/0.42 cnf(c38, plain, % 0.12/0.42 $false, % 0.12/0.42 inference(constraint_solving, [ % 0.12/0.42 bind(X0, or(not(X4),X3)), % 0.12/0.42 bind(X1, or(not(or(not(p),q)),or(not(or(p,q)),q))), % 0.12/0.42 bind(X2, or(X19,X17)), % 0.12/0.42 bind(X3, or(X20,X22)), % 0.12/0.42 bind(X4, or(X23,X24)), % 0.12/0.42 bind(X5, or(not(X9),X8)), % 0.12/0.42 bind(X6, or(not(X2),X3)), % 0.12/0.42 bind(X7, or(X16,X14)), % 0.12/0.42 bind(X8, or(X16,X15)), % 0.12/0.42 bind(X9, or(not(X17),X18)), % 0.12/0.42 bind(X10, or(not(or(X13,X13)),X13)), % 0.12/0.42 bind(X11, or(not(X7),X8)), % 0.12/0.42 bind(X12, or(not(or(X13,X13)),X13)), % 0.12/0.42 bind(X13, q), % 0.12/0.42 bind(X14, or(X13,X13)), % 0.12/0.42 bind(X15, q), % 0.12/0.42 bind(X16, not(or(X19,X17))), % 0.12/0.42 bind(X17, p), % 0.12/0.42 bind(X18, q), % 0.12/0.42 bind(X19, q), % 0.12/0.42 bind(X20, not(X9)), % 0.12/0.42 bind(X21, not(or(X19,X17))), % 0.12/0.42 bind(X22, q), % 0.12/0.42 bind(X23, p), % 0.12/0.42 bind(X24, q), % 0.12/0.42 bind(X25, not(X4)), % 0.12/0.42 bind(X26, not(X9)), % 0.12/0.42 bind(X27, q) % 0.12/0.42 ], % 0.12/0.42 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 0.12/0.42 % 0.12/0.42 % SZS output end IncompleteProof %------------------------------------------------------------------------------