%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL322-3 : 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 : n008.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 12:28:30 PM UTC 2026 % Result : Unsatisfiable 46.32s 6.23s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL322-3 : 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 % 0.08/0.35 % Computer : n008.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 17:43:08 UTC 2026 % 0.08/0.35 % CPUTime : % 46.32/6.23 % SZS status Unsatisfiable % 46.32/6.23 % SZS output begin IncompleteProof % 46.32/6.23 cnf(c0, axiom, % 46.32/6.23 ~theorem(or(or(not(p),q),or(not(q),p)))). % 46.32/6.23 cnf(c1, plain, % 46.32/6.23 ~theorem(or(or(not(p),q),or(not(q),p))), % 46.32/6.23 inference(start, [], [c0])). % 46.32/6.23 % 46.32/6.23 cnf(c2, axiom, % 46.32/6.23 ~theorem(X0) | ~theorem(or(not(X0),X1)) | theorem(X1)). % 46.32/6.23 cnf(a0, assumption, % 46.32/6.23 or(or(not(p),q),or(not(q),p)) = X1). % 46.32/6.23 cnf(c3, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 46.32/6.23 cnf(c4, plain, % 46.32/6.23 ~theorem(X0) | ~theorem(or(not(X0),X1)), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 46.32/6.23 % 46.32/6.23 cnf(c5, axiom, % 46.32/6.23 ~theorem(X2) | ~theorem(or(not(X2),X3)) | theorem(X3)). % 46.32/6.23 cnf(a1, assumption, % 46.32/6.23 X0 = X3). % 46.32/6.23 cnf(c6, plain, % 46.32/6.23 ~theorem(or(not(X0),X1)), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 46.32/6.23 cnf(c7, plain, % 46.32/6.23 ~theorem(X2) | ~theorem(or(not(X2),X3)), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 46.32/6.23 % 46.32/6.23 cnf(c8, axiom, % 46.32/6.23 ~axiom(X4) | theorem(X4)). % 46.32/6.23 cnf(a2, assumption, % 46.32/6.23 X2 = X4). % 46.32/6.23 cnf(c9, plain, % 46.32/6.23 ~theorem(or(not(X2),X3)), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 46.32/6.23 cnf(c10, plain, % 46.32/6.23 ~axiom(X4), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 46.32/6.23 % 46.32/6.23 cnf(c11, axiom, % 46.32/6.23 axiom(or(not(X5),or(X6,X5)))). % 46.32/6.23 cnf(a3, assumption, % 46.32/6.23 X4 = or(not(X5),or(X6,X5))). % 46.32/6.23 cnf(c12, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 46.32/6.23 cnf(c13, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 46.32/6.23 % 46.32/6.23 cnf(c14, axiom, % 46.32/6.23 ~theorem(X7) | ~theorem(or(not(X7),X8)) | theorem(X8)). % 46.32/6.23 cnf(a4, assumption, % 46.32/6.23 or(not(X2),X3) = X8). % 46.32/6.23 cnf(c15, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a4])], [c9, c14])). % 46.32/6.23 cnf(c16, plain, % 46.32/6.23 ~theorem(X7) | ~theorem(or(not(X7),X8)), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a4])], [c9, c14])). % 46.32/6.23 % 46.32/6.23 cnf(c17, axiom, % 46.32/6.23 ~theorem(X9) | ~theorem(or(not(X9),X10)) | theorem(X10)). % 46.32/6.23 cnf(a5, assumption, % 46.32/6.23 X7 = X10). % 46.32/6.23 cnf(c18, plain, % 46.32/6.23 ~theorem(or(not(X7),X8)), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 46.32/6.23 cnf(c19, plain, % 46.32/6.23 ~theorem(X9) | ~theorem(or(not(X9),X10)), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 46.32/6.23 % 46.32/6.23 cnf(c20, axiom, % 46.32/6.23 ~axiom(X11) | theorem(X11)). % 46.32/6.23 cnf(a6, assumption, % 46.32/6.23 X9 = X11). % 46.32/6.23 cnf(c21, plain, % 46.32/6.23 ~theorem(or(not(X9),X10)), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 46.32/6.23 cnf(c22, plain, % 46.32/6.23 ~axiom(X11), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 46.32/6.23 % 46.32/6.23 cnf(c23, axiom, % 46.32/6.23 axiom(or(not(X12),or(X13,X12)))). % 46.32/6.23 cnf(a7, assumption, % 46.32/6.23 X11 = or(not(X12),or(X13,X12))). % 46.32/6.23 cnf(c24, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 46.32/6.23 cnf(c25, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 46.32/6.23 % 46.32/6.23 cnf(c26, axiom, % 46.32/6.23 ~theorem(X14) | ~theorem(or(not(X14),X15)) | theorem(X15)). % 46.32/6.23 cnf(a8, assumption, % 46.32/6.23 or(not(X9),X10) = X15). % 46.32/6.23 cnf(c27, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a8])], [c21, c26])). % 46.32/6.23 cnf(c28, plain, % 46.32/6.23 ~theorem(X14) | ~theorem(or(not(X14),X15)), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a8])], [c21, c26])). % 46.32/6.23 % 46.32/6.23 cnf(c29, axiom, % 46.32/6.23 ~axiom(X16) | theorem(X16)). % 46.32/6.23 cnf(a9, assumption, % 46.32/6.23 X14 = X16). % 46.32/6.23 cnf(c30, plain, % 46.32/6.23 ~theorem(or(not(X14),X15)), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 