%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW498_5 : TPTP v9.3.1. Released v6.0.0.
% 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 01:40:20 PM UTC 2026
% Result : Theorem 0.17s 0.29s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 27 ( 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
complex: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
int: $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
real: $tType ).
tff(func_def_0,type,
fundam1563812824_csqrt: complex > complex ).
tff(func_def_1,type,
abs_abs:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_2,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_5,type,
bit0: int > int ).
tff(func_def_6,type,
bit1: int > int ).
tff(func_def_7,type,
min: int ).
tff(func_def_8,type,
pls: int ).
tff(func_def_9,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_10,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_11,type,
fFalse: bool ).
tff(func_def_12,type,
fTrue: bool ).
tff(func_def_13,type,
x: real ).
tff(func_def_14,type,
y: real ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
pp: bool > $o ).
tff(f2,axiom,
ord_less_eq(real,power_power(real,abs_abs(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x)),number_number_of(nat,bit0(bit1(pls)))),power_power(real,one_one(real),number_number_of(nat,bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096abs_A_I2_A_K_Ax_J_A_094_A2_A_060_061_A1_A_094_A2_096) ).
tff(f12,axiom,
! [X0: real] : ( times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,X0,number_number_of(nat,bit0(bit1(pls))))) = power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),X0),number_number_of(nat,bit0(bit1(pls)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_four__x__squared) ).
tff(f58,axiom,
! [X0: $tType] :
( linordered_idom(X0)
=> ! [X1: X0] : ( power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_power2__abs) ).
tff(f81,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0,X2: X0] : ( times_times(X0,X2,X1) = times_times(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
tff(f96,axiom,
! [X0: $tType] :
( monoid_mult(X0)
=> ! [X1: nat] : ( power_power(X0,one_one(X0),X1) = one_one(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_power__one) ).
tff(f111,axiom,
linordered_idom(real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef_Oreal___Rings_Olinordered__idom) ).
tff(f112,axiom,
comm_semiring_1(real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef_Oreal___Rings_Ocomm__semiring__1) ).
tff(f114,axiom,
monoid_mult(real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef_Oreal___Groups_Omonoid__mult) ).
tff(f128,conjecture,
ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f129,negated_conjecture,
~ ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
inference(negated_conjecture,[status(cth)],[f128]) ).
tff(f130,plain,
~ ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
inference(flattening,[],[f129]) ).
tff(f153,plain,
! [X0: $tType] :
( ! [X1: X0] : ( power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) )
| ~ linordered_idom(X0) ),
inference(ennf_transformation,[],[f58]) ).
tff(f169,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( times_times(X0,X2,X1) = times_times(X0,X1,X2) )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f81]) ).
tff(f183,plain,
! [X0: $tType] :
( ! [X1: nat] : ( power_power(X0,one_one(X0),X1) = one_one(X0) )
| ~ monoid_mult(X0) ),
inference(ennf_transformation,[],[f96]) ).
tff(f185,plain,
ord_less_eq(real,power_power(real,abs_abs(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x)),number_number_of(nat,bit0(bit1(pls)))),power_power(real,one_one(real),number_number_of(nat,bit0(bit1(pls))))),
inference(cnf_transformation,[],[f2]) ).
tff(f197,plain,
! [X0: real] : ( times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,X0,number_number_of(nat,bit0(bit1(pls))))) = power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),X0),number_number_of(nat,bit0(bit1(pls)))) ),
inference(cnf_transformation,[],[f12]) ).
tff(f262,plain,
! [X0: $tType,X1: X0] :
( ~ linordered_idom(X0)
| ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) ) ),
inference(cnf_transformation,[],[f153]) ).
tff(f294,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ comm_semiring_1(X0)
| ( times_times(X0,X2,X1) = times_times(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f169]) ).
tff(f308,plain,
! [X0: $tType,X1: nat] :
( ~ monoid_mult(X0)
| ( one_one(X0) = power_power(X0,one_one(X0),X1) ) ),
inference(cnf_transformation,[],[f183]) ).
tff(f323,plain,
linordered_idom(real),
inference(cnf_transformation,[],[f111]) ).
