0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.24 % Computer : n167.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 05:24:09 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.30 % lrs+10_1_av=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=reverse_arity_2 on theBenchmark 0.60/0.80 % Time limit reached! 0.60/0.80 % ------------------------------ 0.60/0.80 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.60/0.80 % Termination reason: Time limit 0.60/0.80 % Termination phase: Saturation 0.60/0.80 0.60/0.80 % Memory used [KB]: 12665 0.60/0.80 % Time elapsed: 0.500 s 0.60/0.80 % ------------------------------ 0.60/0.80 % ------------------------------ 0.62/0.83 % lrs+1011_8_add=large:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 1.24/1.43 % Time limit reached! 1.24/1.43 % ------------------------------ 1.24/1.43 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.24/1.43 % Termination reason: Time limit 1.24/1.43 % Termination phase: Saturation 1.24/1.43 1.24/1.43 % Memory used [KB]: 22899 1.24/1.43 % Time elapsed: 0.600 s 1.24/1.43 % ------------------------------ 1.24/1.43 % ------------------------------ 1.26/1.47 % ott+11_2:1_add=large:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_9 on theBenchmark 2.54/2.77 % Time limit reached! 2.54/2.77 % ------------------------------ 2.54/2.77 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.54/2.77 % Termination reason: Time limit 2.54/2.77 % Termination phase: Saturation 2.54/2.77 2.54/2.77 % Memory used [KB]: 31342 2.54/2.77 % Time elapsed: 1.300 s 2.54/2.77 % ------------------------------ 2.54/2.77 % ------------------------------ 2.60/2.80 % dis+1002_2_add=off:afr=on:afp=10000:afq=2.0:amm=off:anc=none:cond=on:er=filter:fsr=off:nm=0:nwc=1.3:sp=occurrence_2 on theBenchmark 3.06/3.30 % Time limit reached! 3.06/3.30 % ------------------------------ 3.06/3.30 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.06/3.30 % Termination reason: Time limit 3.06/3.30 % Termination phase: Saturation 3.06/3.30 3.06/3.30 % Memory used [KB]: 20596 3.06/3.30 % Time elapsed: 0.500 s 3.06/3.30 % ------------------------------ 3.06/3.30 % ------------------------------ 3.14/3.34 % lrs+1_7_av=off:irw=on:lcm=predicate:lma=on:nm=4:newcnf=on:nwc=1:stl=30:sos=all:sp=occurrence:updr=off_36 on theBenchmark 7.97/8.14 % Time limit reached! 7.97/8.14 % ------------------------------ 7.97/8.14 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 7.97/8.14 % Termination reason: Time limit 7.97/8.14 % Termination phase: Saturation 7.97/8.14 7.97/8.14 % Memory used [KB]: 72152 7.97/8.14 % Time elapsed: 4.800 s 7.97/8.14 % ------------------------------ 7.97/8.14 % ------------------------------ 8.00/8.18 % dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_73 on theBenchmark 17.66/17.78 % Time limit reached! 17.66/17.78 % ------------------------------ 17.66/17.78 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 17.66/17.78 % Termination reason: Time limit 17.66/17.78 % Termination phase: Saturation 17.66/17.78 17.66/17.78 % Memory used [KB]: 296924 17.66/17.78 % Time elapsed: 9.600 s 17.66/17.78 % ------------------------------ 17.66/17.78 % ------------------------------ 17.66/17.83 % ins+1010_3_av=off:bd=off:igbrr=0.3:igpr=on:igrr=1/32:igrp=100:igrpq=1.3:igwr=on:lcm=predicate:lma=on:nm=2:nwc=1:sd=1:ss=axioms:sos=on:sp=occurrence:updr=off_8 on theBenchmark 18.85/19.03 % Time limit reached! 