0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.35 % Computer : n005.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Aug 9 04:15:49 EDT 2022 0.14/0.35 % CPUTime : 0.14/0.36 This is a CNF_ problem 0.14/0.36 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.36 % (2522)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (2527)ott+10_12_awrs=converge:awrsf=64:av=off:bd=preordered:fde=unused:ins=3:nwc=1.5:sp=frequency:uhcvi=on_2028 on theBenchmark 0.20/0.43 % (2530)lrs+10_4:1_av=off:bd=preordered:fde=none:ins=3:lwlo=on:nwc=3:sp=reverse_arity_600 on theBenchmark 0.20/0.43 % (2532)lrs+10_3:1_awrs=decay:awrsf=512:av=off:fde=unused:ins=3:nwc=1:s2a=on:sp=frequency:uhcvi=on_1500 on theBenchmark 0.20/0.43 % (2529)lrs+10_7_av=off:ins=3:lwlo=on:nwc=1.1_1500 on theBenchmark 0.20/0.43 % (2528)lrs+10_3:2_av=off:bd=preordered:ins=3:lwlo=on:nwc=1.1:stl=90:uhcvi=on_529 on theBenchmark 0.20/0.43 % (2531)ott+10_12_awrs=converge:awrsf=64:av=off:bd=preordered:fde=unused:ins=3:nwc=1.5:sp=frequency:uhcvi=on_2100 on theBenchmark 0.20/0.43 % (2526)ott+10_20_av=off:ins=3:nwc=1.5:sp=reverse_arity:uhcvi=on_862 on theBenchmark 0.20/0.43 % (2533)ott+10_5_av=off:ins=3:nwc=1.1:sp=occurrence_2100 on theBenchmark 21.38/3.14 % (2533)First to succeed. 21.38/3.15 % (2533)Refutation found. Thanks to Tanya! 21.38/3.15 % SZS status Unsatisfiable for theBenchmark 21.38/3.15 % SZS output start Proof for theBenchmark 21.38/3.15 fof(f100619,plain,( 21.38/3.15 $false), 21.38/3.15 inference(subsumption_resolution,[],[f100618,f25])). 21.38/3.15 fof(f25,plain,( 21.38/3.15 sP0(one)), 21.38/3.15 inference(inequality_splitting,[],[f18,f24])). 21.38/3.15 fof(f24,plain,( 21.38/3.15 ~sP0(join(composition(converse(sk1),sk1),one))), 21.38/3.15 introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])])). 21.38/3.15 fof(f18,axiom,( 21.38/3.15 one != join(composition(converse(sk1),sk1),one)), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18)). 21.38/3.15 fof(f100618,plain,( 21.38/3.15 ~sP0(one)), 21.38/3.15 inference(backward_demodulation,[],[f29,f100617])). 21.38/3.15 fof(f100617,plain,( 21.38/3.15 one = join(one,composition(converse(sk1),sk1))), 21.38/3.15 inference(forward_demodulation,[],[f100616,f1574])). 21.38/3.15 fof(f1574,plain,( 21.38/3.15 ( ! [X4] : (join(zero,X4) = X4) )), 21.38/3.15 inference(backward_demodulation,[],[f904,f1565])). 21.38/3.15 fof(f1565,plain,( 21.38/3.15 ( ! [X0] : (join(X0,zero) = X0) )), 21.38/3.15 inference(superposition,[],[f912,f1474])). 21.38/3.15 fof(f1474,plain,( 21.38/3.15 ( ! [X3] : (join(zero,complement(complement(X3))) = X3) )), 21.38/3.15 inference(backward_demodulation,[],[f644,f1472])). 21.38/3.15 fof(f1472,plain,( 21.38/3.15 ( ! [X5] : (complement(X5) = join(complement(X5),complement(X5))) )), 21.38/3.15 inference(forward_demodulation,[],[f1439,f1454])). 21.38/3.15 fof(f1454,plain,( 21.38/3.15 ( ! [X2] : (composition(one,X2) = X2) )), 21.38/3.15 inference(backward_demodulation,[],[f1420,f1434])). 21.38/3.15 fof(f1434,plain,( 21.38/3.15 one = converse(one)), 21.38/3.15 inference(superposition,[],[f1420,f13])). 21.38/3.15 fof(f13,axiom,( 21.38/3.15 ( ! [X0] : (composition(X0,one) = X0) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6)). 21.38/3.15 fof(f1420,plain,( 21.38/3.15 ( ! [X2] : (composition(converse(one),X2) = X2) )), 21.38/3.15 inference(forward_demodulation,[],[f1394,f6])). 21.38/3.15 fof(f6,axiom,( 21.38/3.15 ( ! [X0] : (converse(converse(X0)) = X0) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8)). 21.38/3.15 fof(f1394,plain,( 21.38/3.15 ( ! [X2] : (converse(converse(X2)) = composition(converse(one),X2)) )), 21.38/3.15 inference(superposition,[],[f42,f13])). 21.38/3.15 fof(f42,plain,( 21.38/3.15 ( ! [X0,X1] : (composition(converse(X1),X0) = converse(composition(converse(X0),X1))) )), 21.38/3.15 inference(superposition,[],[f9,f6])). 