%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL323-3 : 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 : 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 12:28:30 PM UTC 2026 % Result : Unsatisfiable 72.80s 9.70s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : LCL323-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.06 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.15/0.40 % Computer : n006.cluster.edu % 0.15/0.40 % Model : x86_64 x86_64 % 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.40 % Memory : 8046.5625MB % 0.15/0.40 % OS : Linux 6.8.0-71-generic % 0.15/0.40 % CPULimit : 300 % 0.15/0.40 % WCLimit : 300 % 0.15/0.40 % DateTime : Sun Sep 6 02:07:31 UTC 2026 % 0.15/0.40 % CPUTime : % 72.80/9.70 % SZS status Unsatisfiable % 72.80/9.70 % SZS output begin IncompleteProof % 72.80/9.70 cnf(c0, axiom, % 72.80/9.70 ~theorem(or(or(not(p),q),or(not(q),r)))). % 72.80/9.70 cnf(c1, plain, % 72.80/9.70 ~theorem(or(or(not(p),q),or(not(q),r))), % 72.80/9.70 inference(start, [], [c0])). % 72.80/9.70 % 72.80/9.70 cnf(c2, axiom, % 72.80/9.70 ~theorem(X0) | ~theorem(or(not(X0),X1)) | theorem(X1)). % 72.80/9.70 cnf(a0, assumption, % 72.80/9.70 or(or(not(p),q),or(not(q),r)) = X1). % 72.80/9.70 cnf(c3, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 72.80/9.70 cnf(c4, plain, % 72.80/9.70 ~theorem(X0) | ~theorem(or(not(X0),X1)), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 72.80/9.70 % 72.80/9.70 cnf(c5, axiom, % 72.80/9.70 ~theorem(X2) | ~theorem(or(not(X2),X3)) | theorem(X3)). % 72.80/9.70 cnf(a1, assumption, % 72.80/9.70 X0 = X3). % 72.80/9.70 cnf(c6, plain, % 72.80/9.70 ~theorem(or(not(X0),X1)), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 72.80/9.70 cnf(c7, plain, % 72.80/9.70 ~theorem(X2) | ~theorem(or(not(X2),X3)), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 72.80/9.70 % 72.80/9.70 cnf(c8, axiom, % 72.80/9.70 ~theorem(X4) | ~theorem(or(not(X4),X5)) | theorem(X5)). % 72.80/9.70 cnf(a2, assumption, % 72.80/9.70 X2 = X5). % 72.80/9.70 cnf(c9, plain, % 72.80/9.70 ~theorem(or(not(X2),X3)), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 72.80/9.70 cnf(c10, plain, % 72.80/9.70 ~theorem(X4) | ~theorem(or(not(X4),X5)), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 72.80/9.70 % 72.80/9.70 cnf(c11, axiom, % 72.80/9.70 ~theorem(X6) | ~theorem(or(not(X6),X7)) | theorem(X7)). % 72.80/9.70 cnf(a3, assumption, % 72.80/9.70 X4 = X7). % 72.80/9.70 cnf(c12, plain, % 72.80/9.70 ~theorem(or(not(X4),X5)), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 72.80/9.70 cnf(c13, plain, % 72.80/9.70 ~theorem(X6) | ~theorem(or(not(X6),X7)), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 72.80/9.70 % 72.80/9.70 cnf(c14, axiom, % 72.80/9.70 ~axiom(X8) | theorem(X8)). % 72.80/9.70 cnf(a4, assumption, % 72.80/9.70 X6 = X8). % 72.80/9.70 cnf(c15, plain, % 72.80/9.70 ~theorem(or(not(X6),X7)), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 72.80/9.70 cnf(c16, plain, % 72.80/9.70 ~axiom(X8), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 