18.85/19.03 % ------------------------------ 18.85/19.03 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 18.85/19.03 % Termination reason: Time limit 18.85/19.03 % Termination phase: Saturation 18.85/19.03 18.85/19.03 % Memory used [KB]: 33261 18.85/19.03 % Time elapsed: 1.200 s 18.85/19.03 % ------------------------------ 18.85/19.03 % ------------------------------ 18.93/19.07 % lrs+1010_2_add=large:afp=4000:afq=2.0:amm=off:bd=off:bs=unit_only:bsr=on:br=off:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=32:nwc=1.1:stl=30:sos=all:sp=reverse_arity:urr=on:updr=off_7 on theBenchmark 20.01/20.17 % Time limit reached! 20.01/20.17 % ------------------------------ 20.01/20.17 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 20.01/20.17 % Termination reason: Time limit 20.01/20.17 % Termination phase: Saturation 20.01/20.17 20.01/20.17 % Memory used [KB]: 46054 20.01/20.17 % Time elapsed: 1.100 s 20.01/20.17 % ------------------------------ 20.01/20.17 % ------------------------------ 20.08/20.21 % dis+11_2_add=large:afr=on:anc=none:gs=on:gsem=on:lwlo=on:nm=16:nwc=1:sd=1:ss=axioms:st=3.0:sos=on_2 on theBenchmark 20.54/20.70 % Time limit reached! 20.54/20.70 % ------------------------------ 20.54/20.70 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 20.54/20.70 % Termination reason: Time limit 20.54/20.70 % Termination phase: Saturation 20.54/20.70 20.54/20.70 % Memory used [KB]: 24690 20.54/20.70 % Time elapsed: 0.500 s 20.54/20.70 % ------------------------------ 20.54/20.70 % ------------------------------ 20.62/20.74 % dis+1010_7_afr=on:afp=10000:afq=1.1:amm=sco:anc=none:bd=off:bsr=on:cond=on:fsr=off:lma=on:nm=32:newcnf=on:nwc=1:urr=ec_only:updr=off_83 on theBenchmark 31.56/31.64 % Time limit reached! 31.56/31.64 % ------------------------------ 31.56/31.64 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 31.56/31.64 % Termination reason: Time limit 31.56/31.64 % Termination phase: Saturation 31.56/31.64 31.56/31.64 % Memory used [KB]: 258545 31.56/31.64 % Time elapsed: 10.900 s 31.56/31.64 % ------------------------------ 31.56/31.64 % ------------------------------ 31.63/31.69 % lrs+1010_2:3_afr=on:afp=40000:afq=1.4:amm=sco:anc=none:bd=off:gs=on:gsem=off:nm=16:nwc=1:nicw=on:sas=z3:stl=30:sd=2:ss=axioms:st=1.5:updr=off_97 on theBenchmark 44.50/44.49 % Time limit reached! 44.50/44.49 % ------------------------------ 44.50/44.49 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 44.50/44.49 % Termination reason: Time limit 44.50/44.49 % Termination phase: Saturation 44.50/44.49 44.50/44.49 % Memory used [KB]: 93900 44.50/44.49 % Time elapsed: 12.800 s 44.50/44.49 % ------------------------------ 44.50/44.49 % ------------------------------ 44.54/44.53 % dis+1002_7_acc=on:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:ccuc=first:fsr=off:gsp=input_only:gs=on:gsem=on:nm=6:nwc=1.1:nicw=on:sos=on:sac=on:sp=occurrence:urr=ec_only_217 on theBenchmark 73.04/72.93 % Time limit reached! 73.04/72.93 % ------------------------------ 73.04/72.93 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 73.04/72.93 % Termination reason: Time limit 73.04/72.93 % Termination phase: Saturation 73.04/72.93 73.04/72.93 % Memory used [KB]: 943609 73.04/72.93 % Time elapsed: 28.400 s 73.04/72.93 % ------------------------------ 73.04/72.93 % ------------------------------ 73.18/73.03 % dis+1010_4_acc=on:afr=on:afp=1000:afq=2.0:anc=none:bd=off:bs=unit_only:bsr=on:ccuc=small_ones:cond=fast:fsr=off:gs=on:gsem=off:lcm=reverse:lma=on:nm=64:nwc=2.5:nicw=on:sd=3:ss=axioms:st=3.0:sac=on:urr=ec_only:updr=off:uhcvi=on_83 on theBenchmark 84.13/83.93 % Time limit reached! 