21.38/3.15 fof(f9,axiom,( 21.38/3.15 ( ! [X0,X1] : (converse(composition(X0,X1)) = composition(converse(X1),converse(X0))) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10)). 21.38/3.15 fof(f1439,plain,( 21.38/3.15 ( ! [X5] : (complement(X5) = join(complement(composition(one,X5)),complement(X5))) )), 21.38/3.15 inference(superposition,[],[f7,f1420])). 21.38/3.15 fof(f7,axiom,( 21.38/3.15 ( ! [X0,X1] : (complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11)). 21.38/3.15 fof(f644,plain,( 21.38/3.15 ( ! [X3] : (join(zero,complement(join(complement(X3),complement(X3)))) = X3) )), 21.38/3.15 inference(forward_demodulation,[],[f611,f26])). 21.38/3.15 fof(f26,plain,( 21.38/3.15 zero = complement(top)), 21.38/3.15 inference(forward_demodulation,[],[f20,f12])). 21.38/3.15 fof(f12,axiom,( 21.38/3.15 ( ! [X0] : (top = join(X0,complement(X0))) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12)). 21.38/3.15 fof(f20,plain,( 21.38/3.15 ( ! [X0] : (zero = complement(join(complement(X0),complement(complement(X0))))) )), 21.38/3.15 inference(definition_unfolding,[],[f11,f5])). 21.38/3.15 fof(f5,axiom,( 21.38/3.15 ( ! [X0,X1] : (complement(join(complement(X0),complement(X1))) = meet(X0,X1)) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4)). 21.38/3.15 fof(f11,axiom,( 21.38/3.15 ( ! [X0] : (zero = meet(X0,complement(X0))) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13)). 21.38/3.15 fof(f611,plain,( 21.38/3.15 ( ! [X3] : (join(complement(top),complement(join(complement(X3),complement(X3)))) = X3) )), 21.38/3.15 inference(superposition,[],[f1,f12])). 21.38/3.15 fof(f1,axiom,( 21.38/3.15 ( ! [X0,X1] : (join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3)). 21.38/3.15 fof(f912,plain,( 21.38/3.15 ( ! [X2] : (join(zero,X2) = join(join(zero,X2),zero)) )), 21.38/3.15 inference(forward_demodulation,[],[f910,f6])). 21.38/3.15 fof(f910,plain,( 21.38/3.15 ( ! [X2] : (join(join(zero,X2),zero) = converse(converse(join(zero,X2)))) )), 21.38/3.15 inference(superposition,[],[f341,f725])). 21.38/3.15 fof(f725,plain,( 21.38/3.15 ( ! [X0] : (join(zero,X0) = join(zero,join(zero,X0))) )), 21.38/3.15 inference(forward_demodulation,[],[f717,f26])). 21.38/3.15 fof(f717,plain,( 21.38/3.15 ( ! [X0] : (join(zero,X0) = join(zero,join(complement(top),X0))) )), 21.38/3.15 inference(backward_demodulation,[],[f676,f713])). 21.38/3.15 fof(f713,plain,( 21.38/3.15 top = join(top,top)), 21.38/3.15 inference(forward_demodulation,[],[f712,f399])). 21.38/3.15 fof(f399,plain,( 21.38/3.15 ( ! [X0] : (top = join(complement(X0),X0)) )), 21.38/3.15 inference(forward_demodulation,[],[f360,f6])). 21.38/3.15 fof(f360,plain,( 21.38/3.15 ( ! [X0] : (join(complement(X0),X0) = converse(converse(top))) )), 21.38/3.15 inference(superposition,[],[f341,f12])). 21.38/3.15 fof(f712,plain,( 21.38/3.15 join(top,top) = join(complement(zero),zero)), 21.38/3.15 inference(forward_demodulation,[],[f711,f669])). 21.38/3.15 fof(f669,plain,( 21.38/3.15 zero = join(zero,complement(join(top,top)))), 21.38/3.15 inference(forward_demodulation,[],[f668,f26])). 21.38/3.15 fof(f668,plain,( 21.38/3.15 zero = join(complement(top),complement(join(top,top)))), 21.38/3.15 inference(forward_demodulation,[],[f667,f12])). 21.38/3.15 fof(f667,plain,( 21.38/3.15 zero = join(complement(join(zero,complement(zero))),complement(join(top,top)))), 21.38/3.15 inference(forward_demodulation,[],[f666,f8])). 21.38/3.15 fof(f8,axiom,( 21.38/3.15 ( ! [X0,X1] : (join(X0,X1) = join(X1,X0)) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1)). 21.38/3.15 fof(f666,plain,( 21.38/3.15 zero = join(complement(join(complement(zero),zero)),complement(join(top,top)))), 21.38/3.15 inference(forward_demodulation,[],[f620,f26])). 21.38/3.15 fof(f620,plain,( 21.38/3.15 zero = join(complement(join(complement(zero),complement(top))),complement(join(top,top)))), 21.38/3.15 inference(superposition,[],[f1,f413])). 