%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM122_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 : n009.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 09:40:20 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 13 ~; 4 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 52 ( 52 usr; 9 con; 0-6 aty)
% Number of variables : 6 ( 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
list: $tType > $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
atom: $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combi:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_1,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
sgn_sgn:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_3,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
ring_1_of_int:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_5,type,
insert:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_6,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_7,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_8,type,
map:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).
tff(func_def_9,type,
member1:
!>[X0: $tType] : fun(list(X0),fun(X0,bool)) ).
tff(func_def_10,type,
set:
!>[X0: $tType] : fun(list(X0),fun(X0,bool)) ).
tff(func_def_11,type,
sublist:
!>[X0: $tType] : ( ( list(X0) * fun(nat,bool) ) > list(X0) ) ).
tff(func_def_12,type,
semiring_1_Nats:
!>[X0: $tType] : fun(X0,bool) ).
tff(func_def_13,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_14,type,
asubst: ( int * list(int) * atom ) > atom ).
tff(func_def_15,type,
dvd: ( int * int * list(int) ) > atom ).
tff(func_def_16,type,
atom_size: atom > nat ).
tff(func_def_17,type,
decr_Z: atom > atom ).
tff(func_def_18,type,
divisor: atom > int ).
tff(func_def_19,type,
hd_coeff: fun(atom,int) ).
tff(func_def_20,type,
hd_coeff1: int > fun(atom,atom) ).
tff(func_def_21,type,
zlcms: list(int) > int ).
tff(func_def_22,type,
qEpres1907640072oeffs1: list(atom) > list(atom) ).
tff(func_def_23,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_24,type,
fFalse: bool ).
tff(func_def_25,type,
fTrue: bool ).
tff(func_def_26,type,
a: atom ).
tff(func_def_27,type,
as: list(atom) ).
tff(func_def_28,type,
b: atom ).
tff(func_def_29,type,
sK0: atom ).
tff(func_def_30,type,
sK1: atom ).
tff(func_def_31,type,
sK2:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * fun(X1,X0) ) > X1 ) ).
tff(func_def_32,type,
sK3:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X0) ) > list(X1) ) ).
tff(func_def_33,type,
sK4:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X0) ) > X0 ) ).
tff(func_def_34,type,
sK5:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).
tff(func_def_35,type,
sK6:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * list(X1) ) > X1 ) ).
tff(func_def_36,type,
sK7:
!>[X0: $tType] : ( ( fun(X0,X0) * list(X0) ) > X0 ) ).
tff(func_def_37,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * list(X1) ) > X1 ) ).
tff(func_def_38,type,
sK9: atom ).
tff(func_def_39,type,
sK10:
!>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_40,type,
sK11: list(int) > int ).
tff(func_def_41,type,
sK12:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > X0 ) ).
tff(func_def_42,type,
sK13:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > list(X0) ) ).
tff(func_def_43,type,
sK14:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > X1 ) ).
tff(func_def_44,type,
sK15:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > list(X1) ) ).
tff(func_def_45,type,
sK16:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_46,type,
sK17:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_47,type,
sK18:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_48,type,
sK19:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_49,type,
sK20:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
sgn_if:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
iszero:
!>[X0: $tType] : ( X0 > $o ) ).
tff(pred_def_11,type,
listMem:
!>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).
tff(pred_def_12,type,
list_ex1:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_13,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(f3,axiom,
! [X0: atom] :
( member(atom,X0,aa(list(atom),fun(atom,bool),set(atom),as))
=> ( aa(atom,int,hd_coeff,X0) != zero_zero(int) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_hd0) ).
tff(f4,axiom,
member(atom,b,aa(list(atom),fun(atom,bool),set(atom),as)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__096b_A_058_Aset_Aas_096) ).
tff(f68,axiom,
! [X0: $tType] : ( member1(X0) = set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_member__set) ).
tff(f116,conjecture,
aa(atom,int,hd_coeff,b) != zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f117,negated_conjecture,
( ( ~ aa(atom,int,hd_coeff,b) ) != zero_zero(int) ),
inference(negated_conjecture,[status(cth)],[f116]) ).
tff(f119,plain,
zero_zero(int) = aa(atom,int,hd_coeff,b),
inference(flattening,[],[f117]) ).
tff(f122,plain,
! [X0: atom] :
( ( aa(atom,int,hd_coeff,X0) != zero_zero(int) )
| ~ member(atom,X0,aa(list(atom),fun(atom,bool),set(atom),as)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f182,plain,
! [X0: atom] :
( ~ member(atom,X0,aa(list(atom),fun(atom,bool),set(atom),as))
| ( zero_zero(int) != aa(atom,int,hd_coeff,X0) ) ),
inference(cnf_transformation,[],[f122]) ).
tff(f183,plain,
member(atom,b,aa(list(atom),fun(atom,bool),set(atom),as)),
inference(cnf_transformation,[],[f4]) ).
tff(f281,plain,
! [X0: $tType] : ( set(X0) = member1(X0) ),
inference(cnf_transformation,[],[f68]) ).
tff(f343,plain,
zero_zero(int) = aa(atom,int,hd_coeff,b),
inference(cnf_transformation,[],[f119]) ).
tff(f346,plain,
! [X0: atom] :
( ( zero_zero(int) != aa(atom,int,hd_coeff,X0) )
| ~ member(atom,X0,aa(list(atom),fun(atom,bool),member1(atom),as)) ),
inference(definition_unfolding,[],[f182,f281]) ).
tff(f347,plain,
member(atom,b,aa(list(atom),fun(atom,bool),member1(atom),as)),
inference(definition_unfolding,[],[f183,f281]) ).
tff(f766,plain,
( ( zero_zero(int) != zero_zero(int) )
| ~ member(atom,b,aa(list(atom),fun(atom,bool),member1(atom),as)) ),
inference(superposition,[],[f346,f343]) ).
tff(f767,plain,
~ member(atom,b,aa(list(atom),fun(atom,bool),member1(atom),as)),
inference(trivial_inequality_removal,[],[f766]) ).
tff(f768,plain,
$false,
inference(forward_subsumption_resolution,[],[f767,f347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM122_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:55:00 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.27 % (3532717)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (3532723)% WARNING: option uhcvi not known.
% 0.19/0.27 % (3532723)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=33740518:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (3532722)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2789979538_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (3532724)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3023011336:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (3532725)dis+10_1_sil=32000:sp=arity:random_seed=1286739334:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (3532727)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1823022802:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (3532726)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1711679256:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (3532728)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4126739478:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (3532723) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3532717-3532723"...
% 0.19/0.27 % (3532723)...printing done.
% 0.19/0.27 % (3532723)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (3532723)------------------------------
% 0.19/0.27 % (3532723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3532723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3532723)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3532723)Termination reason: Refutation
% 0.19/0.27 % (3532723)Time elapsed: 0.011 s
% 0.19/0.27 % (3532723)Peak memory usage: 12 MB
% 0.19/0.27 % (3532723)Instructions burned: 26 (million)
% 0.19/0.27 % (3532717)Success in time 0.044 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------