%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM926+1 : 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 : n001.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 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 30 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 7 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 8 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
fof(f2,axiom,
( t = one_one_int
=> ? [X0,X1] : 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) ),
file('/export/starexec/sandbox/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) ).
fof(f3,axiom,
( ord_less_int(one_one_int,t)
=> ? [X0,X1] : 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) ),
file('/export/starexec/sandbox/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) ).
fof(f29,axiom,
! [X0,X1] :
( ord_less_int(X0,X1)
<=> ( ord_less_eq_int(X0,X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_zless__le) ).
fof(f124,conjecture,
? [X0,X1] : 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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f125,negated_conjecture,
~ ? [X0,X1] : 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),
inference(negated_conjecture,[status(cth)],[f124]) ).
fof(f128,plain,
( ? [X0,X1] : 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)
| one_one_int != t ),
inference(ennf_transformation,[],[f2]) ).
fof(f129,plain,
( ? [X0,X1] : 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)
| ~ ord_less_int(one_one_int,t) ),
inference(ennf_transformation,[],[f3]) ).
fof(f143,plain,
! [X0,X1] : 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),
inference(ennf_transformation,[],[f125]) ).
fof(f144,plain,
ord_less_eq_int(one_one_int,t),
inference(cnf_transformation,[],[f1]) ).
fof(f145,plain,
( one_one_int != t
| 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))))) ),
inference(cnf_transformation,[],[f128]) ).
fof(f146,plain,
( ~ ord_less_int(one_one_int,t)
| 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))))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f173,plain,
! [X0,X1] :
( ~ ord_less_eq_int(X0,X1)
| X0 = X1
| ord_less_int(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f300,plain,
! [X0,X1] : 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),
inference(cnf_transformation,[],[f143]) ).
fof(f347,plain,
~ ord_less_int(one_one_int,t),
inference(forward_subsumption_resolution,[],[f146,f300]) ).
fof(f348,plain,
one_one_int != t,
inference(forward_subsumption_resolution,[],[f145,f300]) ).
fof(f655,plain,
( one_one_int = t
| ord_less_int(one_one_int,t) ),
inference(resolution,[],[f173,f144]) ).
fof(f667,plain,
ord_less_int(one_one_int,t),
inference(forward_subsumption_resolution,[],[f655,f348]) ).
fof(f668,plain,
$false,
inference(forward_subsumption_resolution,[],[f667,f347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM926+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 21:48:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.17/0.48 % (3989009)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3989018)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1940382375:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3989015)% WARNING: option uhcvi not known.
% 0.17/0.48 % (3989014)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4125345505_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (3989016)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3932610669:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (3989015)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3213621306:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (3989017)dis+10_1_sil=32000:sp=arity:random_seed=3813204241:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (3989019)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2031890849:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (3989020)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=443018934:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (3989018) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3989009-3989018"...
% 0.17/0.48 % (3989018)...printing done.
% 0.17/0.48 % (3989018)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3989018)------------------------------
% 0.17/0.48 % (3989018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3989018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3989018)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3989018)Termination reason: Refutation
% 0.17/0.48 % (3989018)Time elapsed: 0.008 s
% 0.17/0.48 % (3989018)Peak memory usage: 12 MB
% 0.17/0.48 % (3989018)Instructions burned: 22 (million)
% 0.17/0.48 % (3989009)Success in time 0.043 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------