%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL192-3 : 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 : n013.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 12:28:17 PM UTC 2026 % Result : Unsatisfiable 82.94s 10.83s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL192-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.07/0.34 % Computer : n013.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Sat Sep 5 01:18:04 UTC 2026 % 0.07/0.35 % CPUTime : % 82.94/10.83 % SZS status Unsatisfiable % 82.94/10.83 % SZS output begin IncompleteProof % 82.94/10.83 cnf(c0, axiom, % 82.94/10.83 ~theorem(or(not(or(or(p,q),r)),or(p,or(q,r))))). % 82.94/10.83 cnf(c1, plain, % 82.94/10.83 ~theorem(or(not(or(or(p,q),r)),or(p,or(q,r)))), % 82.94/10.83 inference(start, [], [c0])). % 82.94/10.83 % 82.94/10.83 cnf(c2, axiom, % 82.94/10.83 ~theorem(X0) | ~theorem(or(not(X0),X1)) | theorem(X1)). % 82.94/10.83 cnf(a0, assumption, % 82.94/10.83 or(not(or(or(p,q),r)),or(p,or(q,r))) = X1). % 82.94/10.83 cnf(c3, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 82.94/10.83 cnf(c4, plain, % 82.94/10.83 ~theorem(X0) | ~theorem(or(not(X0),X1)), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 82.94/10.83 % 82.94/10.83 cnf(c5, axiom, % 82.94/10.83 ~axiom(X2) | theorem(X2)). % 82.94/10.83 cnf(a1, assumption, % 82.94/10.83 X0 = X2). % 82.94/10.83 cnf(c6, plain, % 82.94/10.83 ~theorem(or(not(X0),X1)), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 82.94/10.83 cnf(c7, plain, % 82.94/10.83 ~axiom(X2), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 82.94/10.83 % 82.94/10.83 cnf(c8, axiom, % 82.94/10.83 axiom(or(not(or(X3,X4)),or(X4,X3)))). % 82.94/10.83 cnf(a2, assumption, % 82.94/10.83 X2 = or(not(or(X3,X4)),or(X4,X3))). % 82.94/10.83 cnf(c9, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 82.94/10.83 cnf(c10, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 82.94/10.83 % 82.94/10.83 cnf(c11, axiom, % 82.94/10.83 ~theorem(X5) | ~theorem(or(not(X5),X6)) | theorem(X6)). % 82.94/10.83 cnf(a3, assumption, % 82.94/10.83 or(not(X0),X1) = X6). % 82.94/10.83 cnf(c12, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a3])], [c6, c11])). % 82.94/10.83 cnf(c13, plain, % 82.94/10.83 ~theorem(X5) | ~theorem(or(not(X5),X6)), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a3])], [c6, c11])). % 82.94/10.83 % 82.94/10.83 cnf(c14, axiom, % 82.94/10.83 ~theorem(X7) | ~theorem(or(not(X7),X8)) | theorem(X8)). % 82.94/10.83 cnf(a4, assumption, % 82.94/10.83 X5 = X8). % 82.94/10.83 cnf(c15, plain, % 82.94/10.83 ~theorem(or(not(X5),X6)), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 82.94/10.83 cnf(c16, plain, % 82.94/10.83 ~theorem(X7) | ~theorem(or(not(X7),X8)), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 82.94/10.83 % 82.94/10.83 cnf(c17, axiom, % 82.94/10.83 ~axiom(X9) | theorem(X9)). % 82.94/10.83 cnf(a5, assumption, % 82.94/10.83 X7 = X9). % 82.94/10.83 cnf(c18, plain, % 82.94/10.83 ~theorem(or(not(X7),X8)), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 82.94/10.83 cnf(c19, plain, % 82.94/10.83 ~axiom(X9), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 