72.80/9.70 % 72.80/9.70 cnf(c17, axiom, % 72.80/9.70 axiom(or(not(X9),or(X10,X9)))). % 72.80/9.70 cnf(a5, assumption, % 72.80/9.70 X8 = or(not(X9),or(X10,X9))). % 72.80/9.70 cnf(c18, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 72.80/9.70 cnf(c19, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 72.80/9.70 % 72.80/9.70 cnf(c20, axiom, % 72.80/9.70 ~axiom(X11) | theorem(X11)). % 72.80/9.70 cnf(a6, assumption, % 72.80/9.70 or(not(X6),X7) = X11). % 72.80/9.70 cnf(c21, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a6])], [c15, c20])). % 72.80/9.70 cnf(c22, plain, % 72.80/9.70 ~axiom(X11), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a6])], [c15, c20])). % 72.80/9.70 % 72.80/9.70 cnf(c23, axiom, % 72.80/9.70 axiom(or(not(or(X12,X13)),or(X13,X12)))). % 72.80/9.70 cnf(a7, assumption, % 72.80/9.70 X11 = or(not(or(X12,X13)),or(X13,X12))). % 72.80/9.70 cnf(c24, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 72.80/9.70 cnf(c25, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 72.80/9.70 % 72.80/9.70 cnf(c26, axiom, % 72.80/9.70 ~axiom(X14) | theorem(X14)). % 72.80/9.70 cnf(a8, assumption, % 72.80/9.70 or(not(X4),X5) = X14). % 72.80/9.70 cnf(c27, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a8])], [c12, c26])). % 72.80/9.70 cnf(c28, plain, % 72.80/9.70 ~axiom(X14), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a8])], [c12, c26])). % 72.80/9.70 % 72.80/9.70 cnf(c29, axiom, % 72.80/9.70 axiom(or(not(X15),or(X16,X15)))). % 72.80/9.70 cnf(a9, assumption, % 72.80/9.70 X14 = or(not(X15),or(X16,X15))). % 72.80/9.70 cnf(c30, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 72.80/9.70 cnf(c31, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 72.80/9.70 % 72.80/9.70 cnf(c32, axiom, % 72.80/9.70 ~axiom(X17) | theorem(X17)). % 72.80/9.70 cnf(a10, assumption, % 72.80/9.70 or(not(X2),X3) = X17). % 72.80/9.70 cnf(c33, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a10])], [c9, c32])). % 72.80/9.70 cnf(c34, plain, % 72.80/9.70 ~axiom(X17), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a10])], [c9, c32])). % 72.80/9.70 % 72.80/9.70 cnf(c35, axiom, % 72.80/9.70 axiom(or(not(or(X18,or(X19,X20))),or(X19,or(X18,X20))))). % 72.80/9.70 cnf(a11, assumption, % 72.80/9.70 X17 = or(not(or(X18,or(X19,X20))),or(X19,or(X18,X20)))). % 72.80/9.70 cnf(c36, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a11])], [c34, c35])). % 72.80/9.70 cnf(c37, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a11])], [c34, c35])). % 72.80/9.70 % 72.80/9.70 cnf(c38, axiom, % 72.80/9.70 ~theorem(X21) | ~theorem(or(not(X21),X22)) | theorem(X22)). % 72.80/9.70 cnf(a12, assumption, % 72.80/9.70 or(not(X0),X1) = X22). % 72.80/9.70 cnf(c39, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a12])], [c6, c38])). % 72.80/9.70 cnf(c40, plain, % 72.80/9.70 ~theorem(X21) | ~theorem(or(not(X21),X22)), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a12])], [c6, c38])). % 72.80/9.70 % 72.80/9.70 cnf(c41, axiom, % 72.80/9.70 ~axiom(X23) | theorem(X23)). % 72.80/9.70 