21.38/3.15 fof(f413,plain,( 21.38/3.15 join(top,top) = join(complement(zero),top)), 21.38/3.15 inference(forward_demodulation,[],[f377,f6])). 21.38/3.15 fof(f377,plain,( 21.38/3.15 join(complement(zero),top) = converse(converse(join(top,top)))), 21.38/3.15 inference(superposition,[],[f341,f88])). 21.38/3.15 fof(f88,plain,( 21.38/3.15 join(top,top) = join(top,complement(zero))), 21.38/3.15 inference(superposition,[],[f77,f12])). 21.38/3.15 fof(f77,plain,( 21.38/3.15 ( ! [X18] : (join(top,join(zero,X18)) = join(top,X18)) )), 21.38/3.15 inference(superposition,[],[f2,f30])). 21.38/3.15 fof(f30,plain,( 21.38/3.15 top = join(top,zero)), 21.38/3.15 inference(superposition,[],[f12,f26])). 21.38/3.15 fof(f2,axiom,( 21.38/3.15 ( ! [X2,X0,X1] : (join(join(X0,X1),X2) = join(X0,join(X1,X2))) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2)). 21.38/3.15 fof(f711,plain,( 21.38/3.15 join(top,top) = join(complement(join(zero,complement(join(top,top)))),zero)), 21.38/3.15 inference(forward_demodulation,[],[f710,f8])). 21.38/3.15 fof(f710,plain,( 21.38/3.15 join(top,top) = join(complement(join(complement(join(top,top)),zero)),zero)), 21.38/3.15 inference(forward_demodulation,[],[f702,f26])). 21.38/3.15 fof(f702,plain,( 21.38/3.15 join(top,top) = join(complement(join(complement(join(top,top)),complement(top))),complement(top))), 21.38/3.15 inference(superposition,[],[f1,f684])). 21.38/3.15 fof(f684,plain,( 21.38/3.15 top = join(complement(join(top,top)),top)), 21.38/3.15 inference(forward_demodulation,[],[f682,f6])). 21.38/3.15 fof(f682,plain,( 21.38/3.15 converse(converse(top)) = join(complement(join(top,top)),top)), 21.38/3.15 inference(superposition,[],[f341,f677])). 21.38/3.15 fof(f677,plain,( 21.38/3.15 top = join(top,complement(join(top,top)))), 21.38/3.15 inference(forward_demodulation,[],[f673,f31])). 21.38/3.15 fof(f31,plain,( 21.38/3.15 top = join(zero,top)), 21.38/3.15 inference(superposition,[],[f8,f30])). 21.38/3.15 fof(f673,plain,( 21.38/3.15 join(zero,top) = join(top,complement(join(top,top)))), 21.38/3.15 inference(superposition,[],[f414,f669])). 21.38/3.15 fof(f414,plain,( 21.38/3.15 ( ! [X19] : (join(top,X19) = join(join(zero,X19),top)) )), 21.38/3.15 inference(forward_demodulation,[],[f378,f6])). 21.38/3.15 fof(f378,plain,( 21.38/3.15 ( ! [X19] : (join(join(zero,X19),top) = converse(converse(join(top,X19)))) )), 21.38/3.15 inference(superposition,[],[f341,f77])). 21.38/3.15 fof(f676,plain,( 21.38/3.15 ( ! [X0] : (join(zero,X0) = join(zero,join(complement(join(top,top)),X0))) )), 21.38/3.15 inference(superposition,[],[f2,f669])). 21.38/3.15 fof(f341,plain,( 21.38/3.15 ( ! [X11,X12] : (join(X11,X12) = converse(converse(join(X12,X11)))) )), 21.38/3.15 inference(forward_demodulation,[],[f340,f3])). 21.38/3.15 fof(f3,axiom,( 21.38/3.15 ( ! [X0,X1] : (converse(join(X0,X1)) = join(converse(X0),converse(X1))) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9)). 21.38/3.15 fof(f340,plain,( 21.38/3.15 ( ! [X11,X12] : (join(X11,X12) = converse(join(converse(X12),converse(X11)))) )), 21.38/3.15 inference(forward_demodulation,[],[f294,f6])). 21.38/3.15 fof(f294,plain,( 21.38/3.15 ( ! [X11,X12] : (converse(join(converse(X12),converse(X11))) = converse(converse(join(X11,X12)))) )), 21.38/3.15 inference(superposition,[],[f254,f3])). 21.38/3.15 fof(f254,plain,( 21.38/3.15 ( ! [X2,X3] : (converse(join(X2,X3)) = converse(join(X3,X2))) )), 21.38/3.15 inference(superposition,[],[f37,f3])). 21.38/3.15 fof(f37,plain,( 21.38/3.15 ( ! [X2,X3] : (join(converse(X3),converse(X2)) = converse(join(X2,X3))) )), 21.38/3.15 inference(superposition,[],[f3,f8])). 21.38/3.15 fof(f904,plain,( 21.38/3.15 ( ! [X4] : (join(X4,zero) = join(zero,join(X4,zero))) )), 21.38/3.15 inference(superposition,[],[f725,f8])). 21.38/3.15 fof(f100616,plain,( 21.38/3.15 join(one,composition(converse(sk1),sk1)) = join(zero,one)), 21.38/3.15 inference(forward_demodulation,[],[f100615,f8])). 