tff(f324,plain,
comm_semiring_1(real),
inference(cnf_transformation,[],[f112]) ).
tff(f326,plain,
monoid_mult(real),
inference(cnf_transformation,[],[f114]) ).
tff(f340,plain,
~ ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
inference(cnf_transformation,[],[f130]) ).
tff(f418,plain,
! [X0: nat] : ( one_one(real) = power_power(real,one_one(real),X0) ),
inference(resolution,[],[f308,f326]) ).
tff(f444,plain,
! [X0: real,X1: real] : ( times_times(real,X0,X1) = times_times(real,X1,X0) ),
inference(resolution,[],[f294,f324]) ).
tff(f909,plain,
! [X0: real] : ( power_power(real,X0,number_number_of(nat,bit0(bit1(pls)))) = power_power(real,abs_abs(real,X0),number_number_of(nat,bit0(bit1(pls)))) ),
inference(resolution,[],[f262,f323]) ).
tff(f1038,plain,
ord_less_eq(real,power_power(real,abs_abs(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x)),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
inference(superposition,[],[f185,f418]) ).
tff(f1039,plain,
ord_less_eq(real,power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
inference(forward_demodulation,[],[f1038,f909]) ).
tff(f1042,plain,
ord_less_eq(real,power_power(real,times_times(real,x,number_number_of(real,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
inference(forward_demodulation,[],[f1039,f444]) ).
tff(f1048,plain,
~ ord_less_eq(real,power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
inference(superposition,[],[f340,f197]) ).
tff(f1049,plain,
~ ord_less_eq(real,power_power(real,times_times(real,x,number_number_of(real,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
inference(forward_demodulation,[],[f1048,f444]) ).
tff(f1051,plain,
$false,
inference(forward_subsumption_resolution,[],[f1049,f1042]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW498_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n017.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 14:10:36 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 Running first-order model finding
% 0.06/0.21 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
% 0.17/0.29 % (3575722)Will run a generic schedule for satisfiability detection.
% 0.17/0.29 % (3575730)dis+10_1_sil=32000:sp=arity:random_seed=4257765369:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.29 % (3575728)% WARNING: option uhcvi not known.
% 0.17/0.29 % (3575728)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1942538244:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.29 % (3575727)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1533883755_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.29 % (3575729)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2015378403:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.29 % (3575731)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1395044332:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.29 % (3575733)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2152680041:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.29 % (3575732)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4257144762:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.29 % Exception at run slice level
% 0.17/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.29 % (3575741)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2128872070:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.29 % (3575731) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3575722-3575731"...
% 0.17/0.29 % Exception at run slice level
% 0.17/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.29 % (3575730)Instruction limit reached!
% 0.17/0.29 % (3575730)------------------------------
% 0.17/0.29 % (3575730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.29 % (3575730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.29 % (3575730)CaDiCaL version: 2.1.3
% 0.17/0.29 % (3575730)Termination reason: Instruction limit
% 0.17/0.29 % (3575730)Termination phase: Saturation
% 0.17/0.29 % (3575730)Time elapsed: 0.033 s
% 0.17/0.29 % (3575730)Peak memory usage: 12 MB
% 0.17/0.29 % (3575730)Instructions burned: 104 (million)
% 0.17/0.29 % (3575731)...printing done.
% 0.17/0.29 % (3575731)Refutation found. Thanks to Tanya!
% 0.17/0.29 % SZS status Theorem for theBenchmark
% 0.17/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.29 % (3575731)------------------------------
% 0.17/0.29 % (3575731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.29 % (3575731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.29 % (3575731)CaDiCaL version: 2.1.3
% 0.17/0.29 % (3575731)Termination reason: Refutation
% 0.17/0.29 % (3575731)Time elapsed: 0.025 s
% 0.17/0.29 % (3575731)Peak memory usage: 12 MB
% 0.17/0.29 % (3575731)Instructions burned: 39 (million)
% 0.17/0.29 % (3575722)Success in time 0.063 s
% 0.17/0.29 % Vampire exiting
%------------------------------------------------------------------------------