46.32/6.23 cnf(c31, plain, % 46.32/6.23 ~axiom(X16), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 46.32/6.23 % 46.32/6.23 cnf(c32, axiom, % 46.32/6.23 axiom(or(not(or(X17,X18)),or(X18,X17)))). % 46.32/6.23 cnf(a10, assumption, % 46.32/6.23 X16 = or(not(or(X17,X18)),or(X18,X17))). % 46.32/6.23 cnf(c33, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])). % 46.32/6.23 cnf(c34, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])). % 46.32/6.23 % 46.32/6.23 cnf(c35, axiom, % 46.32/6.23 ~axiom(X19) | theorem(X19)). % 46.32/6.23 cnf(a11, assumption, % 46.32/6.23 or(not(X14),X15) = X19). % 46.32/6.23 cnf(c36, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a11])], [c30, c35])). % 46.32/6.23 cnf(c37, plain, % 46.32/6.23 ~axiom(X19), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a11])], [c30, c35])). % 46.32/6.23 % 46.32/6.23 cnf(c38, axiom, % 46.32/6.23 axiom(or(not(or(not(X20),X21)),or(not(or(X22,X20)),or(X22,X21))))). % 46.32/6.23 cnf(a12, assumption, % 46.32/6.23 X19 = or(not(or(not(X20),X21)),or(not(or(X22,X20)),or(X22,X21)))). % 46.32/6.23 cnf(c39, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a12])], [c37, c38])). % 46.32/6.23 cnf(c40, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a12])], [c37, c38])). % 46.32/6.23 % 46.32/6.23 cnf(c41, axiom, % 46.32/6.23 ~axiom(X23) | theorem(X23)). % 46.32/6.23 cnf(a13, assumption, % 46.32/6.23 or(not(X7),X8) = X23). % 46.32/6.23 cnf(c42, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a13])], [c18, c41])). % 46.32/6.23 cnf(c43, plain, % 46.32/6.23 ~axiom(X23), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a13])], [c18, c41])). % 46.32/6.23 % 46.32/6.23 cnf(c44, axiom, % 46.32/6.23 axiom(or(not(or(not(X24),X25)),or(not(or(X26,X24)),or(X26,X25))))). % 46.32/6.23 cnf(a14, assumption, % 46.32/6.23 X23 = or(not(or(not(X24),X25)),or(not(or(X26,X24)),or(X26,X25)))). % 46.32/6.23 cnf(c45, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a14])], [c43, c44])). % 46.32/6.23 cnf(c46, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a14])], [c43, c44])). % 46.32/6.23 % 46.32/6.23 cnf(c47, axiom, % 46.32/6.23 ~axiom(X27) | theorem(X27)). % 46.32/6.23 cnf(a15, assumption, % 46.32/6.23 or(not(X0),X1) = X27). % 46.32/6.23 cnf(c48, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a15])], [c6, c47])). % 46.32/6.23 cnf(c49, plain, % 46.32/6.23 ~axiom(X27), % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a15])], [c6, c47])). % 46.32/6.23 % 46.32/6.23 cnf(c50, axiom, % 46.32/6.23 axiom(or(not(or(X28,or(X29,X30))),or(X29,or(X28,X30))))). % 46.32/6.23 cnf(a16, assumption, % 46.32/6.23 X27 = or(not(or(X28,or(X29,X30))),or(X29,or(X28,X30)))). % 46.32/6.23 cnf(c51, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a16])], [c49, c50])). % 46.32/6.23 cnf(c52, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(strict_predicate_extension, [assumptions([a16])], [c49, c50])). % 46.32/6.23 % 46.32/6.23 cnf(c53, plain, % 46.32/6.23 $false, % 46.32/6.23 inference(constraint_solving, [ % 46.32/6.23 bind(X0, or(X26,X25)), % 46.32/6.23 bind(X1, or(or(not(p),q),or(not(q),p))), % 46.32/6.23 bind(X2, or(not(X5),or(X6,X5))), % 46.32/6.23 bind(X3, or(X26,X25)), % 46.32/6.23 bind(X4, or(not(X5),or(X6,X5))), % 46.32/6.23 bind(X5, q), % 46.32/6.23 bind(X6, not(p)), % 46.32/6.23 bind(X7, or(X22,X21)), % 46.32/6.23 bind(X8, or(not(X2),X3)), % 46.32/6.23 bind(X9, or(not(X12),or(X13,X12))), % 46.32/6.23 bind(X10, or(X22,X21)), % 46.32/6.23 bind(X11, or(not(X12),or(X13,X12))), % 46.32/6.23 bind(X12, or(X6,X5)), % 46.32/6.23 bind(X13, p), % 46.32/6.23 bind(X14, or(not(or(X17,X18)),or(X18,X17))), % 46.32/6.23 bind(X15, or(not(X9),X10)), % 46.32/6.23 bind(X16, or(not(or(X17,X18)),or(X18,X17))), % 46.32/6.23 bind(X17, p), % 46.32/6.23 bind(X18, or(X6,X5)), % 46.32/6.23 bind(X19, or(not(X14),X15)), % 46.32/6.23 bind(X20, or(X17,X18)), % 46.32/6.23 bind(X21, or(X18,X17)), % 46.32/6.23 bind(X22, not(X12)), % 46.32/6.23 bind(X23, or(not(X7),X8)), % 46.32/6.23 bind(X24, or(X6,X5)), % 46.32/6.23 bind(X25, or(X18,X17)), % 46.32/6.23 bind(X26, not(X5)), % 46.32/6.23 bind(X27, or(not(X0),X1)), % 46.32/6.23 bind(X28, not(X5)), % 46.32/6.23 bind(X29, or(X6,X5)), % 46.32/6.23 bind(X30, p) % 46.32/6.23 ], % 46.32/6.23 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])). % 46.32/6.23 % 46.32/6.23 % SZS output end IncompleteProof %------------------------------------------------------------------------------