21.38/3.15 fof(f100615,plain,( 21.38/3.15 join(one,composition(converse(sk1),sk1)) = join(one,zero)), 21.38/3.15 inference(forward_demodulation,[],[f100096,f26])). 21.38/3.15 fof(f100096,plain,( 21.38/3.15 join(one,composition(converse(sk1),sk1)) = join(one,complement(top))), 21.38/3.15 inference(superposition,[],[f29133,f73197])). 21.38/3.15 fof(f73197,plain,( 21.38/3.15 top = join(complement(composition(converse(sk1),sk1)),one)), 21.38/3.15 inference(forward_demodulation,[],[f73109,f6])). 21.38/3.15 fof(f73109,plain,( 21.38/3.15 converse(converse(top)) = join(complement(composition(converse(sk1),sk1)),one)), 21.38/3.15 inference(superposition,[],[f341,f72919])). 21.38/3.15 fof(f72919,plain,( 21.38/3.15 top = join(one,complement(composition(converse(sk1),sk1)))), 21.38/3.15 inference(forward_demodulation,[],[f72918,f2202])). 21.38/3.15 fof(f2202,plain,( 21.38/3.15 ( ! [X1] : (top = join(X1,top)) )), 21.38/3.15 inference(backward_demodulation,[],[f141,f2166])). 21.38/3.15 fof(f2166,plain,( 21.38/3.15 ( ! [X1] : (top = join(zero,join(X1,top))) )), 21.38/3.15 inference(backward_demodulation,[],[f563,f2161])). 21.38/3.15 fof(f2161,plain,( 21.38/3.15 ( ! [X17] : (top = join(top,X17)) )), 21.38/3.15 inference(backward_demodulation,[],[f410,f2160])). 21.38/3.15 fof(f2160,plain,( 21.38/3.15 ( ! [X27] : (top = join(join(top,X27),zero)) )), 21.38/3.15 inference(forward_demodulation,[],[f2098,f2066])). 21.38/3.15 fof(f2066,plain,( 21.38/3.15 ( ! [X0] : (zero = join(zero,complement(join(top,X0)))) )), 21.38/3.15 inference(forward_demodulation,[],[f2053,f26])). 21.38/3.15 fof(f2053,plain,( 21.38/3.15 ( ! [X0] : (zero = join(complement(top),complement(join(top,X0)))) )), 21.38/3.15 inference(backward_demodulation,[],[f1697,f2051])). 21.38/3.15 fof(f2051,plain,( 21.38/3.15 ( ! [X15] : (top = join(top,complement(X15))) )), 21.38/3.15 inference(forward_demodulation,[],[f2023,f12])). 21.38/3.15 fof(f2023,plain,( 21.38/3.15 ( ! [X15] : (join(top,complement(X15)) = join(X15,complement(X15))) )), 21.38/3.15 inference(superposition,[],[f70,f1472])). 21.38/3.15 fof(f70,plain,( 21.38/3.15 ( ! [X0,X1] : (join(X0,join(complement(X0),X1)) = join(top,X1)) )), 21.38/3.15 inference(superposition,[],[f2,f12])). 21.38/3.15 fof(f1697,plain,( 21.38/3.15 ( ! [X0] : (zero = join(complement(join(top,complement(X0))),complement(join(top,X0)))) )), 21.38/3.15 inference(superposition,[],[f1,f1640])). 21.38/3.15 fof(f1640,plain,( 21.38/3.15 top = complement(zero)), 21.38/3.15 inference(superposition,[],[f1604,f26])). 21.38/3.15 fof(f1604,plain,( 21.38/3.15 ( ! [X4] : (complement(complement(X4)) = X4) )), 21.38/3.15 inference(forward_demodulation,[],[f1603,f6])). 21.38/3.15 fof(f1603,plain,( 21.38/3.15 ( ! [X4] : (converse(converse(X4)) = complement(complement(X4))) )), 21.38/3.15 inference(forward_demodulation,[],[f1569,f1565])). 21.38/3.15 fof(f1569,plain,( 21.38/3.15 ( ! [X4] : (converse(converse(X4)) = join(complement(complement(X4)),zero)) )), 21.38/3.15 inference(superposition,[],[f341,f1474])). 21.38/3.15 fof(f2098,plain,( 21.38/3.15 ( ! [X27] : (top = join(join(top,X27),join(zero,complement(join(top,X27))))) )), 21.38/3.15 inference(superposition,[],[f78,f410])). 21.38/3.15 fof(f78,plain,( 21.38/3.15 ( ! [X3,X4] : (top = join(X3,join(X4,complement(join(X3,X4))))) )), 21.38/3.15 inference(superposition,[],[f2,f12])). 21.38/3.15 fof(f410,plain,( 21.38/3.15 ( ! [X17] : (join(top,X17) = join(join(top,X17),zero)) )), 21.38/3.15 inference(forward_demodulation,[],[f374,f6])). 21.38/3.15 fof(f374,plain,( 21.38/3.15 ( ! [X17] : (join(join(top,X17),zero) = converse(converse(join(top,X17)))) )), 21.38/3.15 inference(superposition,[],[f341,f76])). 21.38/3.15 fof(f76,plain,( 21.38/3.15 ( ! [X17] : (join(top,X17) = join(zero,join(top,X17))) )), 21.38/3.15 inference(superposition,[],[f2,f31])). 21.38/3.15 fof(f563,plain,( 21.38/3.15 ( ! [X1] : (join(top,X1) = join(zero,join(X1,top))) )), 21.38/3.15 inference(superposition,[],[f414,f2])). 