%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL230-1 : 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 : n031.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 12:28:22 PM UTC 2026 % Result : Unsatisfiable 4.32s 0.96s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL230-1 : TPTP v9.3.1. Released v1.1.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.35 % Computer : n031.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Fri Sep 4 14:44:39 UTC 2026 % 0.09/0.35 % CPUTime : % 4.32/0.96 % SZS status Unsatisfiable % 4.32/0.96 % SZS output begin IncompleteProof % 4.32/0.96 cnf(c0, axiom, % 4.32/0.96 ~theorem(or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r))))). % 4.32/0.96 cnf(c1, plain, % 4.32/0.96 ~theorem(or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r)))), % 4.32/0.96 inference(start, [], [c0])). % 4.32/0.96 % 4.32/0.96 cnf(c2, axiom, % 4.32/0.96 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)) | theorem(or(not(X2),X1))). % 4.32/0.96 cnf(a0, assumption, % 4.32/0.96 or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r))) = or(not(X2),X1)). % 4.32/0.96 cnf(c3, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 4.32/0.96 cnf(c4, plain, % 4.32/0.96 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 4.32/0.96 % 4.32/0.96 cnf(c5, axiom, % 4.32/0.96 ~theorem(X3) | ~axiom(or(not(X3),X4)) | theorem(X4)). % 4.32/0.96 cnf(a1, assumption, % 4.32/0.96 or(not(X0),X1) = X4). % 4.32/0.96 cnf(c6, plain, % 4.32/0.96 ~axiom(or(not(X2),X0)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 4.32/0.96 cnf(c7, plain, % 4.32/0.96 ~theorem(X3) | ~axiom(or(not(X3),X4)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 4.32/0.96 % 4.32/0.96 cnf(c8, axiom, % 4.32/0.96 ~theorem(X5) | ~axiom(or(not(X5),X6)) | theorem(X6)). % 4.32/0.96 cnf(a2, assumption, % 4.32/0.96 X3 = X6). % 4.32/0.96 cnf(c9, plain, % 4.32/0.96 ~axiom(or(not(X3),X4)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 4.32/0.96 cnf(c10, plain, % 4.32/0.96 ~theorem(X5) | ~axiom(or(not(X5),X6)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 4.32/0.96 % 4.32/0.96 cnf(c11, axiom, % 4.32/0.96 ~theorem(or(not(X7),X8)) | ~axiom(or(not(X9),X7)) | theorem(or(not(X9),X8))). % 4.32/0.96 cnf(a3, assumption, % 4.32/0.96 X5 = or(not(X9),X8)). % 4.32/0.96 cnf(c12, plain, % 4.32/0.96 ~axiom(or(not(X5),X6)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 4.32/0.96 cnf(c13, plain, % 4.32/0.96 ~theorem(or(not(X7),X8)) | ~axiom(or(not(X9),X7)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 4.32/0.96 % 4.32/0.96 cnf(c14, axiom, % 4.32/0.96 ~theorem(X10) | ~axiom(or(not(X10),X11)) | theorem(X11)). % 4.32/0.96 cnf(a4, assumption, % 4.32/0.96 or(not(X7),X8) = X11). % 4.32/0.96 cnf(c15, plain, % 4.32/0.96 ~axiom(or(not(X9),X7)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 4.32/0.96 cnf(c16, plain, % 4.32/0.96 ~theorem(X10) | ~axiom(or(not(X10),X11)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 4.32/0.96 % 4.32/0.96 cnf(c17, axiom, % 4.32/0.96 ~theorem(or(not(X12),X13)) | ~axiom(or(not(X14),X12)) | theorem(or(not(X14),X13))). % 4.32/0.96 cnf(a5, assumption, % 4.32/0.96 X10 = or(not(X14),X13)). % 4.32/0.96 cnf(c18, plain, % 4.32/0.96 ~axiom(or(not(X10),X11)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 4.32/0.96 cnf(c19, plain, % 4.32/0.96 ~theorem(or(not(X12),X13)) | ~axiom(or(not(X14),X12)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 4.32/0.96 % 4.32/0.96 cnf(c20, axiom, % 4.32/0.96 ~axiom(X15) | theorem(X15)). % 4.32/0.96 cnf(a6, assumption, % 4.32/0.96 or(not(X12),X13) = X15). % 4.32/0.96 cnf(c21, plain, % 4.32/0.96 ~axiom(or(not(X14),X12)), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 4.32/0.96 cnf(c22, plain, % 4.32/0.96 ~axiom(X15), % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 4.32/0.96 % 4.32/0.96 cnf(c23, axiom, % 4.32/0.96 axiom(or(not(or(X16,X16)),X16))). % 4.32/0.96 cnf(a7, assumption, % 4.32/0.96 X15 = or(not(or(X16,X16)),X16)). % 4.32/0.96 cnf(c24, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 