%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM925+6 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 : Tue Sep 29 12:26:11 PM UTC 2026
% Result : Theorem 0.70s 0.58s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 26 unt; 0 def)
% Number of atoms : 56 ( 33 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 24 ~; 14 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-4 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
( number(X1)
=> ti(X1,number_number_of(X1,X0)) = number_number_of(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_Onumber__class_Onumber__of_res) ).
fof(f46,axiom,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
fof(f78,axiom,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_rel__simps_I2_J) ).
fof(f119,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_Pls__def) ).
fof(f165,axiom,
! [X0] : number_number_of(int,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_number__of__is__id) ).
fof(f210,axiom,
! [X0] :
( ring_11004092258visors(X0)
=> ! [X1,X2] :
( ti(X0,X2) != zero_zero(X0)
=> hAPP(nat,X0,power_power(X0,X2),X1) != zero_zero(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_field__power__not__zero) ).
fof(f554,axiom,
ring_11004092258visors(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Oring__1__no__zero__divisors) ).
fof(f581,axiom,
number(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber) ).
fof(f660,conjecture,
hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) != zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f661,negated_conjecture,
~ ( hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) != zero_zero(int) ),
inference(negated_conjecture,[status(cth)],[f660]) ).
fof(f664,plain,
zero_zero(int) = hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),
inference(flattening,[],[f661]) ).
fof(f675,plain,
! [X0,X1] :
( ti(X1,number_number_of(X1,X0)) = number_number_of(X1,X0)
| ~ number(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f773,plain,
! [X0] :
( ! [X1,X2] :
( hAPP(nat,X0,power_power(X0,X2),X1) != zero_zero(X0)
| zero_zero(X0) = ti(X0,X2) )
| ~ ring_11004092258visors(X0) ),
inference(ennf_transformation,[],[f210]) ).
fof(f1158,plain,
! [X0,X1] :
( ~ number(X1)
| number_number_of(X1,X0) = ti(X1,number_number_of(X1,X0)) ),
inference(cnf_transformation,[],[f675]) ).
fof(f1189,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n)))),
inference(cnf_transformation,[],[f46]) ).
fof(f1230,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),pls)),
inference(cnf_transformation,[],[f78]) ).
fof(f1296,plain,
pls = zero_zero(int),
inference(cnf_transformation,[],[f119]) ).
fof(f1353,plain,
! [X0] : number_number_of(int,X0) = X0,
inference(cnf_transformation,[],[f165]) ).
fof(f1423,plain,
! [X2,X0,X1] :
( ~ ring_11004092258visors(X0)
| zero_zero(X0) = ti(X0,X2)
| zero_zero(X0) != hAPP(nat,X0,power_power(X0,X2),X1) ),
inference(cnf_transformation,[],[f773]) ).
fof(f1902,plain,
ring_11004092258visors(int),
inference(cnf_transformation,[],[f554]) ).
fof(f1929,plain,
number(int),
inference(cnf_transformation,[],[f581]) ).
fof(f2008,plain,
zero_zero(int) = hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),
inference(cnf_transformation,[],[f664]) ).
fof(f2063,plain,
! [X0,X1] :
( number(X1)
| number_number_of(X1,X0) = ti(X1,number_number_of(X1,X0)) ),
inference(consistent_polarity_flipping,[],[f1158]) ).
fof(f2077,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n)))),
inference(consistent_polarity_flipping,[],[f1189]) ).
fof(f2101,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),pls)),
inference(consistent_polarity_flipping,[],[f1230]) ).
fof(f2232,plain,
! [X2,X0,X1] :
( ring_11004092258visors(X0)
| zero_zero(X0) = ti(X0,X2)
| zero_zero(X0) != hAPP(nat,X0,power_power(X0,X2),X1) ),
inference(consistent_polarity_flipping,[],[f1423]) ).
fof(f2681,plain,
~ ring_11004092258visors(int),
inference(consistent_polarity_flipping,[],[f1902]) ).
fof(f2693,plain,
~ number(int),
inference(consistent_polarity_flipping,[],[f1929]) ).
fof(f2851,plain,
! [X0] : number_number_of(int,X0) = ti(int,number_number_of(int,X0)),
inference(resolution,[],[f2063,f2693]) ).
fof(f2854,plain,
! [X0] : ti(int,X0) = X0,
inference(forward_demodulation,[],[f2851,f1353]) ).