cnf(a13, assumption, % 72.80/9.70 X21 = X23). % 72.80/9.70 cnf(c42, plain, % 72.80/9.70 ~theorem(or(not(X21),X22)), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a13])], [c40, c41])). % 72.80/9.70 cnf(c43, plain, % 72.80/9.70 ~axiom(X23), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a13])], [c40, c41])). % 72.80/9.70 % 72.80/9.70 cnf(c44, axiom, % 72.80/9.70 axiom(or(not(or(X24,X25)),or(X25,X24)))). % 72.80/9.70 cnf(a14, assumption, % 72.80/9.70 X23 = or(not(or(X24,X25)),or(X25,X24))). % 72.80/9.70 cnf(c45, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a14])], [c43, c44])). % 72.80/9.70 cnf(c46, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a14])], [c43, c44])). % 72.80/9.70 % 72.80/9.70 cnf(c47, axiom, % 72.80/9.70 ~axiom(X26) | theorem(X26)). % 72.80/9.70 cnf(a15, assumption, % 72.80/9.70 or(not(X21),X22) = X26). % 72.80/9.70 cnf(c48, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a15])], [c42, c47])). % 72.80/9.70 cnf(c49, plain, % 72.80/9.70 ~axiom(X26), % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a15])], [c42, c47])). % 72.80/9.70 % 72.80/9.70 cnf(c50, axiom, % 72.80/9.70 axiom(or(not(or(not(X27),X28)),or(not(or(X29,X27)),or(X29,X28))))). % 72.80/9.70 cnf(a16, assumption, % 72.80/9.70 X26 = or(not(or(not(X27),X28)),or(not(or(X29,X27)),or(X29,X28)))). % 72.80/9.70 cnf(c51, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a16])], [c49, c50])). % 72.80/9.70 cnf(c52, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(strict_predicate_extension, [assumptions([a16])], [c49, c50])). % 72.80/9.70 % 72.80/9.70 cnf(c53, plain, % 72.80/9.70 $false, % 72.80/9.70 inference(constraint_solving, [ % 72.80/9.70 bind(X0, or(X19,or(X18,X20))), % 72.80/9.70 bind(X1, or(or(not(p),q),or(not(q),r))), % 72.80/9.70 bind(X2, or(X16,X15)), % 72.80/9.70 bind(X3, or(X19,or(X18,X20))), % 72.80/9.70 bind(X4, or(X13,X12)), % 72.80/9.70 bind(X5, or(X16,X15)), % 72.80/9.70 bind(X6, or(not(X9),or(X10,X9))), % 72.80/9.70 bind(X7, or(X13,X12)), % 72.80/9.70 bind(X8, or(not(X9),or(X10,X9))), % 72.80/9.70 bind(X9, q), % 72.80/9.70 bind(X10, not(p)), % 72.80/9.70 bind(X11, or(not(X6),X7)), % 72.80/9.70 bind(X12, not(X9)), % 72.80/9.70 bind(X13, or(X10,X9)), % 72.80/9.70 bind(X14, or(not(X4),X5)), % 72.80/9.70 bind(X15, or(X13,X12)), % 72.80/9.70 bind(X16, r), % 72.80/9.70 bind(X17, or(not(X2),X3)), % 72.80/9.70 bind(X18, r), % 72.80/9.70 bind(X19, or(X10,X9)), % 72.80/9.70 bind(X20, not(X9)), % 72.80/9.70 bind(X21, or(not(or(X24,X25)),or(X25,X24))), % 72.80/9.70 bind(X22, or(not(X0),X1)), % 72.80/9.70 bind(X23, or(not(or(X24,X25)),or(X25,X24))), % 72.80/9.70 bind(X24, r), % 72.80/9.70 bind(X25, not(X9)), % 72.80/9.70 bind(X26, or(not(X21),X22)), % 72.80/9.70 bind(X27, or(X24,X25)), % 72.80/9.70 bind(X28, or(X25,X24)), % 72.80/9.70 bind(X29, or(X10,X9)) % 72.80/9.70 ], % 72.80/9.70 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])). % 72.80/9.70 % 72.80/9.70 % SZS output end IncompleteProof %------------------------------------------------------------------------------