21.38/3.15 fof(f141,plain,( 21.38/3.15 ( ! [X1] : (join(X1,top) = join(zero,join(X1,top))) )), 21.38/3.15 inference(superposition,[],[f76,f8])). 21.38/3.15 fof(f72918,plain,( 21.38/3.15 join(one,complement(composition(converse(sk1),sk1))) = join(complement(join(complement(join(one,complement(composition(converse(sk1),sk1)))),top)),top)), 21.38/3.15 inference(forward_demodulation,[],[f72815,f1640])). 21.38/3.15 fof(f72815,plain,( 21.38/3.15 join(one,complement(composition(converse(sk1),sk1))) = join(complement(join(complement(join(one,complement(composition(converse(sk1),sk1)))),complement(zero))),complement(zero))), 21.38/3.15 inference(superposition,[],[f1,f53342])). 21.38/3.15 fof(f53342,plain,( 21.38/3.15 zero = join(complement(join(one,complement(composition(converse(sk1),sk1)))),zero)), 21.38/3.15 inference(forward_demodulation,[],[f53341,f8])). 21.38/3.15 fof(f53341,plain,( 21.38/3.15 zero = join(complement(join(complement(composition(converse(sk1),sk1)),one)),zero)), 21.38/3.15 inference(forward_demodulation,[],[f53340,f26])). 21.38/3.15 fof(f53340,plain,( 21.38/3.15 complement(top) = join(complement(join(complement(composition(converse(sk1),sk1)),one)),complement(top))), 21.38/3.15 inference(forward_demodulation,[],[f53339,f2161])). 21.38/3.15 fof(f53339,plain,( 21.38/3.15 complement(join(top,one)) = join(complement(join(complement(composition(converse(sk1),sk1)),one)),complement(join(top,one)))), 21.38/3.15 inference(forward_demodulation,[],[f53338,f8])). 21.38/3.15 fof(f53338,plain,( 21.38/3.15 complement(join(one,top)) = join(complement(join(complement(composition(converse(sk1),sk1)),one)),complement(join(one,top)))), 21.38/3.15 inference(forward_demodulation,[],[f53337,f1640])). 21.38/3.15 fof(f53337,plain,( 21.38/3.15 complement(join(one,complement(zero))) = join(complement(join(complement(composition(converse(sk1),sk1)),one)),complement(join(one,complement(zero))))), 21.38/3.15 inference(forward_demodulation,[],[f53336,f8])). 21.38/3.15 fof(f53336,plain,( 21.38/3.15 complement(join(complement(zero),one)) = join(complement(join(complement(composition(converse(sk1),sk1)),one)),complement(join(complement(zero),one)))), 21.38/3.15 inference(forward_demodulation,[],[f53335,f1604])). 21.38/3.15 fof(f53335,plain,( 21.38/3.15 complement(join(complement(zero),complement(complement(one)))) = join(complement(join(complement(composition(converse(sk1),sk1)),complement(complement(one)))),complement(join(complement(zero),complement(complement(one)))))), 21.38/3.15 inference(forward_demodulation,[],[f53334,f45700])). 21.38/3.15 fof(f45700,plain,( 21.38/3.15 ( ! [X46,X45] : (complement(join(complement(X45),complement(X46))) = complement(join(complement(X46),complement(X45)))) )), 21.38/3.15 inference(forward_demodulation,[],[f45699,f3503])). 21.38/3.15 fof(f3503,plain,( 21.38/3.15 ( ! [X14,X15] : (join(X14,X15) = join(X15,join(X14,X15))) )), 21.38/3.15 inference(forward_demodulation,[],[f3427,f2298])). 21.38/3.15 fof(f2298,plain,( 21.38/3.15 ( ! [X0,X1] : (join(X0,X1) = join(X0,join(X0,X1))) )), 21.38/3.15 inference(superposition,[],[f2,f2012])). 21.38/3.15 fof(f2012,plain,( 21.38/3.15 ( ! [X0] : (join(X0,X0) = X0) )), 21.38/3.15 inference(superposition,[],[f1472,f1604])). 21.38/3.15 fof(f3427,plain,( 21.38/3.15 ( ! [X14,X15] : (join(X14,X15) = join(X15,join(X14,join(X14,X15)))) )), 21.38/3.15 inference(superposition,[],[f71,f2012])). 21.38/3.15 fof(f71,plain,( 21.38/3.15 ( ! [X2,X3,X4] : (join(X2,join(X3,X4)) = join(join(X3,X2),X4)) )), 21.38/3.15 inference(superposition,[],[f2,f8])). 21.38/3.15 fof(f45699,plain,( 21.38/3.15 ( ! [X46,X45] : (complement(join(complement(X46),complement(X45))) = complement(join(complement(X46),join(complement(X45),complement(X46))))) )), 21.38/3.15 inference(forward_demodulation,[],[f45698,f1454])). 