fof(f3298,plain,
! [X0,X1] :
( ti(int,X0) = zero_zero(int)
| zero_zero(int) != hAPP(nat,int,power_power(int,X0),X1) ),
inference(resolution,[],[f2232,f2681]) ).
fof(f3300,plain,
! [X0,X1] :
( pls = ti(int,X0)
| zero_zero(int) != hAPP(nat,int,power_power(int,X0),X1) ),
inference(forward_demodulation,[],[f3298,f1296]) ).
fof(f3301,plain,
! [X0,X1] :
( pls = X0
| zero_zero(int) != hAPP(nat,int,power_power(int,X0),X1) ),
inference(forward_demodulation,[],[f3300,f2854]) ).
fof(f3302,plain,
! [X0,X1] :
( pls != hAPP(nat,int,power_power(int,X0),X1)
| pls = X0 ),
inference(forward_demodulation,[],[f3301,f1296]) ).
fof(f3999,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n)))),
inference(forward_demodulation,[],[f2077,f1296]) ).
fof(f4682,plain,
( pls != zero_zero(int)
| pls = hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n)) ),
inference(superposition,[],[f3302,f2008]) ).
fof(f4685,plain,
pls = hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n)),
inference(forward_subsumption_resolution,[],[f4682,f1296]) ).
fof(f4739,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),pls)),
inference(superposition,[],[f3999,f4685]) ).
fof(f4756,plain,
$false,
inference(forward_subsumption_resolution,[],[f4739,f2101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM925+6 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:38:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.58 % (2961388)Will run a generic schedule for satisfiability detection.
% 0.70/0.58 % (2961414)% WARNING: option uhcvi not known.
% 0.70/0.58 % (2961414)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3632994954:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.70/0.58 % (2961413)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=929577761_2999 on theBenchmark for (2999ds/0Mi)
% 0.70/0.58 % (2961415)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=993246559:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.70/0.58 % (2961416)dis+10_1_sil=32000:sp=arity:random_seed=1154360976:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.70/0.58 % (2961417)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2454957664:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.70/0.58 % (2961418)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2406896453:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.70/0.58 % (2961419)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2901833536:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.70/0.58 % (2961416)Instruction limit reached!
% 0.70/0.58 % (2961416)------------------------------
% 0.70/0.58 % (2961416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.58 % (2961416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.58 % (2961416)CaDiCaL version: 2.1.3
% 0.70/0.58 % (2961416)Termination reason: Instruction limit
% 0.70/0.58 % (2961416)Termination phase: Saturation
% 0.70/0.58 % (2961416)Time elapsed: 0.049 s
% 0.70/0.58 % (2961416)Peak memory usage: 13 MB
% 0.70/0.58 % (2961416)Instructions burned: 103 (million)
% 0.70/0.58 % (2961417)Instruction limit reached!
% 0.70/0.58 % (2961417)------------------------------
% 0.70/0.58 % (2961417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.58 % (2961417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.58 % (2961417)CaDiCaL version: 2.1.3
% 0.70/0.58 % (2961417)Termination reason: Instruction limit
% 0.70/0.58 % (2961417)Termination phase: Saturation
% 0.70/0.58 % (2961417)Time elapsed: 0.052 s
% 0.70/0.58 % (2961417)Peak memory usage: 12 MB
% 0.70/0.58 % (2961417)Instructions burned: 116 (million)
% 0.70/0.58 % (2961414) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2961388-2961414"...
% 0.70/0.58 % (2961414)...printing done.
% 0.70/0.58 % (2961414)Refutation found. Thanks to Tanya!
% 0.70/0.58 % SZS status Theorem for theBenchmark
% 0.70/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.58 % (2961414)------------------------------
% 0.70/0.58 % (2961414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.58 % (2961414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.58 % (2961414)CaDiCaL version: 2.1.3
% 0.70/0.58 % (2961414)Termination reason: Refutation
% 0.70/0.58 % (2961414)Time elapsed: 0.073 s
% 0.70/0.58 % (2961414)Peak memory usage: 14 MB
% 0.70/0.58 % (2961414)Instructions burned: 200 (million)
% 0.70/0.58 % (2961388)Success in time 0.143 s
% 0.70/0.58 % Vampire exiting
%------------------------------------------------------------------------------