82.94/10.83 % 82.94/10.83 cnf(c20, axiom, % 82.94/10.83 axiom(or(not(or(X10,or(X11,X12))),or(X11,or(X10,X12))))). % 82.94/10.83 cnf(a6, assumption, % 82.94/10.83 X9 = or(not(or(X10,or(X11,X12))),or(X11,or(X10,X12)))). % 82.94/10.83 cnf(c21, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 82.94/10.83 cnf(c22, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 82.94/10.83 % 82.94/10.83 cnf(c23, axiom, % 82.94/10.83 ~theorem(X13) | ~theorem(or(not(X13),X14)) | theorem(X14)). % 82.94/10.83 cnf(a7, assumption, % 82.94/10.83 or(not(X7),X8) = X14). % 82.94/10.83 cnf(c24, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a7])], [c18, c23])). % 82.94/10.83 cnf(c25, plain, % 82.94/10.83 ~theorem(X13) | ~theorem(or(not(X13),X14)), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a7])], [c18, c23])). % 82.94/10.83 % 82.94/10.83 cnf(c26, axiom, % 82.94/10.83 ~theorem(X15) | ~theorem(or(not(X15),X16)) | theorem(X16)). % 82.94/10.83 cnf(a8, assumption, % 82.94/10.83 X13 = X16). % 82.94/10.83 cnf(c27, plain, % 82.94/10.83 ~theorem(or(not(X13),X14)), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 82.94/10.83 cnf(c28, plain, % 82.94/10.83 ~theorem(X15) | ~theorem(or(not(X15),X16)), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 82.94/10.83 % 82.94/10.83 cnf(c29, axiom, % 82.94/10.83 ~axiom(X17) | theorem(X17)). % 82.94/10.83 cnf(a9, assumption, % 82.94/10.83 X15 = X17). % 82.94/10.83 cnf(c30, plain, % 82.94/10.83 ~theorem(or(not(X15),X16)), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 82.94/10.83 cnf(c31, plain, % 82.94/10.83 ~axiom(X17), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 82.94/10.83 % 82.94/10.83 cnf(c32, axiom, % 82.94/10.83 axiom(or(not(or(X18,X19)),or(X19,X18)))). % 82.94/10.83 cnf(a10, assumption, % 82.94/10.83 X17 = or(not(or(X18,X19)),or(X19,X18))). % 82.94/10.83 cnf(c33, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])). % 82.94/10.83 cnf(c34, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])). % 82.94/10.83 % 82.94/10.83 cnf(c35, axiom, % 82.94/10.83 ~axiom(X20) | theorem(X20)). % 82.94/10.83 cnf(a11, assumption, % 82.94/10.83 or(not(X15),X16) = X20). % 82.94/10.83 cnf(c36, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a11])], [c30, c35])). % 82.94/10.83 cnf(c37, plain, % 82.94/10.83 ~axiom(X20), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a11])], [c30, c35])). % 82.94/10.83 % 82.94/10.83 cnf(c38, axiom, % 82.94/10.83 axiom(or(not(or(not(X21),X22)),or(not(or(X23,X21)),or(X23,X22))))). % 82.94/10.83 cnf(a12, assumption, % 82.94/10.83 X20 = or(not(or(not(X21),X22)),or(not(or(X23,X21)),or(X23,X22)))). % 82.94/10.83 cnf(c39, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a12])], [c37, c38])). % 82.94/10.83 cnf(c40, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a12])], [c37, c38])). % 82.94/10.83 % 82.94/10.83 cnf(c41, axiom, % 82.94/10.83 ~axiom(X24) | theorem(X24)). % 82.94/10.83 cnf(a13, assumption, % 82.94/10.83 or(not(X13),X14) = X24). % 82.94/10.83 cnf(c42, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a13])], [c27, c41])). % 82.94/10.83 cnf(c43, plain, % 82.94/10.83 ~axiom(X24), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a13])], [c27, c41])). % 82.94/10.83 % 82.94/10.83 cnf(c44, axiom, % 82.94/10.83 axiom(or(not(or(not(X25),X26)),or(not(or(X27,X25)),or(X27,X26))))). % 82.94/10.83 cnf(a14, assumption, % 82.94/10.83 X24 = or(not(or(not(X25),X26)),or(not(or(X27,X25)),or(X27,X26)))). % 82.94/10.83 cnf(c45, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a14])], [c43, c44])). % 82.94/10.83 cnf(c46, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a14])], [c43, c44])). % 82.94/10.83 % 82.94/10.83 cnf(c47, axiom, % 82.94/10.83 ~axiom(X28) | theorem(X28)). % 82.94/10.83 cnf(a15, assumption, % 82.94/10.83 or(not(X5),X6) = X28). % 82.94/10.83 cnf(c48, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a15])], [c15, c47])). % 82.94/10.83 cnf(c49, plain, % 82.94/10.83 ~axiom(X28), % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a15])], [c15, c47])). % 82.94/10.83 % 82.94/10.83 cnf(c50, axiom, % 82.94/10.83 axiom(or(not(or(not(X29),X30)),or(not(or(X31,X29)),or(X31,X30))))). % 82.94/10.83 cnf(a16, assumption, % 82.94/10.83 X28 = or(not(or(not(X29),X30)),or(not(or(X31,X29)),or(X31,X30)))). % 82.94/10.83 cnf(c51, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a16])], [c49, c50])). % 82.94/10.83 cnf(c52, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(strict_predicate_extension, [assumptions([a16])], [c49, c50])). % 82.94/10.83 % 82.94/10.83 cnf(c53, plain, % 82.94/10.83 $false, % 82.94/10.83 inference(constraint_solving, [ % 82.94/10.83 bind(X0, or(not(or(X3,X4)),or(X4,X3))), % 82.94/10.83 bind(X1, or(not(or(or(p,q),r)),or(p,or(q,r)))), % 82.94/10.83 bind(X2, or(not(or(X3,X4)),or(X4,X3))), % 82.94/10.83 bind(X3, or(X11,X12)), % 82.94/10.83 bind(X4, r), % 82.94/10.83 bind(X5, or(X27,X26)), % 82.94/10.83 bind(X6, or(not(X0),X1)), % 82.94/10.83 bind(X7, or(not(or(X10,or(X11,X12))),or(X11,or(X10,X12)))), % 82.94/10.83 bind(X8, or(X27,X26)), % 82.94/10.83 bind(X9, or(not(or(X10,or(X11,X12))),or(X11,or(X10,X12)))), % 82.94/10.83 bind(X10, r), % 82.94/10.83 bind(X11, p), % 82.94/10.83 bind(X12, q), % 82.94/10.83 bind(X13, or(not(or(X23,X21)),or(X23,X22))), % 82.94/10.83 bind(X14, or(not(X7),X8)), % 82.94/10.83 bind(X15, or(not(or(X18,X19)),or(X19,X18))), % 82.94/10.83 bind(X16, or(not(or(X23,X21)),or(X23,X22))), % 82.94/10.83 bind(X17, or(not(or(X18,X19)),or(X19,X18))), % 82.94/10.83 bind(X18, r), % 82.94/10.83 bind(X19, q), % 82.94/10.83 bind(X20, or(not(X15),X16)), % 82.94/10.83 bind(X21, or(X18,X19)), % 82.94/10.83 bind(X22, or(X19,X18)), % 82.94/10.83 bind(X23, p), % 82.94/10.83 bind(X24, or(not(X13),X14)), % 82.94/10.83 bind(X25, or(X23,X21)), % 82.94/10.83 bind(X26, or(X23,X22)), % 82.94/10.83 bind(X27, not(or(X10,or(X11,X12)))), % 82.94/10.83 bind(X28, or(not(X5),X6)), % 82.94/10.83 bind(X29, or(X10,or(X11,X12))), % 82.94/10.83 bind(X30, or(X23,X22)), % 82.94/10.83 bind(X31, not(or(X3,X4))) % 82.94/10.83 ], % 82.94/10.83 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])). % 82.94/10.83 % 82.94/10.83 % SZS output end IncompleteProof %------------------------------------------------------------------------------