21.38/3.15 fof(f45698,plain,( 21.38/3.15 ( ! [X46,X45] : (complement(join(complement(X46),complement(X45))) = complement(join(complement(X46),join(complement(X45),complement(composition(one,X46)))))) )), 21.38/3.15 inference(forward_demodulation,[],[f45697,f1434])). 21.38/3.15 fof(f45697,plain,( 21.38/3.15 ( ! [X46,X45] : (complement(join(complement(X46),complement(X45))) = complement(join(complement(X46),join(complement(X45),complement(composition(converse(one),X46)))))) )), 21.38/3.15 inference(forward_demodulation,[],[f45696,f29781])). 21.38/3.15 fof(f29781,plain,( 21.38/3.15 ( ! [X126,X127,X125] : (complement(join(X125,X126)) = join(complement(join(X125,X126)),complement(join(X125,join(X126,X127))))) )), 21.38/3.15 inference(superposition,[],[f6623,f2])). 21.38/3.15 fof(f6623,plain,( 21.38/3.15 ( ! [X0,X1] : (complement(X0) = join(complement(X0),complement(join(X0,X1)))) )), 21.38/3.15 inference(superposition,[],[f5519,f1604])). 21.38/3.15 fof(f5519,plain,( 21.38/3.15 ( ! [X31,X30] : (join(X30,complement(join(complement(X30),X31))) = X30) )), 21.38/3.15 inference(forward_demodulation,[],[f5518,f628])). 21.38/3.15 fof(f628,plain,( 21.38/3.15 ( ! [X2,X3] : (join(complement(join(complement(X2),X3)),complement(join(complement(X2),complement(X3)))) = X2) )), 21.38/3.15 inference(superposition,[],[f1,f8])). 21.38/3.15 fof(f5518,plain,( 21.38/3.15 ( ! [X31,X30] : (join(complement(join(complement(X30),X31)),complement(join(complement(X30),complement(X31)))) = join(X30,complement(join(complement(X30),X31)))) )), 21.38/3.15 inference(forward_demodulation,[],[f5411,f8])). 21.38/3.15 fof(f5411,plain,( 21.38/3.15 ( ! [X31,X30] : (join(complement(join(complement(X30),X31)),complement(join(complement(X30),complement(X31)))) = join(complement(join(complement(X30),X31)),X30)) )), 21.38/3.15 inference(superposition,[],[f3903,f1])). 21.38/3.15 fof(f3903,plain,( 21.38/3.15 ( ! [X12,X13] : (join(X12,X13) = join(X12,join(X13,X12))) )), 21.38/3.15 inference(superposition,[],[f79,f2298])). 21.38/3.15 fof(f79,plain,( 21.38/3.15 ( ! [X6,X7,X5] : (join(X5,join(X6,X7)) = join(X7,join(X5,X6))) )), 21.38/3.15 inference(superposition,[],[f2,f8])). 21.38/3.15 fof(f45696,plain,( 21.38/3.15 ( ! [X46,X45] : (complement(join(complement(X46),join(complement(X45),complement(composition(converse(one),X46))))) = join(complement(join(complement(X46),complement(X45))),complement(join(complement(X46),join(complement(X45),complement(composition(converse(one),X46))))))) )), 21.38/3.15 inference(forward_demodulation,[],[f45695,f1604])). 21.38/3.15 fof(f45695,plain,( 21.38/3.15 ( ! [X46,X45] : (complement(join(complement(X46),complement(complement(join(complement(X45),complement(composition(converse(one),X46))))))) = join(complement(join(complement(X46),complement(X45))),complement(join(complement(X46),complement(complement(join(complement(X45),complement(composition(converse(one),X46))))))))) )), 21.38/3.15 inference(forward_demodulation,[],[f45476,f1454])). 21.38/3.15 fof(f45476,plain,( 21.38/3.15 ( ! [X46,X45] : (complement(join(complement(X46),complement(composition(one,complement(join(complement(X45),complement(composition(converse(one),X46)))))))) = join(complement(join(complement(X46),complement(X45))),complement(join(complement(X46),complement(composition(one,complement(join(complement(X45),complement(composition(converse(one),X46)))))))))) )), 21.38/3.15 inference(superposition,[],[f748,f1454])). 21.38/3.15 fof(f748,plain,( 21.38/3.15 ( ! [X2,X3,X4] : (complement(join(complement(X4),complement(composition(X2,complement(join(complement(X3),complement(composition(converse(X2),X4)))))))) = join(complement(join(complement(X4),complement(composition(X2,X3)))),complement(join(complement(X4),complement(composition(X2,complement(join(complement(X3),complement(composition(converse(X2),X4)))))))))) )), 21.38/3.15 inference(superposition,[],[f27,f8])). 