%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL195-1 : 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 : n006.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 1.05s 0.54s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL195-1 : 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 : n006.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 % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Fri Sep 4 16:54:32 UTC 2026 % 0.08/0.35 % CPUTime : % 1.05/0.54 % SZS status Unsatisfiable % 1.05/0.54 % SZS output begin IncompleteProof % 1.05/0.54 cnf(c0, axiom, % 1.05/0.54 ~theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(r,p))))). % 1.05/0.54 cnf(c1, plain, % 1.05/0.54 ~theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(r,p)))), % 1.05/0.54 inference(start, [], [c0])). % 1.05/0.54 % 1.05/0.54 cnf(c2, axiom, % 1.05/0.54 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)) | theorem(or(not(X2),X1))). % 1.05/0.54 cnf(a0, assumption, % 1.05/0.54 or(not(or(not(q),r)),or(not(or(q,p)),or(r,p))) = or(not(X2),X1)). % 1.05/0.54 cnf(c3, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 1.05/0.54 cnf(c4, plain, % 1.05/0.54 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 1.05/0.54 % 1.05/0.54 cnf(c5, axiom, % 1.05/0.54 ~theorem(X3) | ~axiom(or(not(X3),X4)) | theorem(X4)). % 1.05/0.54 cnf(a1, assumption, % 1.05/0.54 or(not(X0),X1) = X4). % 1.05/0.54 cnf(c6, plain, % 1.05/0.54 ~axiom(or(not(X2),X0)), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 1.05/0.54 cnf(c7, plain, % 1.05/0.54 ~theorem(X3) | ~axiom(or(not(X3),X4)), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 1.05/0.54 % 1.05/0.54 cnf(c8, axiom, % 1.05/0.54 ~theorem(or(not(X5),X6)) | ~axiom(or(not(X7),X5)) | theorem(or(not(X7),X6))). % 1.05/0.54 cnf(a2, assumption, % 1.05/0.54 X3 = or(not(X7),X6)). % 1.05/0.54 cnf(c9, plain, % 1.05/0.54 ~axiom(or(not(X3),X4)), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 1.05/0.54 cnf(c10, plain, % 1.05/0.54 ~theorem(or(not(X5),X6)) | ~axiom(or(not(X7),X5)), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 1.05/0.54 % 1.05/0.54 cnf(c11, axiom, % 1.05/0.54 ~theorem(X8) | ~axiom(or(not(X8),X9)) | theorem(X9)). % 1.05/0.54 cnf(a3, assumption, % 1.05/0.54 or(not(X5),X6) = X9). % 1.05/0.54 cnf(c12, plain, % 1.05/0.54 ~axiom(or(not(X7),X5)), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 1.05/0.54 cnf(c13, plain, % 1.05/0.54 ~theorem(X8) | ~axiom(or(not(X8),X9)), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 1.05/0.54 % 1.05/0.54 cnf(c14, axiom, % 1.05/0.54 ~theorem(X10) | ~axiom(or(not(X10),X11)) | theorem(X11)). % 1.05/0.54 cnf(a4, assumption, % 1.05/0.54 X8 = X11). % 1.05/0.54 cnf(c15, plain, % 1.05/0.54 ~axiom(or(not(X8),X9)), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 1.05/0.54 cnf(c16, plain, % 1.05/0.54 ~theorem(X10) | ~axiom(or(not(X10),X11)), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 1.05/0.54 % 1.05/0.54 cnf(c17, axiom, % 1.05/0.54 ~axiom(X12) | theorem(X12)). % 1.05/0.54 cnf(a5, assumption, % 1.05/0.54 X10 = X12). % 1.05/0.54 cnf(c18, plain, % 1.05/0.54 ~axiom(or(not(X10),X11)), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 1.05/0.54 cnf(c19, plain, % 1.05/0.54 ~axiom(X12), % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 1.05/0.54 % 1.05/0.54 cnf(c20, axiom, % 1.05/0.54 axiom(or(not(or(X13,X14)),or(X14,X13)))). % 1.05/0.54 cnf(a6, assumption, % 1.05/0.54 X12 = or(not(or(X13,X14)),or(X14,X13))). % 1.05/0.54 cnf(c21, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 1.05/0.54 