84.13/83.93 % ------------------------------ 84.13/83.93 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 84.13/83.93 % Termination reason: Time limit 84.13/83.93 % Termination phase: Saturation 84.13/83.93 84.13/83.93 % Memory used [KB]: 681097 84.13/83.93 % Time elapsed: 10.900 s 84.13/83.93 % ------------------------------ 84.13/83.93 % ------------------------------ 84.19/84.01 % ott+1011_14_add=large:afr=on:afp=10000:afq=1.4:anc=none:bs=unit_only:cond=on:fde=unused:irw=on:nm=2:nwc=1.5:uhcvi=on_2 on theBenchmark 84.72/84.51 % Time limit reached! 84.72/84.51 % ------------------------------ 84.72/84.51 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 84.72/84.51 % Termination reason: Time limit 84.72/84.51 % Termination phase: Saturation 84.72/84.51 84.72/84.51 % Memory used [KB]: 16375 84.72/84.51 % Time elapsed: 0.500 s 84.72/84.51 % ------------------------------ 84.72/84.51 % ------------------------------ 84.72/84.55 % lrs+4_1_acc=on:afr=on:afp=100000:afq=1.2:amm=sco:anc=none:bd=off:bs=on:bsr=on:ccuc=first:fsr=off:fde=unused:irw=on:lma=on:nm=0:nwc=1.3:stl=30:sd=10:ss=axioms:st=3.0:sos=all:sp=occurrence:uhcvi=on_3 on theBenchmark 85.36/85.14 % Time limit reached! 85.36/85.14 % ------------------------------ 85.36/85.14 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 85.36/85.14 % Termination reason: Time limit 85.36/85.14 % Termination phase: Saturation 85.36/85.14 85.36/85.14 % Memory used [KB]: 23922 85.36/85.14 % Time elapsed: 0.600 s 85.36/85.14 % ------------------------------ 85.36/85.14 % ------------------------------ 85.36/85.18 % lrs+1_8:1_av=off:cond=fast:fde=unused:lcm=predicate:nm=16:nwc=10:stl=60:sp=occurrence:urr=ec_only_3 on theBenchmark 85.51/85.28 % Refutation found. Thanks to Tanya! 85.51/85.28 % SZS status Theorem for theBenchmark 85.51/85.28 % SZS output start Proof for theBenchmark 85.51/85.28 fof(f6,axiom,( 85.51/85.28 ti(int,t) = t), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_t_____res)). 85.51/85.28 fof(f8,axiom,( 85.51/85.28 pls = zero_zero(int)), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_Pls__def)). 85.51/85.28 fof(f150,axiom,( 85.51/85.28 ! [X0] : (comm_semiring_1(X0) => ! [X1] : dvd_dvd(X0,one_one(X0),X1))), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_488_one__dvd)). 85.51/85.28 fof(f256,axiom,( 85.51/85.28 ! [X9] : number_number_of(int,X9) = ti(int,X9)), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_number__of__is__id)). 85.51/85.28 fof(f267,conjecture,( 85.51/85.28 ? [X59,X58] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X59,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X58,number_number_of(nat,bit0(bit1(pls)))))), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 85.51/85.28 fof(f268,negated_conjecture,( 85.51/85.28 ~? [X59,X58] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X59,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X58,number_number_of(nat,bit0(bit1(pls)))))), 85.51/85.28 inference(negated_conjecture,[],[f267])). 85.51/85.28 fof(f289,axiom,( 85.51/85.28 ! [X18] : bit1(X18) = ti(int,bit1(X18))), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_OBit1_res)). 85.51/85.28 fof(f300,axiom,( 85.51/85.28 ord_less_eq(int,one_one(int),t)), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos)). 85.51/85.28 fof(f353,axiom,( 85.51/85.28 ord_less(int,one_one(int),t) => ? [X59,X58] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X59,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X58,number_number_of(nat,bit0(bit1(pls)))))), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)). 