21.38/3.15 fof(f27,plain,( 21.38/3.15 ( ! [X2,X0,X1] : (complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))))) )), 21.38/3.15 inference(forward_demodulation,[],[f21,f8])). 21.38/3.15 fof(f21,plain,( 21.38/3.15 ( ! [X2,X0,X1] : (complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))))) )), 21.38/3.15 inference(definition_unfolding,[],[f14,f5,f5,f5,f5,f5])). 21.38/3.15 fof(f14,axiom,( 21.38/3.15 ( ! [X2,X0,X1] : (meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_1_15)). 21.38/3.15 fof(f53334,plain,( 21.38/3.15 complement(join(complement(complement(one)),complement(zero))) = join(complement(join(complement(composition(converse(sk1),sk1)),complement(complement(one)))),complement(join(complement(complement(one)),complement(zero))))), 21.38/3.15 inference(forward_demodulation,[],[f53333,f5111])). 21.38/3.15 fof(f5111,plain,( 21.38/3.15 ( ! [X1] : (zero = composition(X1,zero)) )), 21.38/3.15 inference(superposition,[],[f5074,f1565])). 21.38/3.15 fof(f5074,plain,( 21.38/3.15 ( ! [X10] : (zero = join(composition(X10,zero),zero)) )), 21.38/3.15 inference(forward_demodulation,[],[f5073,f1574])). 21.38/3.15 fof(f5073,plain,( 21.38/3.15 ( ! [X10] : (zero = join(join(zero,composition(X10,zero)),zero)) )), 21.38/3.15 inference(forward_demodulation,[],[f5072,f1475])). 21.38/3.15 fof(f1475,plain,( 21.38/3.15 ( ! [X8,X7] : (join(X7,composition(X8,X7)) = composition(join(one,X8),X7)) )), 21.38/3.15 inference(forward_demodulation,[],[f1441,f1434])). 21.38/3.15 fof(f1441,plain,( 21.38/3.15 ( ! [X8,X7] : (composition(join(converse(one),X8),X7) = join(X7,composition(X8,X7))) )), 21.38/3.15 inference(superposition,[],[f4,f1420])). 21.38/3.15 fof(f4,axiom,( 21.38/3.15 ( ! [X2,X0,X1] : (join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2)) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7)). 21.38/3.15 fof(f5072,plain,( 21.38/3.15 ( ! [X10] : (zero = join(composition(join(one,X10),zero),zero)) )), 21.38/3.15 inference(forward_demodulation,[],[f5071,f26])). 21.38/3.15 fof(f5071,plain,( 21.38/3.15 ( ! [X10] : (zero = join(composition(join(one,X10),complement(top)),zero)) )), 21.38/3.15 inference(forward_demodulation,[],[f5070,f2161])). 21.38/3.15 fof(f5070,plain,( 21.38/3.15 ( ! [X10] : (zero = join(composition(join(one,X10),complement(join(top,composition(converse(X10),top)))),zero)) )), 21.38/3.15 inference(forward_demodulation,[],[f5024,f1475])). 21.38/3.15 fof(f5024,plain,( 21.38/3.15 ( ! [X10] : (zero = join(composition(join(one,X10),complement(composition(join(one,converse(X10)),top))),zero)) )), 21.38/3.15 inference(superposition,[],[f457,f2957])). 21.38/3.15 fof(f2957,plain,( 21.38/3.15 ( ! [X8] : (join(one,X8) = converse(join(one,converse(X8)))) )), 21.38/3.15 inference(superposition,[],[f6,f1500])). 21.38/3.15 fof(f1500,plain,( 21.38/3.15 ( ! [X0] : (converse(join(one,X0)) = join(one,converse(X0))) )), 21.38/3.15 inference(superposition,[],[f3,f1434])). 21.38/3.15 fof(f457,plain,( 21.38/3.15 ( ! [X0] : (zero = join(composition(converse(X0),complement(composition(X0,top))),zero)) )), 21.38/3.15 inference(superposition,[],[f7,f26])). 21.38/3.15 fof(f53333,plain,( 21.38/3.15 complement(join(complement(complement(one)),complement(composition(converse(sk1),zero)))) = join(complement(join(complement(composition(converse(sk1),sk1)),complement(complement(one)))),complement(join(complement(complement(one)),complement(composition(converse(sk1),zero)))))), 21.38/3.15 inference(forward_demodulation,[],[f53017,f26])). 21.38/3.15 fof(f53017,plain,( 21.38/3.15 complement(join(complement(complement(one)),complement(composition(converse(sk1),complement(top))))) = join(complement(join(complement(composition(converse(sk1),sk1)),complement(complement(one)))),complement(join(complement(complement(one)),complement(composition(converse(sk1),complement(top))))))), 21.38/3.15 inference(superposition,[],[f752,f655])). 