cnf(c22, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 1.05/0.54 % 1.05/0.54 cnf(c23, axiom, % 1.05/0.54 axiom(or(not(or(not(X15),X16)),or(not(or(X17,X15)),or(X17,X16))))). % 1.05/0.54 cnf(a7, assumption, % 1.05/0.54 or(not(X10),X11) = or(not(or(not(X15),X16)),or(not(or(X17,X15)),or(X17,X16)))). % 1.05/0.54 cnf(c24, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a7])], [c18, c23])). % 1.05/0.54 cnf(c25, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a7])], [c18, c23])). % 1.05/0.54 % 1.05/0.54 cnf(c26, axiom, % 1.05/0.54 axiom(or(not(or(X18,or(X19,X20))),or(X19,or(X18,X20))))). % 1.05/0.54 cnf(a8, assumption, % 1.05/0.54 or(not(X8),X9) = or(not(or(X18,or(X19,X20))),or(X19,or(X18,X20)))). % 1.05/0.54 cnf(c27, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a8])], [c15, c26])). % 1.05/0.54 cnf(c28, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a8])], [c15, c26])). % 1.05/0.54 % 1.05/0.54 cnf(c29, axiom, % 1.05/0.54 axiom(or(not(or(X21,X22)),or(X22,X21)))). % 1.05/0.54 cnf(a9, assumption, % 1.05/0.54 or(not(X7),X5) = or(not(or(X21,X22)),or(X22,X21))). % 1.05/0.54 cnf(c30, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a9])], [c12, c29])). % 1.05/0.54 cnf(c31, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a9])], [c12, c29])). % 1.05/0.54 % 1.05/0.54 cnf(c32, axiom, % 1.05/0.54 axiom(or(not(or(X23,or(X24,X25))),or(X24,or(X23,X25))))). % 1.05/0.54 cnf(a10, assumption, % 1.05/0.54 or(not(X3),X4) = or(not(or(X23,or(X24,X25))),or(X24,or(X23,X25)))). % 1.05/0.54 cnf(c33, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a10])], [c9, c32])). % 1.05/0.54 cnf(c34, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a10])], [c9, c32])). % 1.05/0.54 % 1.05/0.54 cnf(c35, axiom, % 1.05/0.54 axiom(or(not(or(not(X26),X27)),or(not(or(X28,X26)),or(X28,X27))))). % 1.05/0.54 cnf(a11, assumption, % 1.05/0.54 or(not(X2),X0) = or(not(or(not(X26),X27)),or(not(or(X28,X26)),or(X28,X27)))). % 1.05/0.54 cnf(c36, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a11])], [c6, c35])). % 1.05/0.54 cnf(c37, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(strict_predicate_extension, [assumptions([a11])], [c6, c35])). % 1.05/0.54 % 1.05/0.54 cnf(c38, plain, % 1.05/0.54 $false, % 1.05/0.54 inference(constraint_solving, [ % 1.05/0.54 bind(X0, or(X17,X15)), % 1.05/0.54 bind(X1, or(not(or(q,p)),or(r,p))), % 1.05/0.54 bind(X2, or(not(q),r)), % 1.05/0.54 bind(X3, or(not(X7),X6)), % 1.05/0.54 bind(X4, or(not(X0),X1)), % 1.05/0.54 bind(X5, or(X22,X21)), % 1.05/0.54 bind(X6, or(X18,X20)), % 1.05/0.54 bind(X7, or(X21,X22)), % 1.05/0.54 bind(X8, or(not(or(X17,X15)),or(X17,X16))), % 1.05/0.54 bind(X9, or(not(X5),X6)), % 1.05/0.54 bind(X10, or(not(or(X13,X14)),or(X14,X13))), % 1.05/0.54 bind(X11, or(not(or(X17,X15)),or(X17,X16))), % 1.05/0.54 bind(X12, or(not(or(X13,X14)),or(X14,X13))), % 1.05/0.54 bind(X13, p), % 1.05/0.54 bind(X14, r), % 1.05/0.54 bind(X15, or(X13,X14)), % 1.05/0.54 bind(X16, or(X14,X13)), % 1.05/0.54 bind(X17, not(X5)), % 1.05/0.54 bind(X18, not(or(X17,X15))), % 1.05/0.54 bind(X19, not(X5)), % 1.05/0.54 bind(X20, or(X14,X13)), % 1.05/0.54 bind(X21, q), % 1.05/0.54 bind(X22, p), % 1.05/0.54 bind(X23, not(X7)), % 1.05/0.54 bind(X24, not(or(X17,X15))), % 1.05/0.54 bind(X25, or(X14,X13)), % 1.05/0.54 bind(X26, q), % 1.05/0.54 bind(X27, r), % 1.05/0.54 bind(X28, p) % 1.05/0.54 ], % 1.05/0.54 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 1.05/0.54 % 1.05/0.54 % SZS output end IncompleteProof %------------------------------------------------------------------------------