85.51/85.28 fof(f458,axiom,( 85.51/85.28 number_number_of(int,bit1(pls)) = one_one(int)), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_one__is__num__one)). 85.51/85.28 fof(f480,axiom,( 85.51/85.28 ! [X47] : (ord_less(int,zero_zero(int),X47) <=> ord_less_eq(int,one_one(int),X47))), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_int__one__le__iff__zero__less)). 85.51/85.28 fof(f529,axiom,( 85.51/85.28 one_one(int) = t => ? [X59,X58] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X59,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X58,number_number_of(nat,bit0(bit1(pls)))))), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)). 85.51/85.28 fof(f560,axiom,( 85.51/85.28 comm_semiring_1(int)), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ocomm__semiring__1)). 85.51/85.28 fof(f600,axiom,( 85.51/85.28 ! [X5,X28] : (ord_less(int,zero_zero(int),X28) => (ord_less(int,X28,X5) => ~dvd_dvd(int,X5,X28)))), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_zdvd__not__zless)). 85.51/85.28 fof(f634,axiom,( 85.51/85.28 ! [X6,X7] : (ord_less(int,X6,X7) | ti(int,X6) = ti(int,X7) | ord_less(int,X7,X6))), 85.51/85.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_zless__linear)). 85.51/85.28 fof(f655,plain,( 85.51/85.28 ~? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))))), 85.51/85.28 inference(rectify,[],[f268])). 85.51/85.28 fof(f656,plain,( 85.51/85.28 ! [X0] : bit1(X0) = ti(int,bit1(X0))), 85.51/85.28 inference(rectify,[],[f289])). 85.51/85.28 fof(f660,plain,( 85.51/85.28 one_one(int) = t => ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))))), 85.51/85.28 inference(rectify,[],[f529])). 85.51/85.28 fof(f661,plain,( 85.51/85.28 ord_less(int,one_one(int),t) => ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))))), 85.51/85.28 inference(rectify,[],[f353])). 85.51/85.28 fof(f676,plain,( 85.51/85.28 ! [X0] : number_number_of(int,X0) = ti(int,X0)), 85.51/85.28 inference(rectify,[],[f256])). 85.51/85.28 fof(f868,plain,( 85.51/85.28 ! [X0] : (ord_less(int,zero_zero(int),X0) <=> ord_less_eq(int,one_one(int),X0))), 85.51/85.28 inference(rectify,[],[f480])). 85.51/85.28 fof(f919,plain,( 85.51/85.28 ! [X0,X1] : (ord_less(int,X0,X1) | ti(int,X0) = ti(int,X1) | ord_less(int,X1,X0))), 85.51/85.28 inference(rectify,[],[f634])). 85.51/85.28 fof(f934,plain,( 85.51/85.28 ! [X0,X1] : (ord_less(int,zero_zero(int),X1) => (ord_less(int,X1,X0) => ~dvd_dvd(int,X0,X1)))), 85.51/85.28 inference(rectify,[],[f600])). 85.51/85.28 fof(f1116,plain,( 85.51/85.28 ! [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))))), 85.51/85.28 inference(ennf_transformation,[],[f655])). 85.51/85.28 fof(f1117,plain,( 85.51/85.28 ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) | one_one(int) != t), 85.51/85.28 inference(ennf_transformation,[],[f660])). 85.51/85.28 fof(f1118,plain,( 85.51/85.28 ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) | ~ord_less(int,one_one(int),t)), 85.51/85.28 inference(ennf_transformation,[],[f661])). 85.51/85.28 fof(f1278,plain,( 85.51/85.28 ! [X0] : (! [X1] : dvd_dvd(X0,one_one(X0),X1) | ~comm_semiring_1(X0))), 85.51/85.28 inference(ennf_transformation,[],[f150])). 85.51/85.28 fof(f1409,plain,( 85.51/85.28 ! [X0,X1] : ((~dvd_dvd(int,X0,X1) | ~ord_less(int,X1,X0)) | ~ord_less(int,zero_zero(int),X1))), 85.51/85.28 inference(ennf_transformation,[],[f934])). 