TSTP Solution File: NUM925+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM925+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:43:18 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 30 unt; 0 def)
% Number of atoms : 56 ( 48 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 10 |; 6 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f955,plain,
$false,
inference(resolution,[],[f954,f399]) ).
fof(f399,plain,
~ ord_less_int(pls,pls),
inference(forward_demodulation,[],[f227,f229]) ).
fof(f229,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
zero_zero_int = pls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_Pls__def) ).
fof(f227,plain,
~ ord_less_int(pls,zero_zero_int),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
~ ord_less_int(pls,zero_zero_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_bin__less__0__simps_I1_J) ).
fof(f954,plain,
ord_less_int(pls,pls),
inference(backward_demodulation,[],[f406,f952]) ).
fof(f952,plain,
plus_plus_int(one_one_int,semiri1621563631at_int(n)) = pls,
inference(trivial_inequality_removal,[],[f949]) ).
fof(f949,plain,
( pls != pls
| plus_plus_int(one_one_int,semiri1621563631at_int(n)) = pls ),
inference(superposition,[],[f473,f622]) ).
fof(f622,plain,
pls = power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(one_one_int))),
inference(backward_demodulation,[],[f414,f603]) ).
fof(f603,plain,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(one_one_int)),
inference(backward_demodulation,[],[f254,f600]) ).
fof(f600,plain,
one_one_int = bit1(pls),
inference(forward_demodulation,[],[f585,f416]) ).
fof(f416,plain,
! [X0] : plus_plus_int(X0,pls) = X0,
inference(forward_demodulation,[],[f259,f229]) ).
fof(f259,plain,
! [X0] : plus_plus_int(X0,zero_zero_int) = X0,
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] : plus_plus_int(X0,zero_zero_int) = X0,
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X14] : plus_plus_int(X14,zero_zero_int) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_zadd__0__right) ).
fof(f585,plain,
bit1(pls) = plus_plus_int(one_one_int,pls),
inference(superposition,[],[f270,f416]) ).
fof(f270,plain,
! [X0] : bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] : bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0),
inference(rectify,[],[f100]) ).
fof(f100,axiom,
! [X18] : bit1(X18) = plus_plus_int(plus_plus_int(one_one_int,X18),X18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_Bit1__def) ).
fof(f254,plain,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_semiring__one__add__one__is__two) ).
fof(f414,plain,
pls = power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),plus_plus_nat(one_one_nat,one_one_nat)),
inference(backward_demodulation,[],[f397,f254]) ).
fof(f397,plain,
pls = power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))),
inference(forward_demodulation,[],[f225,f229]) ).
fof(f225,plain,
zero_zero_int = power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
zero_zero_int = power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))),
inference(flattening,[],[f108]) ).
fof(f108,negated_conjecture,
~ ( zero_zero_int != power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) ),
inference(negated_conjecture,[],[f107]) ).
fof(f107,conjecture,
zero_zero_int != power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f473,plain,
! [X0,X1] :
( pls != power_power_int(X0,number_number_of_nat(X1))
| pls = X0 ),
inference(forward_demodulation,[],[f472,f229]) ).
fof(f472,plain,
! [X0,X1] :
( pls = X0
| zero_zero_int != power_power_int(X0,number_number_of_nat(X1)) ),
inference(forward_demodulation,[],[f362,f229]) ).
fof(f362,plain,
! [X0,X1] :
( zero_zero_int = X0
| zero_zero_int != power_power_int(X0,number_number_of_nat(X1)) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( ( zero_zero_int = power_power_int(X0,number_number_of_nat(X1))
| zero_zero_nat = number_number_of_nat(X1)
| zero_zero_int != X0 )
& ( ( zero_zero_nat != number_number_of_nat(X1)
& zero_zero_int = X0 )
| zero_zero_int != power_power_int(X0,number_number_of_nat(X1)) ) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ( zero_zero_int = power_power_int(X0,number_number_of_nat(X1))
| zero_zero_nat = number_number_of_nat(X1)
| zero_zero_int != X0 )
& ( ( zero_zero_nat != number_number_of_nat(X1)
& zero_zero_int = X0 )
| zero_zero_int != power_power_int(X0,number_number_of_nat(X1)) ) ),
inference(nnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( zero_zero_int = power_power_int(X0,number_number_of_nat(X1))
<=> ( zero_zero_nat != number_number_of_nat(X1)
& zero_zero_int = X0 ) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
! [X2,X22] :
( zero_zero_int = power_power_int(X2,number_number_of_nat(X22))
<=> ( zero_zero_nat != number_number_of_nat(X22)
& zero_zero_int = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_power__eq__0__iff__number__of) ).
fof(f406,plain,
ord_less_int(pls,plus_plus_int(one_one_int,semiri1621563631at_int(n))),
inference(forward_demodulation,[],[f247,f229]) ).
fof(f247,plain,
ord_less_int(zero_zero_int,plus_plus_int(one_one_int,semiri1621563631at_int(n))),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
ord_less_int(zero_zero_int,plus_plus_int(one_one_int,semiri1621563631at_int(n))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_n1pos) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM925+1 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 13:59:03 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (22305)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (22310)WARNING: value z3 for option sas not known
% 0.15/0.38 % (22311)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (22312)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (22308)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (22309)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (22310)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (22313)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (22314)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.40 % (22313)First to succeed.
% 0.21/0.40 % (22313)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22305"
% 0.21/0.40 % (22313)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (22313)------------------------------
% 0.21/0.40 % (22313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (22313)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (22313)Memory used [KB]: 1136
% 0.21/0.40 % (22313)Time elapsed: 0.024 s
% 0.21/0.40 % (22313)Instructions burned: 32 (million)
% 0.21/0.40 % (22305)Success in time 0.044 s
%------------------------------------------------------------------------------