21.38/3.15 fof(f655,plain,( 21.38/3.15 top = join(complement(sk1),complement(composition(sk1,complement(one))))), 21.38/3.15 inference(forward_demodulation,[],[f618,f616])). 21.38/3.15 fof(f616,plain,( 21.38/3.15 ( ! [X0] : (top = join(complement(join(zero,complement(X0))),complement(join(zero,X0)))) )), 21.38/3.15 inference(superposition,[],[f1,f26])). 21.38/3.15 fof(f618,plain,( 21.38/3.15 ( ! [X3] : (join(complement(sk1),complement(composition(sk1,complement(one)))) = join(complement(join(zero,complement(X3))),complement(join(zero,X3)))) )), 21.38/3.15 inference(superposition,[],[f1,f160])). 21.38/3.15 fof(f160,plain,( 21.38/3.15 zero = complement(join(complement(sk1),complement(composition(sk1,complement(one)))))), 21.38/3.15 inference(superposition,[],[f19,f13])). 21.38/3.15 fof(f19,plain,( 21.38/3.15 ( ! [X0] : (zero = complement(join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0)))))) )), 21.38/3.15 inference(definition_unfolding,[],[f17,f5])). 21.38/3.15 fof(f17,axiom,( 21.38/3.15 ( ! [X0] : (zero = meet(composition(sk1,X0),composition(sk1,complement(X0)))) )), 21.38/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17)). 21.38/3.15 fof(f752,plain,( 21.38/3.15 ( ! [X2,X0,X1] : (complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1)))))))) = join(complement(join(complement(composition(converse(X0),X2)),complement(X1))),complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1)))))))))) )), 21.38/3.15 inference(superposition,[],[f27,f6])). 21.38/3.15 fof(f29133,plain,( 21.38/3.15 ( ! [X16,X17] : (join(X16,X17) = join(X16,complement(join(complement(X17),X16)))) )), 21.38/3.15 inference(forward_demodulation,[],[f29132,f29128])). 21.38/3.15 fof(f29128,plain,( 21.38/3.15 ( ! [X6,X7] : (join(X6,X7) = join(complement(join(complement(X6),X7)),X7)) )), 21.38/3.15 inference(forward_demodulation,[],[f28729,f1604])). 21.38/3.15 fof(f28729,plain,( 21.38/3.15 ( ! [X6,X7] : (join(X6,X7) = join(complement(join(complement(X6),complement(complement(X7)))),X7)) )), 21.38/3.15 inference(superposition,[],[f633,f5872])). 21.38/3.15 fof(f5872,plain,( 21.38/3.15 ( ! [X22,X23] : (join(complement(join(X23,complement(X22))),X22) = X22) )), 21.38/3.15 inference(superposition,[],[f4324,f8])). 21.38/3.15 fof(f4324,plain,( 21.38/3.15 ( ! [X26,X27] : (join(complement(join(complement(X26),X27)),X26) = X26) )), 21.38/3.15 inference(superposition,[],[f3503,f1])). 21.38/3.15 fof(f633,plain,( 21.38/3.15 ( ! [X8,X6,X7] : (join(X6,X8) = join(complement(join(complement(X6),complement(X7))),join(complement(join(complement(X6),X7)),X8))) )), 21.38/3.15 inference(superposition,[],[f2,f1])). 21.38/3.15 fof(f29132,plain,( 21.38/3.15 ( ! [X16,X17] : (join(complement(join(complement(X16),X17)),X17) = join(X16,complement(join(complement(X17),X16)))) )), 21.38/3.15 inference(forward_demodulation,[],[f28733,f1604])). 21.38/3.15 fof(f28733,plain,( 21.38/3.15 ( ! [X16,X17] : (join(X16,complement(join(complement(X17),X16))) = join(complement(join(complement(X16),complement(complement(X17)))),X17)) )), 21.38/3.15 inference(superposition,[],[f633,f612])). 21.38/3.15 fof(f612,plain,( 21.38/3.15 ( ! [X4,X5] : (join(complement(join(complement(X5),complement(X4))),complement(join(complement(X4),X5))) = X4) )), 21.38/3.15 inference(superposition,[],[f1,f8])). 21.38/3.15 fof(f29,plain,( 21.38/3.15 ~sP0(join(one,composition(converse(sk1),sk1)))), 21.38/3.15 inference(forward_demodulation,[],[f24,f8])). 21.38/3.15 % SZS output end Proof for theBenchmark 21.38/3.15 % (2533)------------------------------ 21.38/3.15 % (2533)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 21.38/3.15 % (2533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 21.38/3.15 % (2533)Termination reason: Refutation 21.38/3.15 21.38/3.15 % (2533)Memory used [KB]: 90446 21.38/3.15 % (2533)Time elapsed: 2.710 s 21.38/3.15 % (2533)------------------------------ 21.38/3.15 % (2533)------------------------------ 21.38/3.15 % (2522)Success in time 2.784 s 21.38/3.17 EOF