85.51/85.28 fof(f1410,plain,( 85.51/85.28 ! [X0,X1] : (~dvd_dvd(int,X0,X1) | ~ord_less(int,X1,X0) | ~ord_less(int,zero_zero(int),X1))), 85.51/85.28 inference(flattening,[],[f1409])). 85.51/85.28 fof(f1579,plain,( 85.51/85.28 ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) => plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls)))))), 85.51/85.28 introduced(choice_axiom,[])). 85.51/85.28 fof(f1580,plain,( 85.51/85.28 plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls))))) | one_one(int) != t), 85.51/85.28 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1117,f1579])). 85.51/85.28 fof(f1581,plain,( 85.51/85.28 ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) => plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls)))))), 85.51/85.28 introduced(choice_axiom,[])). 85.51/85.28 fof(f1582,plain,( 85.51/85.28 plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls))))) | ~ord_less(int,one_one(int),t)), 85.51/85.28 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f1118,f1581])). 85.51/85.28 fof(f1655,plain,( 85.51/85.28 ! [X0] : ((ord_less(int,zero_zero(int),X0) | ~ord_less_eq(int,one_one(int),X0)) & (ord_less_eq(int,one_one(int),X0) | ~ord_less(int,zero_zero(int),X0)))), 85.51/85.28 inference(nnf_transformation,[],[f868])). 85.51/85.28 fof(f1770,plain,( 85.51/85.28 ( ! [X0,X1] : (plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))))) )), 85.51/85.28 inference(cnf_transformation,[],[f1116])). 85.51/85.28 fof(f1773,plain,( 85.51/85.28 ( ! [X0] : (bit1(X0) = ti(int,bit1(X0))) )), 85.51/85.28 inference(cnf_transformation,[],[f656])). 85.51/85.28 fof(f1854,plain,( 85.51/85.28 comm_semiring_1(int)), 85.51/85.28 inference(cnf_transformation,[],[f560])). 85.51/85.28 fof(f1867,plain,( 85.51/85.28 pls = zero_zero(int)), 85.51/85.28 inference(cnf_transformation,[],[f8])). 85.51/85.28 fof(f1880,plain,( 85.51/85.28 ti(int,t) = t), 85.51/85.28 inference(cnf_transformation,[],[f6])). 85.51/85.28 fof(f1882,plain,( 85.51/85.28 ord_less_eq(int,one_one(int),t)), 85.51/85.28 inference(cnf_transformation,[],[f300])). 85.51/85.28 fof(f1892,plain,( 85.51/85.28 number_number_of(int,bit1(pls)) = one_one(int)), 85.51/85.28 inference(cnf_transformation,[],[f458])). 85.51/85.28 fof(f1915,plain,( 85.51/85.28 plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls))))) | one_one(int) != t), 85.51/85.28 inference(cnf_transformation,[],[f1580])). 85.51/85.28 fof(f1916,plain,( 85.51/85.28 plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls))))) | ~ord_less(int,one_one(int),t)), 85.51/85.28 inference(cnf_transformation,[],[f1582])). 85.51/85.28 fof(f1935,plain,( 85.51/85.28 ( ! [X0] : (number_number_of(int,X0) = ti(int,X0)) )), 85.51/85.28 inference(cnf_transformation,[],[f676])). 85.51/85.28 fof(f2123,plain,( 85.51/85.28 ( ! [X0,X1] : (~comm_semiring_1(X0) | dvd_dvd(X0,one_one(X0),X1)) )), 85.51/85.28 inference(cnf_transformation,[],[f1278])). 85.51/85.28 fof(f2256,plain,( 85.51/85.28 ( ! [X0] : (ord_less(int,zero_zero(int),X0) | ~ord_less_eq(int,one_one(int),X0)) )), 85.51/85.28 inference(cnf_transformation,[],[f1655])). 85.51/85.28 fof(f2329,plain,( 85.51/85.28 ( ! [X0,X1] : (ord_less(int,X0,X1) | ti(int,X0) = ti(int,X1) | ord_less(int,X1,X0)) )), 85.51/85.28 inference(cnf_transformation,[],[f919])). 85.51/85.28 fof(f2344,plain,( 85.51/85.28 ( ! [X0,X1] : (~dvd_dvd(int,X0,X1) | ~ord_less(int,X1,X0) | ~ord_less(int,zero_zero(int),X1)) )), 85.51/85.28 inference(cnf_transformation,[],[f1410])). 85.51/85.28 fof(f2669,plain,( 85.51/85.28 one_one(int) != t), 85.51/85.28 inference(subsumption_resolution,[],[f1915,f1770])). 