4.32/0.96 cnf(c25, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 4.32/0.96 % 4.32/0.96 cnf(c26, axiom, % 4.32/0.96 axiom(or(not(X17),or(X18,X17)))). % 4.32/0.96 cnf(a8, assumption, % 4.32/0.96 or(not(X14),X12) = or(not(X17),or(X18,X17))). % 4.32/0.96 cnf(c27, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a8])], [c21, c26])). % 4.32/0.96 cnf(c28, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a8])], [c21, c26])). % 4.32/0.96 % 4.32/0.96 cnf(c29, axiom, % 4.32/0.96 axiom(or(not(or(X19,or(X20,X21))),or(X20,or(X19,X21))))). % 4.32/0.96 cnf(a9, assumption, % 4.32/0.96 or(not(X10),X11) = or(not(or(X19,or(X20,X21))),or(X20,or(X19,X21)))). % 4.32/0.96 cnf(c30, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a9])], [c18, c29])). % 4.32/0.96 cnf(c31, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a9])], [c18, c29])). % 4.32/0.96 % 4.32/0.96 cnf(c32, axiom, % 4.32/0.96 axiom(or(not(X22),or(X23,X22)))). % 4.32/0.96 cnf(a10, assumption, % 4.32/0.96 or(not(X9),X7) = or(not(X22),or(X23,X22))). % 4.32/0.96 cnf(c33, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a10])], [c15, c32])). % 4.32/0.96 cnf(c34, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a10])], [c15, c32])). % 4.32/0.96 % 4.32/0.96 cnf(c35, axiom, % 4.32/0.96 axiom(or(not(or(X24,or(X25,X26))),or(X25,or(X24,X26))))). % 4.32/0.96 cnf(a11, assumption, % 4.32/0.96 or(not(X5),X6) = or(not(or(X24,or(X25,X26))),or(X25,or(X24,X26)))). % 4.32/0.96 cnf(c36, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a11])], [c12, c35])). % 4.32/0.96 cnf(c37, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a11])], [c12, c35])). % 4.32/0.96 % 4.32/0.96 cnf(c38, axiom, % 4.32/0.96 axiom(or(not(or(not(X27),X28)),or(not(or(X29,X27)),or(X29,X28))))). % 4.32/0.96 cnf(a12, assumption, % 4.32/0.96 or(not(X3),X4) = or(not(or(not(X27),X28)),or(not(or(X29,X27)),or(X29,X28)))). % 4.32/0.96 cnf(c39, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a12])], [c9, c38])). % 4.32/0.96 cnf(c40, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a12])], [c9, c38])). % 4.32/0.96 % 4.32/0.96 cnf(c41, axiom, % 4.32/0.96 axiom(or(not(or(X30,or(X31,X32))),or(X31,or(X30,X32))))). % 4.32/0.96 cnf(a13, assumption, % 4.32/0.96 or(not(X2),X0) = or(not(or(X30,or(X31,X32))),or(X31,or(X30,X32)))). % 4.32/0.96 cnf(c42, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a13])], [c6, c41])). % 4.32/0.96 cnf(c43, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(strict_predicate_extension, [assumptions([a13])], [c6, c41])). % 4.32/0.96 % 4.32/0.96 cnf(c44, plain, % 4.32/0.96 $false, % 4.32/0.96 inference(constraint_solving, [ % 4.32/0.96 bind(X0, or(X29,X27)), % 4.32/0.96 bind(X1, or(p,or(not(q),r))), % 4.32/0.96 bind(X2, or(not(or(p,q)),or(p,r))), % 4.32/0.96 bind(X3, or(X25,or(X24,X26))), % 4.32/0.96 bind(X4, or(not(X0),X1)), % 4.32/0.96 bind(X5, or(not(X9),X8)), % 4.32/0.96 bind(X6, or(X25,or(X24,X26))), % 4.32/0.96 bind(X7, or(X23,X22)), % 4.32/0.96 bind(X8, or(X19,X21)), % 4.32/0.96 bind(X9, q), % 4.32/0.96 bind(X10, or(not(X14),X13)), % 4.32/0.96 bind(X11, or(not(X7),X8)), % 4.32/0.96 bind(X12, or(X16,X16)), % 4.32/0.96 bind(X13, or(X20,X21)), % 4.32/0.96 bind(X14, or(X20,X21)), % 4.32/0.96 bind(X15, or(not(X12),X13)), % 4.32/0.96 bind(X16, or(X20,X21)), % 4.32/0.96 bind(X17, or(X20,X21)), % 4.32/0.96 bind(X18, or(X20,X21)), % 4.32/0.96 bind(X19, not(X14)), % 4.32/0.96 bind(X20, not(X7)), % 4.32/0.96 bind(X21, r), % 4.32/0.96 bind(X22, q), % 4.32/0.96 bind(X23, p), % 4.32/0.96 bind(X24, not(X9)), % 4.32/0.96 bind(X25, not(X14)), % 4.32/0.96 bind(X26, r), % 4.32/0.96 bind(X27, or(X20,X21)), % 4.32/0.96 bind(X28, or(X24,X26)), % 4.32/0.96 bind(X29, p), % 4.32/0.96 bind(X30, not(or(p,q))), % 4.32/0.96 bind(X31, p), % 4.32/0.96 bind(X32, r) % 4.32/0.96 ], % 4.32/0.96 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])). % 4.32/0.96 % 4.32/0.96 % SZS output end IncompleteProof %------------------------------------------------------------------------------