85.51/85.28 fof(f2670,plain,( 85.51/85.28 ~ord_less(int,one_one(int),t)), 85.51/85.28 inference(subsumption_resolution,[],[f1916,f1770])). 85.51/85.28 fof(f2712,plain,( 85.51/85.28 ( ! [X0] : (ord_less(int,pls,X0) | ~ord_less_eq(int,one_one(int),X0)) )), 85.51/85.28 inference(forward_demodulation,[],[f2256,f1867])). 85.51/85.28 fof(f2773,plain,( 85.51/85.28 ( ! [X0,X1] : (number_number_of(int,X1) = ti(int,X0) | ord_less(int,X0,X1) | ord_less(int,X1,X0)) )), 85.51/85.28 inference(forward_demodulation,[],[f2329,f1935])). 85.51/85.28 fof(f2774,plain,( 85.51/85.28 ( ! [X0,X1] : (ord_less(int,X0,X1) | ord_less(int,X1,X0) | number_number_of(int,X0) = number_number_of(int,X1)) )), 85.51/85.28 inference(forward_demodulation,[],[f2773,f1935])). 85.51/85.28 fof(f2784,plain,( 85.51/85.28 ( ! [X0,X1] : (~ord_less(int,pls,X1) | ~dvd_dvd(int,X0,X1) | ~ord_less(int,X1,X0)) )), 85.51/85.28 inference(forward_demodulation,[],[f2344,f1867])). 85.51/85.28 fof(f2964,plain,( 85.51/85.28 ( ! [X1] : (bit1(X1) = number_number_of(int,bit1(X1))) )), 85.51/85.28 inference(superposition,[],[f1935,f1773])). 85.51/85.28 fof(f2969,plain,( 85.51/85.28 number_number_of(int,t) = t), 85.51/85.28 inference(superposition,[],[f1935,f1880])). 85.51/85.28 fof(f2983,plain,( 85.51/85.28 bit1(pls) = one_one(int)), 85.51/85.28 inference(backward_demodulation,[],[f2964,f1892])). 85.51/85.28 fof(f2988,plain,( 85.51/85.28 ord_less_eq(int,bit1(pls),t)), 85.51/85.28 inference(backward_demodulation,[],[f2983,f1882])). 85.51/85.28 fof(f3011,plain,( 85.51/85.28 ~ord_less(int,bit1(pls),t)), 85.51/85.28 inference(backward_demodulation,[],[f2983,f2670])). 85.51/85.28 fof(f3017,plain,( 85.51/85.28 ( ! [X0] : (~ord_less_eq(int,bit1(pls),X0) | ord_less(int,pls,X0)) )), 85.51/85.28 inference(backward_demodulation,[],[f2983,f2712])). 85.51/85.28 fof(f3162,plain,( 85.51/85.28 bit1(pls) != t), 85.51/85.28 inference(superposition,[],[f2669,f2983])). 85.51/85.28 fof(f3171,plain,( 85.51/85.28 ( ! [X0] : (dvd_dvd(int,one_one(int),X0)) )), 85.51/85.28 inference(resolution,[],[f2123,f1854])). 85.51/85.28 fof(f3174,plain,( 85.51/85.28 ( ! [X0] : (dvd_dvd(int,bit1(pls),X0)) )), 85.51/85.28 inference(forward_demodulation,[],[f3171,f2983])). 85.51/85.28 fof(f3215,plain,( 85.51/85.28 ord_less(int,pls,t)), 85.51/85.28 inference(resolution,[],[f3017,f2988])). 85.51/85.28 fof(f6406,plain,( 85.51/85.28 ord_less(int,t,bit1(pls)) | number_number_of(int,t) = number_number_of(int,bit1(pls))), 85.51/85.28 inference(resolution,[],[f2774,f3011])). 85.51/85.28 fof(f6513,plain,( 85.51/85.28 bit1(pls) = number_number_of(int,t) | ord_less(int,t,bit1(pls))), 85.51/85.28 inference(forward_demodulation,[],[f6406,f2964])). 85.51/85.28 fof(f6514,plain,( 85.51/85.28 bit1(pls) = t | ord_less(int,t,bit1(pls))), 85.51/85.28 inference(forward_demodulation,[],[f6513,f2969])). 85.51/85.28 fof(f6515,plain,( 85.51/85.28 ord_less(int,t,bit1(pls))), 85.51/85.28 inference(subsumption_resolution,[],[f6514,f3162])). 85.51/85.28 fof(f6632,plain,( 85.51/85.28 $false), 85.51/85.28 inference(unit_resulting_resolution,[],[f3215,f3174,f6515,f2784])). 85.51/85.28 % SZS output end Proof for theBenchmark 85.51/85.28 % ------------------------------ 85.51/85.28 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 85.51/85.28 % Termination reason: Refutation 85.51/85.28 85.51/85.28 % Memory used [KB]: 4093 85.51/85.28 % Time elapsed: 0.096 s 85.51/85.28 % ------------------------------ 85.51/85.28 % ------------------------------ 85.51/85.28 % Success in time 85.024 s 85.51/85.28 EOF